Karin Erdmann | Academic Influence

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Karin Erdmann

Mathematics

#3396

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#5019

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Measure Theory

#2739

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#3271

Historical Rank

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Mathematics

Karin Erdmann's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics University of Oxford

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Why Is Karin Erdmann Influential?

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According to Wikipedia, Karin Erdmann is a German mathematician specializing in the areas of algebra known as representation theory and homological algebra . She is notable for her work in modular representation theory which has been cited over 1500 times according to the Mathematical Reviews. Her nephew Martin Erdmann is professor for experimental particle physics at the RWTH Aachen University.

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Karin Erdmann'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

Blocks of Tame Representation Type and Related Algebras (1990) (456)
Introduction to Lie algebras (2006) (209)
Radical embeddings and representation dimension (2002) (126)
On Auslander-Reiten components of blocks and self-injective biserial algebras (1992) (93)
Twisted bimodules and Hochschild cohomology for self-injective algebras of class An (1999) (92)
THE q‐SCHUR ALGEBRA (London Mathematical Society Lecture Note Series 253) (2000) (77)
The stable Calabi-Yau dimension of tame symmetric algebras (2006) (67)
Principal blocks of groups with dihedral sylow 2-subgroups (1977) (66)
Symmetric Groups and Quasi-Hereditary Algebras (1994) (59)
Representation theory of the Drinfeld doubles of a family of Hopf algebras (2004) (59)
On Auslander-Reiten components for group algebras (1995) (58)
Deformed preprojective algebras of generalized Dynkin type (2007) (54)
Representation type of Hecke algebras of type $A$ (2001) (54)
On Hochschild Cohomology of Preprojective Algebras, I (1998) (51)
Young modules for symmetric groups (2001) (49)
SCHUR ALGEBRAS OF FINITE TYPE (1993) (47)
On Standardly Stratified Algebras (2003) (46)
Algebras and Dihedral Defect Groups (1987) (45)
Algebras and Representation Theory (2018) (44)
On Hochschild cohomology of preprojective algebras, II (1998) (43)
MAXIMAL n-ORTHOGONAL MODULES FOR SELFINJECTIVE ALGEBRAS (2006) (42)
On Ringel duality for Schur algebras (2002) (41)
Tilting Modules, Symmetric Functions, and the Module Structure of the Free Lie Algebra (1998) (40)
Twisted Bimodules and Hochschild Cohomology for Self-injective Algebras of Class An, II (2002) (39)
Blocks and Simple Modules with Cyclic Vertices (1977) (39)
Weighted surface algebras (2017) (36)
Extensions of Modules over Schur Algebras, Symmetric Groups and Hecke Algebras (2004) (36)
Self-injective algebras of wild tilted type (2000) (34)
Tensor products and dimensions of simple modules for symmetric groups (1995) (33)
Radical cube zero weakly symmetric algebras and support varieties (2010) (32)
Representation type of -Schur algebras (2001) (32)
Decomposition Numbers for Symmetric Groups and Composition Factors of Weyl Modules (1996) (30)
Blocks whose defect groups are klein four groups: A correction (1982) (30)
Algebras and Semidihedral Defect Groups I (1988) (30)
Algebras of generalized quaternion type (2017) (28)
Ext1 for Weyl modules ofSL2(K) (1995) (26)
On representations of affine Temperley–Lieb algebras, II (1998) (26)
Modular Lie powers and the Solomon descent algebra (2004) (25)
On Ext2 between Weyl modules for quantum GLn (2000) (24)
Algebras and quaternion defect groups. I (1988) (23)
On Schur algebras, Ringel duality and symmetric groups (2002) (22)
Co)homology of quantum complete intersections (2007) (21)
Periodicity of self-injective algebras of polynomial growth☆ (2015) (20)
Rank varieties for a class of finite-dimensional local algebras (2007) (20)
Representation type of Schur algebras (1999) (19)
Algebras and quaternion defect groups. II (1988) (18)
On the Hochschild cohomology of tame Hecke algebras (2009) (18)
Weighted surface algebras: General version (2019) (18)
ALGEBRAS OF GENERALIZED DIHEDRAL TYPE (2017) (18)
From Brauer graph algebras to biserial weighted surface algebras (2017) (17)
On 2-blocks with semidihedral defect groups (1979) (17)
Higher Tetrahedral Algebras (2017) (15)
Blocks for symmetric groups and their covering groups and quadratic forms. (1996) (14)
Quiver and Relations for the Principal p-Block of σ2p (1994) (13)
On the global and ∇-filtration dimensions of quasi-hereditary algebras (2004) (12)
Cohomology of Hecke algebras (2010) (12)
Blocks whose defect groups are Klein four groups (1979) (12)
On modules with cyclic vertices in the Auslander-Reiten quiver (1986) (12)
The stable Auslander–Reiten quiver of a quantum complete intersection (2009) (12)
On the stable module category of a self-injective algebra (2000) (11)
A generic algebra associated to certain Hecke algebras (2003) (11)
Rank varieties and projectivity for a class of local algebras (2004) (11)
The Ringel dual of the Auslander–Dlab–Ringel algebra (2017) (10)
Blocks with dihedral defect groups in solvable groups (1977) (10)
The representation dimension of Hecke algebras and symmetric groups (2010) (10)
Deformed preprojective algebras of generalized Dynkin type Ln: Classification and symmetricity (2011) (10)
Schur–Weyl duality for infinitesimal q-Schur algebras sq(2,r)1 (2008) (9)
The periodicity conjecture for blocks of group algebras (2015) (9)
STRATIFYING SYSTEMS, FILTRATION MULTIPLICITIES AND SYMMETRIC GROUPS (2005) (9)
On the vertices of modules in the Auslander-Reiten quiver ofp-groups (1990) (9)
The Complexity of the Lie Module (2011) (8)
On the number of simple modules of certain tame blocks and algebras (1988) (8)
Hochschild cohomology of some quantum complete intersections (2017) (8)
On Auslander-Reiten translates in functorially finite subcategories and applications (2010) (8)
On Young modules of general linear groups (2007) (8)
D-filtered modules and nilpotent orbits of a parabolic subgroup in On (2011) (7)
Endomorphism rings of permutation modules over maximal Young subgroups (2006) (7)
Higher spherical algebras (2019) (7)
Hochschild cohomology of Hecke algebras (2011) (7)
Ext1 for Eyl modules of SL2 (K). (1995) (7)
The Avrunin–Scott theorem for quantum complete intersections (2008) (7)
Radical cube zero selfinjective algebras of finite complexity (2011) (6)
Stable Green Ring of the Drinfeld Doubles of the Generalised Taft Algebras (Corrections and New Results) (2016) (6)
Projective modules in blocks with elementary abelian defect groups (1983) (6)
On Auslander-Reiten components for wild blocks (1991) (6)
Specht modules in the Auslander–Reiten quiver (2014) (6)
Crossed Products as Twisted Category Algebras (2015) (5)
On tubes for blocks of wild type (1999) (5)
On 2-modular representations of GU2(q),q = 3 MOD 4 (1992) (5)
Weighted surface algebras: general version. Corrigendum (2020) (5)
Representations of GLn(K) and Symmetric Groups (1997) (5)
On the structure and cohomology ring of connected Hopf algebras (2019) (5)
On Hochschild Cohomology for Selfinjective Special Biserial Algebras (2013) (5)
Algebras with non-periodic bounded modules (2016) (4)
Chebyshev polynomials on symmetric matrices (2010) (4)
The vertices of a class of Specht modules and simple modules for symmetric groups in characteristic 2 (2012) (4)
Block components of the Lie module for the symmetric group (2012) (4)
Corrigendum to “Weighted surface algebras: General version” [J. Algebra 544 (2020) 170–227] (2021) (4)
The non-projective part of the Lie module for the symmetric group (2010) (4)
The Lie Module of the Symmetric Group (2009) (4)
Bounding and unbounding higher extensions for SL2 (2013) (4)
Low-Dimensional Lie Algebras (2006) (3)
Metabelian Lie powers of the natural module for a general linear group (2012) (3)
Morita Equivalence for Blocks of the Schur Algebras (1994) (3)
Tame symmetric local algebras (1990) (3)
Hochschild cohomology for periodic algebras of polynomial growth (2017) (2)
The cohomology ring of some Hopf algebras (2017) (2)
RELATIVE AUSLANDER-REITEN SEQUENCES FOR QUASI-HEREDITARY ALGEBRAS (2002) (2)
Homological invariants of the arrow removal operation (2021) (2)
On the global and \nabla-filtration dimensions of quasi-hereditary algebras (2005) (2)
EXT-FINITE MODULES FOR WEAKLY SYMMETRIC ALGEBRAS WITH RADICAL CUBE ZERO (2015) (2)
Vertices of Lie modules (2013) (2)
Quasi-hereditary covers of Temperley-Lieb algebras and relative dominant dimension (2022) (2)
The Avrunin and Scott theorem and a truncated polynomial algebra (2006) (2)
Type A Hecke algebras and related algebras (2004) (2)
On semisimple deformations of local semidlhedral algebras (1994) (2)
On a class of tame symmetric algebras having only periodic modules (1990) (1)
Lie powers of the natural module for GL(2,K) (2011) (1)
THE LIE MODULE OF THE SYMMETRIC GROUP (Representation Theory and Combinatorics) (2010) (1)
Dimensions of Higher Extensions for SL_2 (2012) (1)
Matrix factorizations for quantum complete intersections (2017) (1)
Tame symmetric algebras of period four (2023) (1)
Torsion Pairs and Ringel Duality for Schur Algebras (2021) (1)
On the decomposition map for symmetric groups (2008) (1)
Socle equivalences of weighted surface algebras (2020) (1)
On Auslander–Reiten sequences for Borel–Schur algebras (2013) (1)
Cluster tilting modules for mesh algebras (2019) (1)
On characteristic p Verma modules and subalgebras of the hyperalgebra (1994) (1)
On periodic modules in p-blocks of type SL2 (1986) (1)
Modelling Richardson Orbits for so N via ∆-filtered Modules (2008) (1)
More on modules, quivers, Auslander-Reiten sequences (1990) (0)
A new parametrisation of tilting modules for GL(3,K) over characteristic 2 (2006) (0)
Lie powers for general linear groups and Lie modules for symmetric groups (2011) (0)
Hybrid algebras (2021) (0)
Solvable Lie Algebras and a Rough Classification (2006) (0)
Representation Type of Borel-Schur Algebras (2019) (0)
From Brauer graph algebras to biserial weighted surface algebras (2018) (0)
Matrix factorizations for quantum complete intersections (2019) (0)
James Alexander Green. 26 February 1926—7 April 2014 (2019) (0)
Book Review: Hochschild cohomology for algebras (2020) (0)
On Auslander-Reiten theory for algebras and derived categories (2009) (0)
The Root Space Decomposition (2006) (0)
Appendix D: Weyl Groups (2006) (0)
The Calabi-Yau dimension of tame symmetric algebras (2005) (0)
Algebras, quivers, representation type, Auslander-Reiten theory, coverings (1990) (0)
Modules of Constant Jordan Type over Quantum Complete Intersections (2019) (0)
A GENERIC ALGEBRA ASSOCIATED TO CERTAIN (2007) (0)
A characterisation of blocks of finite type (2014) (0)
Crossed Products as Twisted Category Algebras (2014) (0)
The Classical Lie Algebras (2006) (0)
Appendix B: Weyl’s Theorem (2006) (0)
Graded blocks of group algebras (2010) (0)
Nilpotent Elements in Hochschild Cohomology (2016) (0)
Semisimple Group Algebras and Maschke’s Theorem (2018) (0)
Stable Auslander-Reiten components for tame blocks (1990) (0)
Representations of Quivers (2018) (0)
Proofs and Background (2018) (0)
On (cid:2) -parabolic Hecke algebras of symmetric groups (2020) (0)
Cohomology of some local selfinjective algebras (2019) (0)
Special biserial algebras and the local semidihedral algebra (1990) (0)
Centres, blocks, decomposition numbers (1990) (0)
Higher spherical algebras (2019) (0)
A characterisation of blocks of finite type (2014) (0)
Diagrams and Roots (2018) (0)
Higher Tetrahedral Algebras (2018) (0)
Ideals and Homomorphisms (2006) (0)
Simple Modules and the Jordan–Hölder Theorem (2018) (0)
Subalgebras of gl(V) (2006) (0)
ENDOMORPHISM RINGS OF PERMUTATION MODULES OVER (2006) (0)
Mini-Workshop: Support Varieties (2009) (0)
Decomposition numbers for symmetric groups (2009) (0)
Simple Lie Algebras (2006) (0)
Appendix E: Answers to Selected Exercises (2006) (0)
‘EXT-FINITE MODULES FOR WEAKLY SYMMETRIC ALGEBRAS WITH RADICAL CUBE ZERO’ (2017) (0)
Semisimple Modules and Semisimple Algebras (2018) (0)
The Classification of Root Systems (2006) (0)
Appendix A: Linear Algebra (2006) (0)
Rhombus Filtrations and Rauzy Algebras (2007) (0)
Modules and Representations (2018) (0)
Supplementary material from "JAMES ALEXANDER GREEN. 26 February 1926 – 7 April 2014" (2019) (0)
Representations of sl(2, C) (2006) (0)
Algebras of semidihedral type (1990) (0)
On $$\ell $$-parabolic Hecke algebras of symmetric groups (2020) (0)
Some Representation Theory (2006) (0)
Classification problems for modular group representations (1992) (0)
Some cluster tilting modules for weighted surface algebras (2021) (0)
Stable Green Ring of the Drinfeld Doubles of the Generalised Taft Algebras (Corrections and New Results) (2018) (0)
The Structure of Semisimple Algebras: The Artin–Wedderburn Theorem (2018) (0)
Algebras of dihedral type (1990) (0)
A note on representation-finite symmetric algebras (2023) (0)
ON AUSLANDER-REITEN SEQUENCES FOR (2013) (0)
Algebras of quaternion type (1990) (0)
On Ext-Quivers of Blocks of Weight Two for Symmetric Groups (2020) (0)
Modelling Richardson orbits for SO_N via Delta-filtered modules (2008) (0)
O ct 2 01 7 ALGEBRAS OF GENERALIZED QUATERNION TYPE (0)
Engel’s Theorem and Lie’s Theorem (2006) (0)
Appendix C: Cartan Subalgebras (2006) (0)
STRONGLY OMNIPRESENT INTEGRAL OPERATORS (2019) (0)
7 J an 2 00 6 ENDOMORPHISM RINGS OF PERMUTATION MODULES OVER (2005) (0)

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