Karl-heinrich Hofmann

Karl-heinrich Hofmann's AcademicInfluence.com Rankings

Mathematics

#7080

World Rank

#9698

Historical Rank

Algebra

#302

World Rank

#423

Historical Rank

Measure Theory

#1845

World Rank

#2256

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Why Is Karl-heinrich Hofmann Influential?

(Suggest an Edit or Addition)

(See a Problem?)

Karl-heinrich Hofmann's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A Compendium of Continuous Lattices (1980) (1549)
Continuous Lattices and Domains (2003) (1445)
The Structure of Compact Groups (2020) (501)
Elements of compact semigroups (1966) (295)
The spectral theory of distributive continuous lattices (1978) (176)
The Lie Theory of Connected Pro-Lie Groups - A Structure Theory for Pro-Lie Algebras, Pro-Lie Groups (2007) (139)
Compact Semitopological Semigroups and Weakly Almost Periodic Functions (1967) (120)
The Structure of Compact Groups: A Primer for Students - A Handbook for the Expert (2006) (110)
Representations of algebras by continuous sections (1972) (94)
Continuous Lattices and Domains: The Scott Topology (2003) (88)
Splitting in topological groups (1963) (75)
Weight and c (1990) (56)
On the density of the image of the exponential function (1978) (46)
A general character theory for partially ordered sets and lattices (1972) (46)
Foundations of lie semigroups (1983) (44)
Continuous Lattices and Domains: Preface (2003) (41)
Invariant quadratic forms on finite dimensional lie algebras (1986) (33)
Concentration functions and a class of non-compact groups (1981) (32)
A memo on the exponential function and regular points (1992) (32)
Lie's fundamental theorems for local analytical loops. (1986) (32)
Lie algebras with subalgebras of co-dimension one (1965) (31)
The surjectivity question for the exponential function of real Lie groups: A status report (1997) (31)
Divisible Subsemigroups of Lie Groups (1983) (30)
Cohomology theories for compact Abelian groups (1974) (29)
Pro-Lie groups which are infinite-dimensional Lie groups (2006) (28)
Lie groups and subsemigroups with surjective exponential function (1997) (25)
Introduction to the theory of compact groups (1966) (25)
Topological Entropy of Group and Semigroup Actions (1995) (25)
The duality of compact semigroups and C*-bigebras (1970) (24)
Hyperplane subalgebras of real Lie algebras (1990) (24)
Irreducibility and generation in continuous lattices (1976) (23)
Linearly ordered semigroups: Historical origins and A.H. Clifford's influence (1995) (23)
The local theory of semigroups in nilpotent lie groups (1981) (22)
The Structure of Almost Connected Pro-Lie Groups (2009) (22)
Continuous Lattices and Their Applications (1985) (21)
Projective Limits of Finite‐Dimensional Lie Groups (2003) (21)
On the order-theoretical foundation of a theory of quasicompactly generated spaces without separation axiom (1984) (21)
The analytical and topological theory of semigroups : trends and developments (1990) (21)
Locally compact semigroups in which a subgroup with compact complement is dense (1963) (21)
Naturally graded p-filiform Lie algebras in arbitrary finite dimension (2005) (18)
Free compact groups I: Free compact abelian groups (1986) (18)
Transitive actions of locally compact groups on locally contractible spaces (2013) (18)
Compact subgroups of Lie groups and locally compact groups (1994) (17)
Category theoretical methods in topological algebra (1976) (17)
Transitive Actions of Compact Groups and Topological Dimension (2000) (17)
Categories with convergence, exponential functors, and the cohomology of compact abelian groups (1968) (17)
COMPACT EXTENSIONS OF COMPACTLY GENERATED NILPOTENT GROUPS ARE PRO-LIE (1982) (16)
Compact semitopological semigroups (1967) (16)
Control sets and semigroups in semisimple Lie groups (1995) (16)
Locally compact groups, residual Lie groups, and varieties generated by Lie groups (1996) (16)
Nonmeasurable subgroups of compact groups (2014) (14)
Sophus Lie's Third Fundamental Theorem and the Adjoint Functor Theorem (2005) (14)
Large automorphism groups of 16-dimensional planes are Lie groups, II (1998) (14)
The Akivis algebra of a homogeneous loop (1986) (13)
An essay on free compact groups (1982) (13)
Pro-Lie Groups: A Survey with Open Problems (2015) (13)
On the Exponential Map of Almost Simple Real Algebraic Groups (1996) (12)
Equidimensional immersions of locally compact groups (1989) (12)
Compact groups acting with (n−1)-dimensional orbits on subspaces ofn-manifolds (1966) (12)
Semigroup theory and its applications (1996) (12)
Semigroups in algebra, geometry and analysis (1995) (12)
Homogeneous locally compact groups with compact boundary (1963) (12)
On Sophus Lie's Fundamental Theorems. II (1983) (12)
Epimorphisms of C*-algebras are surjective (1994) (11)
A structure theorem on compact groups (2001) (10)
A history of topological and analytical semigroups: a personal view (2000) (9)
Die Volumina in linearen Scharen konvexer Körper (with W. Süss) [30–32g] (2005) (9)
On the interior of subsemigroups of Lie groups (1991) (9)
The exponential function of locally connected compact abelian groups (2004) (9)
The compact generation of closed subgroups of locally compact groups (2008) (8)
Compact homeomorphism groups are profinite (2012) (8)
From a topological theory of semigroups to a geometric one (1995) (8)
Topology of Continuous Lattices: The Scott Topology (1980) (8)
About the cohomology ring of a finite abelian group (1969) (8)
Varieties of topological groups, Lie groups and SIN-groups (1996) (8)
The weights of closed subgroups of a locally compact group (2012) (8)
A compendium of continous lattices (1980) (7)
Recent advances in the representation theory of rings and *-algebras by continuous sections (1974) (7)
Recent developments in the algebraic, analytical, and topological theory of semigroups : proceedings of a conference, held at Oberwolfach, Germany, May 24-30, 1981 (1983) (7)
On Inverse Limits of Finite Dimensional Lie Groups (2005) (7)
A survey on totally ordered semigroups (1996) (7)
Continuity characterizing totally disconnected locally compact groups (2015) (7)
Idempotent Multiplications on Surfaces and Aspherical Spaces (1991) (6)
One dimensional coset spaces (1968) (6)
Approximately finite-dimensional C*-algebras (1980) (6)
The cohomology of compact abelian groups (1968) (6)
Free compact groups II: The center (1988) (5)
The smallest proper congruence on S(X) (1988) (5)
The Pro-Lie Group Aspect of Weakly Complete Algebras and Weakly Complete Group Hopf Algebras (2019) (5)
Some analytical semigroups occurring in probability theory (1996) (5)
A category of topological groups suitable for a structure theory of locally compact groups (2002) (5)
More on cancellative semigroups on manifolds (1988) (5)
Free compact groups IV: Splitting the component and the structure of the commutator group (1991) (5)
Clan acts and codimension (1972) (5)
Weyl groups are finite - and other finiteness properties of Cartan subalgebras (1996) (5)
Semigroups and Hilbert's fifth problem (1994) (5)
d-1 – The Low Separation Axioms T0 and T1 (2003) (5)
Near-Cartan algebras and groups (5)
Topological Semigroups. History, Theory, Applications. (1976) (5)
Classification of 8-Dimensional Compact Projective Planes (2010) (5)
The automorphism group of certain function rings (1961) (5)
On the Component Factor Group G/G_0 of a Pro-Lie Group G (2018) (4)
Alexander Doniphan Wallace on his 68th birthday (1974) (4)
On the Pro-Lie Group Theorem and the Closed Subgroup Theorem (2008) (4)
A short course on the Lie theory of semigroups I (1990) (4)
On porcupine varieties in Lie algebras (1994) (4)
Locally compact groups approximable by subgroups isomorphic to Z or R (2017) (4)
Finite dimensional submodules of G-modules for a compact group G (1969) (4)
The structure of abelian pro-Lie groups (2004) (4)
The Divisibility Problem for subsemigroups of Lie groups (1991) (4)
Representing a Profinite Group as the Homeomorphism Group of a Continuum (2011) (4)
THE DAUNS–HOFMANN THEOREM REVISITED (2011) (4)
Applications of the maximum principle to problems in Lie semigroups (1995) (4)
Free compact groups I: Free compact abelian groups: Published in this journal, volume 23 (1986) pp. 41–64 (1988) (3)
Review: Theodor Bröcker and Tammo tom Dieck, Representations of compact Lie groups (1987) (3)
Extensions of Compact Abelian Groups by Discrete Ones and Their Duality Theory, I (1997) (3)
Finitely generated connected locally compact groups (1992) (3)
Quasitriangular Hom-Lie Bialgebras (2012) (3)
On weakly complete group algebras of compact groups. (2019) (3)
Symmetry of discrete mathematical structures and their symmetry groups : a collection of essays (1991) (3)
Open Mapping Theorems of Topological Groups (2007) (3)
Locally compact products and coproducts in categories of topological groups (1977) (3)
Compact groups with large abelian subgroups (2002) (3)
Iwasawa's Local Splitting Theorem for Pro-Lie Groups (2008) (3)
Letter: On uniform distance property of multilevel block 8-PSK modulation (2010) (3)
GELFAND-NAIMARK THEOREMS FOR NON-COMMUTATIVE TOPOLOGICAL RINGS (1967) (3)
CONTINUOUS LATTICES, TOPOLOGY AND TOPOLOGICAL ALGEBRA (1977) (3)
Continuous Lattices and Domains: Order Theory of Domains (2003) (3)
Connected abelian groups in compact loops (1962) (3)
AUTOMATIC CONTINUITY OF ABSTRACT HOMOMORPHISMS BETWEEN LOCALLY COMPACT AND POLISH GROUPS (2016) (3)
A general invariant metrization theorem for compact spaces (1970) (3)
EMS Tracts in Mathematics,Vol. 2 (2007) (2)
The Sylow structure of scalar automorphism groups (2019) (2)
The foliation of semigroups by congruence classes (1988) (2)
Generators on the arc component of compact connected groups (1993) (2)
Pointwise periodic groups (1963) (2)
Locally compact groups with closed subgroups open and p-adic (1995) (2)
Spectral Theory of Continuous Lattices (1980) (2)
Lie groups and semigroups (1990) (2)
Analysis I - An Introduction to Mathematics via Analysis: in English and German (2000) (2)
An Open Mapping Theorem For Pro-Lie Groups (2007) (2)
The cohomology of finite abelian groups (1973) (2)
Continuous Lattices and Domains: A Primer on Ordered Sets and Lattices (2003) (2)
Continuous Lattices and Domains: Topological Algebra and Lattice Theory: Applications (2003) (2)
Locally compact abelian p-groups (2019) (1)
ON THE STRUCTURE OF CERTAIN LOCALLY COMPACT TOPOLOGICAL GROUPS (2010) (1)
In memoriam: Klaus Keimel (1939–2017) (2018) (1)
An Illustration of the Power of Structure Theory (2000) (1)
Differential encoding/decoding and rotational invariance of block modulation codes (1994) (1)
Introduction to A Compendium of Continuous Lattices (2003) (1)
Recent advances in the representation theory of rings and C[*]-algebras by continuous sections : a seminar held at Tulane University, New Orleans, Louisiana, March 28-April 5, 1973 (1974) (1)
Finite dimensional continuous representations of compact regular semigroups (1984) (1)
Moore groups have the WS-property (1993) (1)
Totally ordered $D$-class decompositions (1964) (1)
Small large subgroups of a topological group (1994) (1)
Foliations induced by congruences (1989) (1)
A history of topological and analytical semigroups (1999) (1)
Local splitting of locally compact groups and pro-Lie groups (2011) (1)
Morphisms and Functors (1980) (1)
Poster cartoons 1983-1998: Plakate aus 15 Jahren; Poster cartoons by Karl Heinrich Hofmann for the Mathematical Colloquium (1998) (1)
Compact elements in solvable real Lie algebras (1992) (1)
Editor's Cut: Managing Scholarly Journals in Mathematics and IT (2005) (1)
The cohomology of classifying spaces of compact groups (1973) (1)
The exponential map in real Lie algebras (1997) (1)
Applications of Transformation Groups to Problems in Topological Semigroups (1968) (1)
Erratum to Transitive actions of locally compact groups on locally contractible spaces (J. reine angew. Math. 702 (2015), 227–243) (2015) (1)
G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, M. W. Mislove and D. S. Scott, Continuous Lattices and Domains (2007) (1)
Commutative diagrams in the fine arts (2002) (1)
Group algebras of compact groups (2019) (1)
Review: Charles F. Dunkl and Donald E. Ramirez, Representations of commutative semitopological semigroups (1977) (1)
INVARIANT QUADRATIC FORMS ON FINITE DIMENSIONAL (1986) (0)
The duality of compact semigroups (1970) (0)
Bernhard Banaschewski, Doctor Honoris Causa: a personal laudatio (2001) (0)
Dualities for compact groups (1970) (0)
Compact semigroups and suitable sets (2002) (0)
Continuous Lattices and Domains: The Lawson Topology (2003) (0)
TOTALLY ORDERED J9-CLASS DECOMPOSITIONS (2007) (0)
Commentaries on Hellmuth Kneser’s Papers in Topology (2005) (0)
Seminar Sophus Lie 2 (1992) 135{151 Near-cartan Algebras and Groups (1992) (0)
Hierarchy of Closures of Matrix Pencils (2004) (0)
Lie Semigroups in Topology and Geometry (2020) (0)
Möbius manifolds, monoids, and retracts of topological groups (2014) (0)
A short note on coproducts of abelian pro-Lie groups (2023) (0)
Jimmie D. Lawson on the occasion of his 75th birthday (2018) (0)
Special Issue: Algebra meets Topology Special Issue on Dikran Dikranjan's 60th Birthday Preface (2012) (0)
Report on the Conference on the Analytical and Topological Theory of Semigroups in Oberwolfach January 29–February 4, 1989 (1990) (0)
The Logical Dependence of the Contents (2013) (0)
Continuous Lattices and Domains: Compact Posets and Semilattices (2003) (0)
Lie groups and exponential Lie subsemigroups (1995) (0)
Problems on the exponential function of Lie groups (1998) (0)
Appendix 5 Measures on Compact Groups (2013) (0)
Category theoretical thinking in the theory of compact groups (2000) (0)
Errors in elements of compact semigroups (1972) (0)
Antrittsrede [101–57] (2005) (0)
Finite and Infinite Dimensional Complex Geometry and Representation Theory (2004) (0)
Jimmie D. Lawson on the occasion of his 75th birthday (2018) (0)
Continuous Lattices and Domains: List of Categories (2003) (0)
The cohomological structure of compact abelian groups (1973) (0)
Throwing a glance at 100 volumes of a journal and at half a century of its existence (2019) (0)
Gesammelte Abhandlungen / Collected Papers (2005) (0)
A note on locally compact subsemigroups of compact groups (2021) (0)
Chapter 1 Basic Topics and Examples (2006) (0)
Involutive bigebras and their relation to C*-bigebras (1970) (0)
Recent trends in the theory of semigroups in analysis and topology (1983) (0)
Topology Proceedings (2008) (0)
Appendix 1 Abelian Groups (2013) (0)
Finite coproducts of commutative C*-algebras with identity (1970) (0)
On Finiteness Theorems and Porcupine varieties in Lie algebras (0)
Chapter 8 Compact Abelian Groups (2006) (0)
AUTOMATIC CONTINUITY OF ABSTRACT HOMOMORPHISMS BETWEEN LOCALLY COMPACT AND POLISH GROUPS (2019) (0)
Kirsti Andersen: Optical Illusions in Rome – A Mathematical Travel Guide (2020) (0)
Preface to the Second and Third Editions (2013) (0)
Index of Symbols (2000) (0)
Categorical thinking in the theory of compact groups (2000) (0)
Hellmuth Kneser: Biographical notes (2005) (0)
A Primer on Complete Lattices (1980) (0)
A Seminar on almost periodic compactifications continuity, and compact semigroups (1984) (0)
On the performance of simple block M-PSK modulation codes in case of carrier phase offset (1993) (0)
Commentaries on Hellmuth Kneser’s Papers in Complex Function Theory (2005) (0)
Compact Posets and Semilattices (1980) (0)
Dualities for totally disconnected compact semigroups (1970) (0)
Chapter 4 Characters (2006) (0)
The confunctor spec for commutative C*-algebras (1970) (0)
Throwing a glance at 100 volumes of a journal and at half a century of its existence (2019) (0)
Lattice Theory of Continuous Lattices (1980) (0)
Chapter 7 Duality for Abelian Topological Groups (2006) (0)
Performance of generalised concatenated codes on fading channels (1993) (0)
Appendix 3 A Primer of Category Theory (2013) (0)
Appendix 4 Selected Results on Topology and Topological Groups (2013) (0)
On Weakly Complete Universal Enveloping Algebras of pro-Lie algebras (2020) (0)
Konvexe Räume [65–52c] (2005) (0)
Locally compact groups with permutable closed subgroups (2021) (0)
Topological Algebra and Lattice Theory: Applications (1980) (0)
SEMIGROUPS IN LIE GROUPS, SEMIALGEBRAS (2010) (0)
ORDERED POWER ASSOCIATIVE GROUPOIDS (2010) (0)
Chapter 12 Cardinal Invariants of Compact Groups (2006) (0)
Symplectic convexity theorems, Lie semigroups, and unitary representations (1995) (0)
Complete Distributivity and the Essential Hull of a T0-Space (2020) (0)
Chapter 5 Linear Lie Groups (2006) (0)
Chapter 2 The Basic Representation Theory of Compact Groups (2006) (0)
Hellmuth Kneser : Gesammelte Abhandlungen : collected papers (2005) (0)
Extensions of Compact Abelian Groups by Discrete Ones and Their Duality Theory, II (2019) (0)
Locally compact groups approximable by subgroups isomorphic to $\mathbb Z$ or $\mathbb R$ (2016) (0)
Lie{projective Groups Holger Bickel (1995) (0)
Commentaries on Hellmuth Kneser’s Contributions to Miscellaneous Subjects (2005) (0)
Solvable Subgroups of Locally Compact Groups (2008) (0)
Covering space semigroups and retracts of compact Lie groups (2016) (0)
On Compact Just-Non-Lie Groups (2007) (0)
Kan extensions of functors on dense categories (1973) (0)
Topology Proceedings 39 (2012) pp. 185-194: Topological Left-loops (2011) (0)
Chapter 6 Compact Lie Groups (2006) (0)
Topology of Continuous Lattices: The Lawson Topology (1980) (0)
Chapter 10 Compact Group Actions (2006) (0)
Appendix 6 Well-Ordered Projective Limits, Supercompactness, and Compact Homeomorphism Groups (2013) (0)
Topology Proceedings 2 (1977) pp. 179-212: CONTINUOUS LATTICES, TOPOLOGY AND TOPOLOGICAL ALGEBRA (2007) (0)
Advances in the Theory of Compact Groups and Pro-Lie Groups in the Last Quarter Century (2021) (0)
Appendix 2 Covering Spaces and Groups (2013) (0)
Chapter 3 The Ideas of Peter and Weyl (2006) (0)
Chapter 9 The Structure of Compact Groups (2006) (0)
Continuous Lattices and Domains: Bibliography (2003) (0)
Chapter 11 The Structure of Free Compact Groups (2006) (0)
Torsion and curvature in smooth loops (2022) (0)
Continuous Lattices and Domains: Foreword to A Compendium of Continuous Lattices (2003) (0)
FIFTY YEARS OF TOPOLOGICAL ALGEBRA Dedicated to (0)
The structural components of a compact connected semigroup with 1 (1966) (0)
In memoriam (1986) (0)
Commentary on Hellmuth Kneser’s Contributions to Convexity (2005) (0)
ON THE DIMENSIONAL CAPACITY OF COMPACT SEMILATTICES (2004) (0)
Tulane University Ring and Operator Theory Year, 1970-1971 (2008) (0)
On Weakly Complete Universal Enveloping Algebras: A Poincare-Birkhoff-Witt Theorem (2020) (0)
Almost periodic and weakly almost periodic functions on semitopological semigroups (1967) (0)
Commentaries on Hellmuth Kneser’s Contributions to Education (2005) (0)
Commentary on Hellmuth Kneser’s Contributions to Foundations (2005) (0)
Counting the topological dimension of large homogeneous spaces of compact groups (2002) (0)
Group Algebras of Compact Groups. A New Way of Producing Group Hopf Algebras over Real and Complex Fields: Weakly Complete Topological Vector Spaces (2019) (0)

This paper list is powered by the following services:

What Schools Are Affiliated With Karl-heinrich Hofmann?

Karl-heinrich Hofmann is affiliated with the following schools:

Karl-heinrich Hofmann's Academic­Influence.com Rankings

Why Is Karl-heinrich Hofmann Influential?

Karl-heinrich Hofmann's Published Works

Published Works

What Schools Are Affiliated With Karl-heinrich Hofmann?

Karl-heinrich Hofmann's AcademicInfluence.com Rankings