Janusz Grabowski

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Janusz Grabowski is affiliated with the following schools: Lancaster University, University of Warsaw

Janusz Grabowski's AcademicInfluence.com Rankings

Janusz Grabowski

Mathematics

#5850

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#8195

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Group Theory

#161

World Rank

#192

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Number Theory

#286

World Rank

#357

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Algebra

#411

World Rank

#562

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mathematics Degrees

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Mathematics

Janusz Grabowski's Degrees

PhD Mathematics University of Warsaw

Why Is Janusz Grabowski Influential?

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According to Wikipedia, Janusz Roman Grabowski Polish mathematician working in differential geometry and mathematical methods in classical and quantum physics. Scientific career Grabowski earned his MSc degree in mathematics in 1978 at the Faculty of Mathematics, Informatics and Mechanics of the University of Warsaw. His master thesis was awarded the first degree Marcinkowski Prize of the Polish Mathematical Society. In the period of 1978-2001 he worked at the University of Warsaw earning his PhD in 1982 and habilitation in 1993. He was giving courses in Calculus I, II, III, Functional Analysis, Lie algebras and Lie groups, Differential Geometry, etc.

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Janusz Grabowski'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

On partial languages (1981) (271)
Lie algebroids and Poisson-Nijenhuis structures (1997) (144)
Higher vector bundles and multi-graded symplectic manifolds (2007) (138)
Tangent lifts of Poisson and related structures (1995) (112)
Algebroids — general differential calculi on vector bundles☆ (1999) (111)
Geometry of quantum systems: Density states and entanglement (2005) (103)
Algebraic and Logic Programming (1988) (99)
Quantum Bi-Hamiltonian Systems (2000) (99)
The graded Jacobi algebras and (co)homology (2002) (99)
POISSON STRUCTURES: TOWARDS A CLASSIFICATION (1993) (94)
Variational calculus with constraints on general algebroids (2007) (91)
Superposition rules, lie theorem, and partial differential equations (2006) (87)
Jacobi structures revisited (2001) (86)
Tangent and Cotangent Lifts and Graded Lie Algebras Associated with Lie Algebroids (1997) (75)
Nonholonomic Constraints: a New Viewpoint (2008) (74)
Isomorphisms and ideals of the Lie algebras of vector fields (1978) (60)
Lie Brackets on Affine Bundles (2002) (57)
Symmetries, Group Actions, and Entanglement (2006) (56)
Reduction of Time-Dependent Systems Admitting a Superposition Principle (2001) (55)
Graded contact manifolds and contact Courant algebroids (2011) (55)
On Filippov algebroids and multiplicative Nambu–Poisson structures (1999) (52)
Graded bundles and homogeneity structures (2011) (51)
AV-differential geometry: Poisson and Jacobi structures☆ (2004) (47)
Abstract Jacobi and Poisson structures. Quantization and star-products (1992) (46)
Generalized Reduction Procedure: Symplectic and Poisson Formalism (1993) (45)
Remarks on contact and Jacobi geometry (2015) (45)
REMARKS ON NAMBU-POISSON AND NAMBU-JACOBI BRACKETS (1999) (43)
POISSON STRUCTURES ON THE COTANGENT BUNDLE OF A LIE GROUP OR A PRINCIPLE BUNDLE AND THEIR REDUCTIONS (1993) (43)
Dirac algebroids in Lagrangian and Hamiltonian mechanics (2011) (42)
GEOMETRICAL MECHANICS ON ALGEBROIDS (2005) (42)
The Supergeometry of Loday Algebroids (2011) (40)
The Decidability of Persistence for Vector Addition Systems (1980) (40)
Courant algebroid and Lie bialgebroid contractions (2004) (36)
Linear duals of graded bundles and higher analogues of (Lie) algebroids (2014) (36)
Free subgroups of diffeomorphism groups (1988) (35)
The category of Z n 2-supermanifolds (2016) (35)
Automorphisms of quantum and classical Poisson algebras (2002) (35)
POISSON STRUCTURES ON DOUBLE LIE GROUPS (1998) (35)
Pontryagin Maximum Principle on Almost Lie Algebroids (2011) (34)
Entanglement for multipartite systems of indistinguishable particles (2010) (33)
An Obstruction to Quantizing Compact Symplectic Manifolds (1997) (32)
Homology and modular classes of Lie algebroids (2003) (32)
Quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells:the finite-type cases (2009) (31)
Splitting theorem for Z_2^n-supermanifolds (2016) (31)
Quasi-derivations and QD-algebroids (2003) (29)
Contractions: Nijenhuis and Saletan tensors for general algebraic structures (2001) (28)
Higher order mechanics on graded bundles (2014) (28)
Isomorphisms of algebras of smooth functions revisited (2003) (28)
Homomorphisms of the Lie algebras associated with a symplectic manifold (1990) (28)
The category of $\mathbb{Z}_2^n$-supermanifolds (2016) (27)
Superposition rules for higher order systems and their applications (2011) (26)
Dirac-Lie systems and Schwarzian equations (2013) (26)
Non-antisymmetric versions of Nambu-Poisson and algebroid brackets (2001) (25)
Graded quantum cluster algebras and an application to quantum Grassmannians (2013) (25)
Searching for extremal PPT entangled states (2009) (24)
Courant-Nijenhuis tensors and generalized geometries (2006) (24)
Cluster algebras of infinite rank (2012) (24)
Graded cluster algebras (2013) (23)
Binary operations in classical and quantum mechanics (2002) (22)
Graded bundles in the category of Lie groupoids (2015) (21)
Quasi-Lie schemes: theory and applications (2008) (21)
AV-differential geometry: Euler–Lagrange equations (2006) (20)
Some physical applications of systems of differential equations admitting a superposition rule (2001) (20)
CONSTRUCTION OF COMPLETELY INTEGRABLE SYSTEMS BY POISSON MAPPINGS (1999) (19)
Modular classes of skew algebroid relations (2011) (19)
The Lie structure of C* and Poisson algebras (1985) (19)
Derivative of the exponential mapping for infinite dimensional lie groups (1993) (18)
Lie families: theory and applications (2010) (17)
The Lie superalgebra of a supermanifold (2010) (16)
Lie algebras of vector fields and generalized foliations (1993) (16)
On the Relation between States and Maps in Infinite Dimensions (2007) (16)
Tulczyjew Triples: From Statics to Field Theory (2013) (16)
Derivations of the Lie algebras of analytic vector fields (1981) (15)
GEOMETRY OF LAGRANGIAN AND HAMILTONIAN FORMALISMS IN THE DYNAMICS OF STRINGS (2014) (15)
Pre-Courant algebroids (2016) (15)
On Quantizing Nilpotent and Solvable Basic Algebras (1999) (15)
Poisson–Jacobi reduction of homogeneous tensors (2004) (14)
Mixed superposition rules and the Riccati hierarchy (2012) (14)
Lie superalgebras of differential operators (2010) (14)
Splitting theorem for Z2-supermanifolds (2016) (13)
Derivations of the Lie algebras of differential operators (2003) (12)
Z_2^n-Supergeometry I: Manifolds and Morphisms (2014) (12)
Double affine bundles (2009) (12)
Solvability of a Lie algebra of vector fields implies their integrability by quadratures (2016) (12)
Geometric structures encoded in the lie structure of an Atiyah algebroid (2009) (12)
On quantum and classical Poisson algebras (2005) (11)
Polarisation of Graded Bundles (2015) (11)
Segre maps and entanglement for multipartite systems of indistinguishable particles (2011) (11)
Lie groupoids in information geometry (2019) (11)
Geometry of Lie integrability by quadratures (2014) (11)
Subgroups of Hilbert spaces (1992) (11)
Remarks on nilpotent Lie algebras of vector fields. (1990) (10)
Z-Graded Extensions of Poisson Brackets (1997) (10)
On characterization of Poisson and Jacobi structures (2002) (10)
ISOMORPHISMS OF POISSON AND JACOBI BRACKETS (2000) (10)
Topological type of weakly closed subgroups in Banach spaces (1996) (10)
GENERALIZED n-POISSON BRACKETS ON A SYMPLECTIC MANIFOLD (1998) (10)
Braided Enveloping Algebras Associated to Quantum Parabolic Subalgebras (2007) (10)
Closed subgroups in Banach spaces (1994) (10)
A pr 2 00 1 Non-antisymmetric versions of Nambu-Poisson and Lie algebroid brackets (2001) (9)
Lie algebraic characterization of manifolds (2003) (9)
Loday algebroids and their supergeometric interpretation (2011) (9)
A novel approach to contact Hamiltonians and contact Hamilton-Jacobi theory (2022) (9)
Poisson Lie groups and their relations to quantum groups (1995) (8)
Odd connections on supermanifolds: existence and relation with affine connections (2020) (8)
Examples of quantum cluster algebras associated to partial flag varieties (2009) (8)
New developments in geometric mechanics (2015) (8)
Modular classes revisited (2013) (8)
Introduction to graded bundles (2016) (8)
On Lie induction and the exceptional series (2004) (8)
An introduction to loopoids (2015) (7)
Wigner's theorem and the geometry of extreme positive maps (2009) (7)
Z_2^n-Supergeometry II: Batchelor-Gawedzki Theorem (2014) (7)
Derivation Algebras of Toric Varieties (1997) (7)
Graded Frobenius Cluster Categories (2016) (7)
Graded quantum cluster algebras of infinite rank as colimits (2015) (6)
The Unsolvability of Some Petri Net Language Problems (1979) (6)
Quotient groups of linear topological spaces (1990) (6)
Graded contact manifolds and principal Courant algebroids (2011) (6)
Homotopically non-trivial additive subgroups of Hilbert spaces (1999) (6)
Affine Jacobi structures on vector and affine bundles (2002) (6)
Frame-independent mechanics:geometry on affine bundles (2005) (6)
Representations up to Homotopy from Weighted Lie Algebroids (2017) (6)
The category of Z_2^n-supermanifolds (2016) (6)
A triple construction for Lie bialgebras (2003) (5)
Contact geometric mechanics: the Tulczyjew triples (2022) (5)
Riemannian Structures on Z 2 n -Manifolds (2020) (5)
The Schrödinger operator as a generalized Laplacian (2007) (5)
Superisation of graded manifolds (2015) (5)
Pontryagin Maximum Principle - a generalization (2009) (5)
Geometry of quantum dynamics in infinite-dimensional Hilbert space (2017) (5)
The Lie algebra of a Lie algebroid (2002) (5)
Remarks on Virasoro and Kac-Moody algebras. (1996) (5)
On Hack's Conjecture Concerning Reachability in Petri Nets (1979) (4)
Solvable Lie Algebras of Vector Fields and a Lie's Conjecture (2019) (4)
VB-structures and generalizations (2021) (4)
Braided-Lie bialgebras associated to Kac-Moody algebras (2007) (4)
Information geometry on groupoids: the case of singular metrics (2020) (4)
Quasi-Lie schemes for PDEs (2017) (4)
Duality for graded manifolds (2016) (4)
A poisson—lie structure on the diffeomorphism group of a circle (1994) (3)
A geometric approach to contact Hamiltonians and contact Hamilton–Jacobi theory (2022) (3)
Riemannian Structures on Z n 2 -Manifolds (2020) (3)
On the concept of a filtered bundle (2017) (3)
Connected subgroups of nuclear spaces (1984) (3)
Lie algebras connected with associative ones (1985) (3)
Linear Methods in the Theory of Vector Addition Systems I (1980) (3)
On the Analysis of Switching Circuits by Means of Petri Nets (1978) (3)
Inductive constructions for Lie bialgebras and Hopf algebras (2006) (3)
General poisson algebras (1989) (2)
Jacobi Structures on Affine Bundles (2002) (2)
n-Tuple principal bundles (2018) (2)
Remarks on generalized Lie algebroids and related concepts (2017) (2)
Isomorphisms of the Jacobi and Poisson Brackets (1993) (2)
N ov 2 00 2 The graded Jacobi algebras and ( co ) homology (2008) (2)
Deformational quantization of poisson structures (1995) (2)
Nonassociative analogs of Lie groupoids (2021) (2)
Metaprograms for Change Assumptions, Objects, and Inheritance (1992) (2)
A quantum analogue of the dihedral action on Grassmannians (2011) (2)
Inductive Inference of Functions from Noised Observations (1986) (2)
Local Lie Algebra Determines Base Manifold (2005) (2)
Convex bodies of states and maps (2013) (2)
Enterprise service bus architecture for the big data systems (2014) (2)
Deformed Tulczyjew triples and Legendre transform (1996) (2)
Revisiting Lie integrability by quadratures from a geometric perspective (2017) (1)
Cluster algebras and their quantum analogues (2014) (1)
Integration on colored supermanifolds (2016) (1)
Automorphism groupoids in noncommutative projective geometry (2018) (1)
Symplectic $ {\mathbb Z}_2^n $-manifolds (2021) (1)
Unificational Dynamic Logic (1986) (1)
On the inductive construction of quantized enveloping algebras (2007) (1)
An Algorithm to Identify Slices, with Applications to Vector Replacement Systems (1981) (1)
Tulczyjew triples in the constrained dynamics of strings (2015) (1)
Discrete mechanics on unitary octonions (2020) (1)
The Schroedinger operator in Newtonian space-time (2006) (1)
Lifting statistical structures (2022) (1)
Universal enveloping algebras and quantization (1993) (1)
Polynomial algebras on coadjoint orbits of semisimple Lie groups (2000) (1)
Miscellaneous results on vector addition systems (1979) (1)
Proceedings of the International Workshop on Algebraic and Logic Programming (1988) (0)
Classical and quantum integrability : dedicated to W łodzimierz Tulczyjew (2003) (0)
A pr 2 00 4 Poisson-Jacobi reduction of homogeneous tensors ∗ (2008) (0)
Lifting statistical manifolds (2022) (0)
O ct 2 00 5 On quantum and classical Poisson algebras (2008) (0)
2 J an 2 00 7 TANGENT LIFTS OF POISSON AND RELATED STRUCTURES (1995) (0)
Transitive Lie algebras of nilpotent vector fields and their Tanaka prolongations (2020) (0)
Commentationes Mathematicae Universitatis Carolinae (2012) (0)
Ja n 20 03 Quasi-derivations and quasi-algebroids (2003) (0)
Homogeneity bundles (2011) (0)
0 50 90 63 v 1 2 7 Se p 20 05 Geometrical Mechanics on algebroids ∗ (2008) (0)
Regular contact manifolds (2023) (0)
Modular classes of skew algebroid relations (2012) (0)
C A ] 1 J un 2 01 0 Lie families : theory and applications (2018) (0)
0 61 10 44 v 1 1 8 N ov 2 00 6 The Schrödinger operator in Newtonian space-time ∗ (2018) (0)
2 3 O ct 2 00 2 On characterization of Poisson and Jacobi structures ∗ (0)
Remarks on superdifferential equations (2018) (0)
Graded cluster algebras (2015) (0)
Algebraic and logic programming : proceedings of an International Workshop held in Gaussig (GDR), November 14-18, 1988 (1988) (0)
Q A ] 2 1 Ja n 20 05 A triple construction for Lie bialgebras (2005) (0)
A ] 1 1 N ov 2 00 2 Automorphisms of quantum and classical Poisson algebras ∗ (0)
J an 1 99 8 POISSON STRUCTURES ON DOUBLE LIE GROUPS (1998) (0)
O ct 2 01 8 Remarks on superdifferential equations (2018) (0)
0 Ju n 19 99 Completely integrable systems : a generalization (1999) (0)
Homology and Modular Classes of Lie AlgebroidsJanusz GrabowskiGiuseppe (2009) (0)
Ja n 20 06 Courant-Nijenhuis tensors and generalized geometries (2006) (0)
Q A ] 2 0 Se p 20 04 On Lie induction and the exceptional series (2004) (0)
Homology and Modular Classes of Lie AlgebroidsJanusz GrabowskiGiuseppe (2009) (0)
Examples of quantum cluster algebras related to partial flag varieties (2009) (0)
VB-structures and generalizations (2022) (0)
2 9 Se p 19 99 Algebroids – general differential calculi on vector bundles (1999) (0)
Institute of Mathematics, Polish Academy of Sciences Weighted Convolution Algebras on Subsemigroups of the Real Line (2009) (0)
7 F eb 2 02 0 Slices of groupoids are group-like (2020) (0)
Slices of groupoids are group-like (2020) (0)
Braided enveloping algebras associated to quantum parabolic (2008) (0)
The Erwin Schrr Odinger International Institute for Mathematical Physics Tangent Lifts of Poisson and Related Structures (1995) (0)
Graded differential geometry and the representation theory of Lie algebroids (2017) (0)
Unpredictable Sets (1976) (0)
Frame-independent mechanics : geometry on affine bundles 1 (2005) (0)
POISSON STRUCTURES ON DOUBLE LIE GROUPSD (1997) (0)
D G ] 5 M ar 2 00 5 Jacobi structures on affine bundles (2005) (0)
A pr 2 00 6 AV-differential geometry : Euler-Lagrange equations ∗ (2006) (0)
2 8 Ju n 20 05 Local Lie algebra determines base manifold ∗ (2005) (0)
Q A ] 1 0 M ay 2 00 5 On Lie induction and the exceptional series (2004) (0)
Generalized Schmidt rank and entanglement for composite systems of indistinguishable particles (2014) (0)
1 0 Se p 20 02 The graded Jacobi algebras and ( co ) homology (2003) (0)
Transitive nilpotent Lie algebras of vector fields and their Tanaka prolongations (2020) (0)
0 O ct 2 00 3 Isomorphisms of algebras of smooth functions revisited (0)
A Poisson-Lie group Structure on the Diffeomorphism Group of a Circle (1993) (0)
0 50 90 63 v 2 3 M ay 2 00 6 Geometrical Mechanics on algebroids ∗ (2008) (0)
Reductions: precontact versus presymplectic (2022) (0)
Quasi-derivations and quasi-algebroids (2003) (0)
Algebraic and Logic Programming: International Workshop, Gaussig, GDR, November 14-18, 1988. Proceedings (1989) (0)
A Poisson-Lie group Structure on the Diffeomorphism Group of a Circle (1993) (0)
O ct 2 01 6 Duality for graded manifolds ∗ (0)
Poisson geometry : Stanisław Zakrzewski in memoriam (2000) (0)
ul 2 00 2 The graded Jacobi algebras and ( co ) homology (2008) (0)
Fe b 20 04 Poisson-Jacobi reduction of homogeneous tensors ∗ (2008) (0)
Odd Connections on Supermanifolds (2020) (0)
0 N ov 2 01 4 Z n 2-Supergeometry II Batchelor-Gawedzki Theorem (2018) (0)
2 7 N ov 2 00 4 Isomorphisms of algebras of smooth functions revisited (2005) (0)
Lie algebaic characterization of supercommutative space (2009) (0)
9 90 20 12 v 2 1 4 M ar 1 99 9 On quantizing nilpotent and solvable basic algebras (1999) (0)
2 00 3 Quasi-derivations and QD-algebroids (2003) (0)
R A ] 3 1 Ju l 2 01 8 Automorphism groupoids in noncommutative projective geometry (2018) (0)

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Published Works

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What Schools Are Affiliated With Janusz Grabowski?

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