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Grabowski, Janusz

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Author ID: grabowski.janusz Recent zbMATH articles by "Grabowski, Janusz"
Published as: Grabowski, J.; Grabowski, Jannusz; Grabowski, Janusz
External Links: MGP · Wikidata · ORCID · GND
Documents Indexed: 130 Publications since 1978, including 4 Books
Reviewing Activity: 86 Reviews
Biographic References: 1 Publication
all top 5

Serials

13 Journal of Geometry and Physics
13 Journal of Physics A: Mathematical and Theoretical
9 Journal of Physics A: Mathematical and General
6 Reports on Mathematical Physics
4 Journal of Mathematical Physics
4 Studia Mathematica
4 Compositio Mathematica
4 International Journal of Geometric Methods in Modern Physics
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Annals of Global Analysis and Geometry
3 Journal of Lie Theory
3 Banach Center Publications
3 Journal of Geometric Mechanics
2 Modern Physics Letters A
2 International Journal of Modern Physics A
2 Journal of Differential Equations
2 Proceedings of the American Mathematical Society
2 Transformation Groups
2 Open Systems & Information Dynamics
2 Central European Journal of Mathematics
2 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Letters in Mathematical Physics
1 Reviews in Mathematical Physics
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Commentationes Mathematicae Universitatis Carolinae
1 Fundamenta Mathematicae
1 Inventiones Mathematicae
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 SIAM Journal on Control and Optimization
1 Rendiconti del Seminario Matematico
1 Note di Matematica
1 Acta Applicandae Mathematicae
1 Publicacions Matemàtiques
1 Differential Geometry and its Applications
1 Indagationes Mathematicae. New Series
1 Acta Mathematica Sinica. English Series
1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 1,010 times in 514 Documents Cited by Year
Higher vector bundles and multi-graded symplectic manifolds. Zbl 1171.58300
Grabowski, Janusz; Rotkiewicz, Mikołaj
51
2009
Lie algebroids and Poisson-Nijenhuis structures. Zbl 1005.53061
Grabowski, Janusz; Urbański, Paweł
41
1997
Tangent lifts of Poisson and related structures. Zbl 0872.58028
Grabowski, J.; Urbański, P.
35
1995
Lie-Scheffers systems: a geometric approach. Zbl 1221.34025
Cariñena, J. F.; Grabowski, J.; Marmo, G.
34
2000
Variational calculus with constraints on general algebroids. Zbl 1137.70011
Grabowska, Katarzyna; Grabowski, Janusz
31
2008
Poisson structures: Towards a classification. Zbl 1020.37529
Grabowski, J.; Marmo, G.; Perelomov, A. M.
31
1993
Geometry of quantum systems: density states and entanglement. Zbl 1085.81017
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe
30
2005
Algebroids – general differential calculi on vector bundles. Zbl 0954.17014
Grabowski, J.; Urbański, P.
30
1999
Jacobi structure revisited. Zbl 0998.53054
Grabowski, Janusz; Marmo, Giuseppe
27
2001
Nonholonomic constraints: a new viewpoint. Zbl 1200.37057
Grabowski, Janusz; de León, Manuel; Marrero, J. C.; Martín de Diego, D.
25
2009
Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids. Zbl 0973.58006
Grabowski, J.; Urbański, P.
24
1997
Superposition rules, Lie theorem, and partial differential equations. Zbl 1153.34004
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
23
2007
The graded Jacobi algebras and (co)homology. Zbl 1039.53090
Grabowski, Janusz; Marmo, Giuseppe
23
2003
Quantum bi-Hamiltonian systems. Zbl 1002.81026
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
21
2000
Lie brackets on affine bundles. Zbl 1044.53056
Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł
20
2003
Isomorphisms and ideals of the Lie algebras of vector fields. Zbl 0378.57010
Grabowski, Janusz
20
1978
Graded bundles and homogeneity structures. Zbl 1244.53034
Grabowski, Janusz; Rotkiewicz, Mikołaj
19
2012
On Filippov algebroids and multiplicative Nambu-Poisson structures. Zbl 1026.17006
Grabowski, J.; Marmo, G.
19
2000
Higher order mechanics on graded bundles. Zbl 1392.53087
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
16
2015
The supergeometry of Loday algebroids. Zbl 1294.53072
Grabowski, Janusz; Khudaverdyan, David; Poncin, Norbert
15
2013
Abstract Jacobi and Poisson structures. Quantization and star-products. Zbl 0761.16012
Grabowski, J.
15
1992
Free subgroups of diffeomorphism groups. Zbl 0666.58011
Grabowski, Janusz
15
1988
Graded contact manifolds and contact Courant algebroids. Zbl 1280.53070
Grabowski, Janusz
14
2013
Pontryagin maximum principle on almost Lie algebroids. Zbl 1228.49017
Grabowski, Janusz; Jóźwikowski, Michał
14
2011
Symmetries, group actions, and entanglement. Zbl 1110.81044
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe
14
2006
AV-differential geometry: Poisson and Jacobi structures. Zbl 1093.53086
Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł
14
2004
Courant algebroid and Lie bialgebroid contractions. Zbl 1058.53022
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
14
2004
Reduction of time-dependent systems admitting a superposition principle. Zbl 0990.34011
Cariñena, José F.; Grabowski, Janusz; Ramos, Arturo
14
2001
Linear duals of graded bundles and higher analogues of (Lie) algebroids. Zbl 1334.58002
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
13
2016
Dirac algebroids in Lagrangian and Hamiltonian mechanics. Zbl 1223.37064
Grabowska, Katarzyna; Grabowski, Janusz
13
2011
Homology and modular classes of Lie algebroids. Zbl 1141.17018
Grabowski, Janusz; Marmo, Giuseppe; Michor, Peter W.
13
2006
Superposition rules for higher order systems and their applications. Zbl 1248.34008
Cariñena, J. F.; Grabowski, J.; de Lucas, J.
12
2012
Contractions: Nijenhuis and Saletan tensors for general algebraic structures. Zbl 1009.17003
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
12
2001
Splitting theorem for \(\mathbb{Z}_2^n\)-supermanifolds. Zbl 1404.58011
Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert
11
2016
The category of \(\mathbb{Z}_2^n\)-supermanifolds. Zbl 1345.58003
Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert
11
2016
Remarks on Nambu-Poisson and Nambu-Jacobi brackets. Zbl 0949.37034
Grabowski, J.; Marmo, G.
11
1999
Graded bundles in the category of Lie groupoids. Zbl 1331.22006
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
10
2015
Courant-Nijenhuis tensors and generalized geometries. Zbl 1137.53021
Grabowski, Janusz
10
2006
Automorphisms of quantum and classical Poisson algebras. Zbl 1044.17013
Grabowski, J.; Poncin, N.
10
2004
Dirac-Lie systems and Schwarzian equations. Zbl 1302.34011
Cariñena, J. F.; Grabowski, J.; de Lucas, J.; Sardón, C.
9
2014
Mixed superposition rules and the Riccati hierarchy. Zbl 1267.34016
Grabowski, Janusz; de Lucas, Javier
8
2013
Modular classes of skew algebroid relations. Zbl 1287.53072
Grabowski, Janusz
8
2012
Quasi-Lie schemes: theory and applications. Zbl 1193.34011
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
8
2009
Isomorphisms of algebras of smooth functions revisited. Zbl 1082.46020
Grabowski, J.
8
2005
Quasi-derivations and QD-algebroids. Zbl 1051.53067
Grabowski, Janusz
8
2003
Remarks on contact and Jacobi geometry. Zbl 1369.53057
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
7
2017
Entanglement for multipartite systems of indistinguishable particles. Zbl 1214.81039
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe
7
2011
Poisson structures on double Lie groups. Zbl 1020.17016
Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W.
7
1998
Polarisation of graded bundles. Zbl 1359.58003
Bruce, Andrew James; Grabowski, Janusz; Rotkiewicz, Mikołaj
6
2016
Some physical applications of systems of differential equations admitting a superposition rule. Zbl 1020.34009
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
6
2001
Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions. Zbl 0822.58016
Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W.
6
1994
Double affine bundles. Zbl 1188.53023
Grabowski, Janusz; Urbański, Paweł; Rotkiewicz, Mikołaj
5
2010
Poisson-Jacobi reduction of homogeneous tensors. Zbl 1073.53110
Grabowski, J.; Iglesias, D.; Marrero, J. C.; Padrón, E.; Urbanski, P.
5
2004
Non-antisymmetric versions of Nambu-Poisson and algebroid brackets. Zbl 1021.53059
Grabowski, Janusz; Marmo, Giuseppe
5
2001
Derivative of the exponential mapping for infinite dimensional Lie groups. Zbl 0836.22028
Grabowski, Janusz
5
1993
Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings. Zbl 1304.70029
Grabowski, Janusz; Grabowska, Katarzyna; Urbański, Paweł
4
2014
Lie superalgebras of differential operators. Zbl 1264.58004
Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert
4
2013
Geometric structures encoded in the Lie structure of an Atiyah algebroid. Zbl 1288.58010
Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert
4
2011
The Lie superalgebra of a supermanifold. Zbl 1207.58005
Grabowski, Jannusz; Kotov, Alexei; Poncin, Norbert
4
2010
Lie families: theory and applications. Zbl 1236.34012
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
4
2010
On the relation between states and maps in infinite dimensions. Zbl 1137.81005
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe
4
2007
AV-differential geometry: Euler-Lagrange equations. Zbl 1132.70008
Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł
4
2007
Derivation algebras of toric varieties. Zbl 1053.14518
Campillo, Antonio; Grabowski, Janusz; Müller, Gerd
4
1999
Completely integrable systems—a generalization. Zbl 1020.37538
Alekseevsky, D. V.; Grabowski, J.; Marmo, G.; Michor, P. W.
4
1997
Homomorphisms of the Lie algebras associated with a symplectic manifold. Zbl 0718.53025
Atkin, C. J.; Grabowski, J.
4
1990
The Lie structure of \(C^*\) and Poisson algebras. Zbl 0536.46043
Grabowski, Janusz
4
1985
Solvability of a Lie algebra of vector fields implies their integrability by quadratures. Zbl 1351.37224
Cariñena, J. F.; Falceto, F.; Grabowski, J.
3
2016
Modular classes revisited. Zbl 1343.53082
Grabowski, Janusz
3
2014
Binary operations in classical and quantum mechanics. Zbl 1068.17009
Grabowski, Janusz; Marmo, Giuseppe
3
2003
On quantizing nilpotent and solvable basic algebras. Zbl 0983.53063
Gotay, Mark J.; Grabowski, Janusz
3
2001
Isomorphisms of Poisson and Jacobi brackets. Zbl 1017.53071
Grabowski, Janusz
3
2000
An obstruction to quantizing compact symplectic manifolds. Zbl 1097.53502
Gotay, Mark J.; Grabowski, Janusz; Grundling, Hendrik B.
3
2000
Remarks on Virasoro and Kac-Moody algebras. Zbl 1044.17506
Grabowski, J.; Marmo, G.; Perelomov, A.; Simoni, A.
3
1996
Topological type of weakly closed subgroups in Banach spaces. Zbl 0856.46012
Dobrowolski, Tadeusz; Grabowski, Janusz; Kawamura, Kazuhiro
3
1996
Poisson Lie groups and their relations to quantum groups. Zbl 0864.17034
Grabowski, Janusz
3
1995
Closed subgroups in Banach spaces. Zbl 0840.46012
Ancel, Fredric D.; Dobrowolski, Tadeusz; Grabowski, Janusz
3
1994
Lie algebras of vector fields and generalized foliations. Zbl 0841.53027
Grabowski, Janusz
3
1993
Quotient groups of linear topological spaces. Zbl 0727.22005
Grabowski, Janusz; Wojtyński, Wojciech
3
1990
Remarks on nilpotent Lie algebras of vector fields. Zbl 0687.57009
Grabowski, Janusz
3
1990
Pre-Courant algebroids. Zbl 07068186
Bruce, Andrew James; Grabowski, Janusz
2
2019
Geometry of quantum dynamics in infinite-dimensional Hilbert space. Zbl 1390.81149
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe; Shulman, Tatiana
2
2018
On the concept of a filtered bundle. Zbl 1390.58002
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
2
2018
Introduction to graded bundles. Zbl 1395.55017
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
2
2017
Duality for graded manifolds. Zbl 1384.58006
Grabowski, Janusz; Jóźwikowski, Michał; Rotkiewicz, Mikołaj
2
2017
Geometry of Lie integrability by quadratures. Zbl 1328.34010
Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F.
2
2015
Tulczyjew triples: from statics to field theory. Zbl 1357.70016
Grabowska, Katarzyna; Grabowski, Janusz
2
2013
Segre maps and entanglement for multipartite systems of indistinguishable particles. Zbl 1243.81037
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe
2
2012
Derivations of the Lie algebras of differential operators. Zbl 1154.17305
Grabowski, Janusz; Poncin, N.
2
2005
Lie algebraic characterization of manifolds. Zbl 1138.53313
Grabowski, Janusz; Poncin, Norbert
2
2004
On characterization of Poisson and Jacobi structures. Zbl 1028.17015
Grabowski, Janusz; Urbański, Paweł
2
2003
The Lie algebra of a Lie algebroid. Zbl 1003.17011
Grabowski, Janusz; Grabowska, Katarzyna
2
2001
Homotopically non-trivial additive subgroups of Hilbert spaces. Zbl 0916.46010
Grabowski, Janusz
2
1999
\(\mathbb{Z}\)-graded extensions of Poisson brackets. Zbl 0872.58029
Grabowski, Janusz
2
1997
Quantum \(\text{SU}(2)\) group of Woronowicz and Poisson structures. Zbl 0785.17015
Grabowski, Janusz
2
1990
Quasi-Lie schemes for PDEs. Zbl 1423.35012
Cariñena, J. F.; Grabowski, J.; De Lucas, J.
1
2019
Representations up to homotopy from weighted Lie algebroids. Zbl 1437.16042
Bruce, Andrew James; Grabowski, Janusz; Vitagliano, Luca
1
2018
An introduction to loopoids. Zbl 1413.20037
Grabowski, Janusz
1
2016
Wigner’s theorem and the geometry of extreme positive maps. Zbl 1180.81010
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe
1
2009
On quantum and classical Poisson algebras. Zbl 1209.17018
Grabowski, Janusz; Poncin, Norbert
1
2007
Frame-independent mechanics: geometry on affine bundles. Zbl 1097.37045
Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł
1
2005
Pre-Courant algebroids. Zbl 07068186
Bruce, Andrew James; Grabowski, Janusz
2
2019
Quasi-Lie schemes for PDEs. Zbl 1423.35012
Cariñena, J. F.; Grabowski, J.; De Lucas, J.
1
2019
Geometry of quantum dynamics in infinite-dimensional Hilbert space. Zbl 1390.81149
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe; Shulman, Tatiana
2
2018
On the concept of a filtered bundle. Zbl 1390.58002
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
2
2018
Representations up to homotopy from weighted Lie algebroids. Zbl 1437.16042
Bruce, Andrew James; Grabowski, Janusz; Vitagliano, Luca
1
2018
Remarks on contact and Jacobi geometry. Zbl 1369.53057
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
7
2017
Introduction to graded bundles. Zbl 1395.55017
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
2
2017
Duality for graded manifolds. Zbl 1384.58006
Grabowski, Janusz; Jóźwikowski, Michał; Rotkiewicz, Mikołaj
2
2017
Linear duals of graded bundles and higher analogues of (Lie) algebroids. Zbl 1334.58002
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
13
2016
Splitting theorem for \(\mathbb{Z}_2^n\)-supermanifolds. Zbl 1404.58011
Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert
11
2016
The category of \(\mathbb{Z}_2^n\)-supermanifolds. Zbl 1345.58003
Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert
11
2016
Polarisation of graded bundles. Zbl 1359.58003
Bruce, Andrew James; Grabowski, Janusz; Rotkiewicz, Mikołaj
6
2016
Solvability of a Lie algebra of vector fields implies their integrability by quadratures. Zbl 1351.37224
Cariñena, J. F.; Falceto, F.; Grabowski, J.
3
2016
An introduction to loopoids. Zbl 1413.20037
Grabowski, Janusz
1
2016
Higher order mechanics on graded bundles. Zbl 1392.53087
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
16
2015
Graded bundles in the category of Lie groupoids. Zbl 1331.22006
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
10
2015
Geometry of Lie integrability by quadratures. Zbl 1328.34010
Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F.
2
2015
Dirac-Lie systems and Schwarzian equations. Zbl 1302.34011
Cariñena, J. F.; Grabowski, J.; de Lucas, J.; Sardón, C.
9
2014
Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings. Zbl 1304.70029
Grabowski, Janusz; Grabowska, Katarzyna; Urbański, Paweł
4
2014
Modular classes revisited. Zbl 1343.53082
Grabowski, Janusz
3
2014
The supergeometry of Loday algebroids. Zbl 1294.53072
Grabowski, Janusz; Khudaverdyan, David; Poncin, Norbert
15
2013
Graded contact manifolds and contact Courant algebroids. Zbl 1280.53070
Grabowski, Janusz
14
2013
Mixed superposition rules and the Riccati hierarchy. Zbl 1267.34016
Grabowski, Janusz; de Lucas, Javier
8
2013
Lie superalgebras of differential operators. Zbl 1264.58004
Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert
4
2013
Tulczyjew triples: from statics to field theory. Zbl 1357.70016
Grabowska, Katarzyna; Grabowski, Janusz
2
2013
Graded bundles and homogeneity structures. Zbl 1244.53034
Grabowski, Janusz; Rotkiewicz, Mikołaj
19
2012
Superposition rules for higher order systems and their applications. Zbl 1248.34008
Cariñena, J. F.; Grabowski, J.; de Lucas, J.
12
2012
Modular classes of skew algebroid relations. Zbl 1287.53072
Grabowski, Janusz
8
2012
Segre maps and entanglement for multipartite systems of indistinguishable particles. Zbl 1243.81037
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe
2
2012
Pontryagin maximum principle on almost Lie algebroids. Zbl 1228.49017
Grabowski, Janusz; Jóźwikowski, Michał
14
2011
Dirac algebroids in Lagrangian and Hamiltonian mechanics. Zbl 1223.37064
Grabowska, Katarzyna; Grabowski, Janusz
13
2011
Entanglement for multipartite systems of indistinguishable particles. Zbl 1214.81039
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe
7
2011
Geometric structures encoded in the Lie structure of an Atiyah algebroid. Zbl 1288.58010
Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert
4
2011
Double affine bundles. Zbl 1188.53023
Grabowski, Janusz; Urbański, Paweł; Rotkiewicz, Mikołaj
5
2010
The Lie superalgebra of a supermanifold. Zbl 1207.58005
Grabowski, Jannusz; Kotov, Alexei; Poncin, Norbert
4
2010
Lie families: theory and applications. Zbl 1236.34012
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
4
2010
Higher vector bundles and multi-graded symplectic manifolds. Zbl 1171.58300
Grabowski, Janusz; Rotkiewicz, Mikołaj
51
2009
Nonholonomic constraints: a new viewpoint. Zbl 1200.37057
Grabowski, Janusz; de León, Manuel; Marrero, J. C.; Martín de Diego, D.
25
2009
Quasi-Lie schemes: theory and applications. Zbl 1193.34011
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
8
2009
Wigner’s theorem and the geometry of extreme positive maps. Zbl 1180.81010
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe
1
2009
Variational calculus with constraints on general algebroids. Zbl 1137.70011
Grabowska, Katarzyna; Grabowski, Janusz
31
2008
Superposition rules, Lie theorem, and partial differential equations. Zbl 1153.34004
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
23
2007
On the relation between states and maps in infinite dimensions. Zbl 1137.81005
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe
4
2007
AV-differential geometry: Euler-Lagrange equations. Zbl 1132.70008
Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł
4
2007
On quantum and classical Poisson algebras. Zbl 1209.17018
Grabowski, Janusz; Poncin, Norbert
1
2007
Symmetries, group actions, and entanglement. Zbl 1110.81044
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe
14
2006
Homology and modular classes of Lie algebroids. Zbl 1141.17018
Grabowski, Janusz; Marmo, Giuseppe; Michor, Peter W.
13
2006
Courant-Nijenhuis tensors and generalized geometries. Zbl 1137.53021
Grabowski, Janusz
10
2006
Geometry of quantum systems: density states and entanglement. Zbl 1085.81017
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe
30
2005
Isomorphisms of algebras of smooth functions revisited. Zbl 1082.46020
Grabowski, J.
8
2005
Derivations of the Lie algebras of differential operators. Zbl 1154.17305
Grabowski, Janusz; Poncin, N.
2
2005
Frame-independent mechanics: geometry on affine bundles. Zbl 1097.37045
Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł
1
2005
AV-differential geometry: Poisson and Jacobi structures. Zbl 1093.53086
Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł
14
2004
Courant algebroid and Lie bialgebroid contractions. Zbl 1058.53022
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
14
2004
Automorphisms of quantum and classical Poisson algebras. Zbl 1044.17013
Grabowski, J.; Poncin, N.
10
2004
Poisson-Jacobi reduction of homogeneous tensors. Zbl 1073.53110
Grabowski, J.; Iglesias, D.; Marrero, J. C.; Padrón, E.; Urbanski, P.
5
2004
Lie algebraic characterization of manifolds. Zbl 1138.53313
Grabowski, Janusz; Poncin, Norbert
2
2004
The graded Jacobi algebras and (co)homology. Zbl 1039.53090
Grabowski, Janusz; Marmo, Giuseppe
23
2003
Lie brackets on affine bundles. Zbl 1044.53056
Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł
20
2003
Quasi-derivations and QD-algebroids. Zbl 1051.53067
Grabowski, Janusz
8
2003
Binary operations in classical and quantum mechanics. Zbl 1068.17009
Grabowski, Janusz; Marmo, Giuseppe
3
2003
On characterization of Poisson and Jacobi structures. Zbl 1028.17015
Grabowski, Janusz; Urbański, Paweł
2
2003
Jacobi structure revisited. Zbl 0998.53054
Grabowski, Janusz; Marmo, Giuseppe
27
2001
Reduction of time-dependent systems admitting a superposition principle. Zbl 0990.34011
Cariñena, José F.; Grabowski, Janusz; Ramos, Arturo
14
2001
Contractions: Nijenhuis and Saletan tensors for general algebraic structures. Zbl 1009.17003
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
12
2001
Some physical applications of systems of differential equations admitting a superposition rule. Zbl 1020.34009
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
6
2001
Non-antisymmetric versions of Nambu-Poisson and algebroid brackets. Zbl 1021.53059
Grabowski, Janusz; Marmo, Giuseppe
5
2001
On quantizing nilpotent and solvable basic algebras. Zbl 0983.53063
Gotay, Mark J.; Grabowski, Janusz
3
2001
The Lie algebra of a Lie algebroid. Zbl 1003.17011
Grabowski, Janusz; Grabowska, Katarzyna
2
2001
Lie-Scheffers systems: a geometric approach. Zbl 1221.34025
Cariñena, J. F.; Grabowski, J.; Marmo, G.
34
2000
Quantum bi-Hamiltonian systems. Zbl 1002.81026
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
21
2000
On Filippov algebroids and multiplicative Nambu-Poisson structures. Zbl 1026.17006
Grabowski, J.; Marmo, G.
19
2000
Isomorphisms of Poisson and Jacobi brackets. Zbl 1017.53071
Grabowski, Janusz
3
2000
An obstruction to quantizing compact symplectic manifolds. Zbl 1097.53502
Gotay, Mark J.; Grabowski, Janusz; Grundling, Hendrik B.
3
2000
Algebroids – general differential calculi on vector bundles. Zbl 0954.17014
Grabowski, J.; Urbański, P.
30
1999
Remarks on Nambu-Poisson and Nambu-Jacobi brackets. Zbl 0949.37034
Grabowski, J.; Marmo, G.
11
1999
Derivation algebras of toric varieties. Zbl 1053.14518
Campillo, Antonio; Grabowski, Janusz; Müller, Gerd
4
1999
Homotopically non-trivial additive subgroups of Hilbert spaces. Zbl 0916.46010
Grabowski, Janusz
2
1999
Poisson structures on double Lie groups. Zbl 1020.17016
Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W.
7
1998
Lie algebroids and Poisson-Nijenhuis structures. Zbl 1005.53061
Grabowski, Janusz; Urbański, Paweł
41
1997
Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids. Zbl 0973.58006
Grabowski, J.; Urbański, P.
24
1997
Completely integrable systems—a generalization. Zbl 1020.37538
Alekseevsky, D. V.; Grabowski, J.; Marmo, G.; Michor, P. W.
4
1997
\(\mathbb{Z}\)-graded extensions of Poisson brackets. Zbl 0872.58029
Grabowski, Janusz
2
1997
Remarks on Virasoro and Kac-Moody algebras. Zbl 1044.17506
Grabowski, J.; Marmo, G.; Perelomov, A.; Simoni, A.
3
1996
Topological type of weakly closed subgroups in Banach spaces. Zbl 0856.46012
Dobrowolski, Tadeusz; Grabowski, Janusz; Kawamura, Kazuhiro
3
1996
Deformed Tulczyjew triples and Legendre transform. Zbl 0919.58004
Grabowski, J.; Marmo, G.
1
1996
Tangent lifts of Poisson and related structures. Zbl 0872.58028
Grabowski, J.; Urbański, P.
35
1995
Poisson Lie groups and their relations to quantum groups. Zbl 0864.17034
Grabowski, Janusz
3
1995
Deformational quantization of Poisson structures. Zbl 0905.17025
Grabowski, Janusz
1
1995
Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions. Zbl 0822.58016
Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W.
6
1994
Closed subgroups in Banach spaces. Zbl 0840.46012
Ancel, Fredric D.; Dobrowolski, Tadeusz; Grabowski, Janusz
3
1994
Hochschild cohomology and quantization of Poisson structures. Zbl 0836.58016
Grabowski, Janusz
1
1994
A Poisson-Lie structure on the diffeomorphism group of a circle. Zbl 0866.17018
Grabowski, Janusz
1
1994
Poisson structures: Towards a classification. Zbl 1020.37529
Grabowski, J.; Marmo, G.; Perelomov, A. M.
31
1993
Derivative of the exponential mapping for infinite dimensional Lie groups. Zbl 0836.22028
Grabowski, Janusz
5
1993
Lie algebras of vector fields and generalized foliations. Zbl 0841.53027
Grabowski, Janusz
3
1993
Abstract Jacobi and Poisson structures. Quantization and star-products. Zbl 0761.16012
Grabowski, J.
15
1992
Subgroups of Hilbert spaces. Zbl 0762.46015
Dobrowolski, Tadeusz; Grabowski, Janusz
1
1992
Homomorphisms of the Lie algebras associated with a symplectic manifold. Zbl 0718.53025
Atkin, C. J.; Grabowski, J.
4
1990
Quotient groups of linear topological spaces. Zbl 0727.22005
Grabowski, Janusz; Wojtyński, Wojciech
3
1990
...and 8 more Documents
all top 5

Cited by 564 Authors

47 Grabowski, Janusz
35 Marmo, Giuseppe
23 Cariñena, José F.
21 de Lucas, Javier
18 Bruce, Andrew James
16 Grabowska, Katarzyna
14 Poncin, Norbert
14 Sheng, Yunhe
13 Marrero, Juan Carlos
10 Urbański, Paweł
9 Martín de Diego, David
9 Nunes da Costa, Joana Margarida M.
9 Rotkiewicz, Mikołaj
9 Sardón, Cristina
8 de León Rodríguez, Manuel
8 Vitagliano, Luca
7 Clemente-Gallardo, Jesús
7 Jóźwikowski, Michał
7 Michor, Peter Wolfram
6 Bursztyn, Henrique
6 Das, Apurba
6 Guha, Partha
5 Antunes, Paulo
5 Caseiro, Raquel
5 Ciaglia, Florio Maria
5 Esen, Oğul
5 Gaeta, Giuseppe
5 Herranz, Francisco José
5 Ibort, Alberto
5 Iglesias, David
5 Kosmann-Schwarzbach, Yvette
5 Kriegl, Andreas
5 Kuś, Marek
5 Laurent-Gengoux, Camille
5 Liu, Zhangju
5 Martínez Fernández, Eduardo
5 Wade, Aïssa
4 Ballesteros, Angel
4 Cabrera, Alejandro
4 Damianou, Pantelis Andrea
4 Facchi, Paolo
4 Gao, Xing
4 García-Naranjo, Luis C.
4 Jotz, Madeleine
4 Mehta, Rajan Amit
4 Padrón, Edith
4 Pelletier, Fernand
4 Peyghan, Esmaeil
4 Pozhidaev, Aleksandr Petrovich
4 Sosa, Diana
4 Vaisman, Izu
4 Ventriglia, Franco
4 Vitale, Patrizia
3 Agore, Ana-Loredana
3 Aniello, Paolo
3 Bai, Chengming
3 Bavula, Vladimir V.
3 Benatti, Fabio
3 Cabau, Patrick
3 Chruściński, Dariusz
3 Colombo, Leonardo Jesus
3 Covolo, Tiffany
3 De Nicola, Antonio
3 Dȩbecki, Jacek
3 Di Cosmo, Fabio
3 Drummond, Thiago
3 Giné, Jaume
3 Guo, Li
3 Ida, Cristian
3 Iglesias Ponte, David
3 Liu, Jiefeng
3 Meinrenken, Eckhard
3 Militaru, Gigel
3 Neeb, Karl-Hermann
3 Pascazio, Saverio
3 Popescu, Liviu Horia
3 Popescu, Paul P.
3 Rainer, Armin
3 Scolarici, Giuseppe
3 Simoni, Alberto
3 Tortorella, Alfonso Giuseppe
3 Volkert, Georg Friedrich
3 Wagemann, Friedrich
3 Weinstein, Alan David
3 Zampini, Alessandro
3 Życzkowski, Karol
2 Abrunheiro, Lígia
2 Aizawa, Naruhiko
2 Alipour, Sahar
2 Amakawa, K.
2 Arcuş, Constantin M.
2 Asorey, Manuel
2 Atkin, C. J.
2 Azimi, M. Jawad
2 Bajo, Ignacio
2 Barberis, María Laura
2 Barbero-Liñán, María
2 Beites, Patricia D.
2 Beltiţă, Daniel
2 Benayadi, Saïd
...and 464 more Authors
all top 5

Cited in 138 Serials

64 Journal of Geometry and Physics
52 International Journal of Geometric Methods in Modern Physics
35 Journal of Mathematical Physics
21 Journal of Geometric Mechanics
20 Reports on Mathematical Physics
16 Differential Geometry and its Applications
14 Letters in Mathematical Physics
12 Communications in Algebra
11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
10 Journal of Algebra
8 Journal of Mathematical Analysis and Applications
8 Journal of Pure and Applied Algebra
7 Topology and its Applications
7 Journal of Algebra and its Applications
6 Open Systems & Information Dynamics
6 Journal of Nonlinear Mathematical Physics
6 Journal of Physics A: Mathematical and Theoretical
5 Theoretical and Mathematical Physics
5 Advances in Mathematics
5 Czechoslovak Mathematical Journal
5 Annals of Global Analysis and Geometry
5 Indagationes Mathematicae. New Series
4 International Journal of Theoretical Physics
4 Annales de l’Institut Fourier
4 Journal of Differential Equations
4 Journal of Mathematical Sciences (New York)
4 Lobachevskii Journal of Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 International Journal of Modern Physics A
3 Communications in Mathematical Physics
3 Reviews in Mathematical Physics
3 Compositio Mathematica
3 Journal of Functional Analysis
3 Mathematische Annalen
3 Monatshefte für Mathematik
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Russian Journal of Mathematical Physics
3 Journal of Lie Theory
3 Transformation Groups
3 Journal of High Energy Physics
3 Central European Journal of Mathematics
3 Asian-European Journal of Mathematics
2 Modern Physics Letters A
2 Nonlinearity
2 Physics Letters. A
2 Physics Letters. B
2 Mathematische Zeitschrift
2 Pacific Journal of Mathematics
2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2 Acta Applicandae Mathematicae
2 Journal of Nonlinear Science
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Discrete and Continuous Dynamical Systems
2 Regular and Chaotic Dynamics
2 Journal of the European Mathematical Society (JEMS)
2 Acta Mathematica Sinica. English Series
2 Communications in Contemporary Mathematics
2 International Journal of Quantum Information
2 Mediterranean Journal of Mathematics
2 Frontiers of Mathematics in China
2 Physical Review A, Third Series
1 International Journal of Modern Physics B
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nuclear Physics. B
1 Physics Reports
1 Reviews of Modern Physics
1 Arkiv för Matematik
1 Fortschritte der Physik
1 Acta Mathematica
1 Annales Polonici Mathematici
1 Applied Mathematics and Computation
1 BIT
1 Dissertationes Mathematicae
1 International Journal of Mathematics and Mathematical Sciences
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Results in Mathematics
1 Semigroup Forum
1 SIAM Journal on Control and Optimization
1 Siberian Mathematical Journal
1 Advances in Applied Mathematics
1 Note di Matematica
1 Chinese Annals of Mathematics. Series B
1 Physica D
1 Discrete & Computational Geometry
1 MCSS. Mathematics of Control, Signals, and Systems
1 Forum Mathematicum
1 Journal of the Ramanujan Mathematical Society
1 Science in China. Series A
1 International Journal of Mathematics
...and 38 more Serials
all top 5

Cited in 50 Fields

227 Differential geometry (53-XX)
153 Nonassociative rings and algebras (17-XX)
116 Global analysis, analysis on manifolds (58-XX)
90 Mechanics of particles and systems (70-XX)
88 Quantum theory (81-XX)
86 Dynamical systems and ergodic theory (37-XX)
45 Topological groups, Lie groups (22-XX)
41 Ordinary differential equations (34-XX)
33 Associative rings and algebras (16-XX)
27 Functional analysis (46-XX)
20 Manifolds and cell complexes (57-XX)
18 Category theory; homological algebra (18-XX)
17 Partial differential equations (35-XX)
17 Algebraic topology (55-XX)
13 Commutative algebra (13-XX)
13 Group theory and generalizations (20-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
10 Several complex variables and analytic spaces (32-XX)
9 Relativity and gravitational theory (83-XX)
8 Algebraic geometry (14-XX)
8 General topology (54-XX)
6 Geometry (51-XX)
5 Operator theory (47-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Numerical analysis (65-XX)
4 Computer science (68-XX)
3 Number theory (11-XX)
3 Real functions (26-XX)
3 Special functions (33-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Potential theory (31-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistics (62-XX)
2 Systems theory; control (93-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Convex and discrete geometry (52-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Biology and other natural sciences (92-XX)

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