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Author ID: bordemann.martin Recent zbMATH articles by "Bordemann, Martin"
Published as: Bordemann, Martin; Bordemann, M.
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Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 774 times in 593 Documents Cited by Year
Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits. Zbl 0813.58026
Bordemann, Martin; Meinrenken, Eckhard; Schlichenmaier, Martin
156
1994
Nondegenerate invariant bilinear forms on nonassociative algebras. Zbl 1014.17003
Bordemann, M.
78
1997
A Fedosov star product of the Wick type for Kähler manifolds. Zbl 0892.53028
Bordemann, M.; Waldmann, S.
54
1997
Generalized Lax pairs, the modified classical Yang-Baxter equation, and affine geometry of Lie groups. Zbl 0714.58025
Bordemann, Martin
53
1990
Homogeneous Kähler manifolds: Paving the way towards new supersymmetric sigma models. Zbl 0585.53018
Bordemann, M.; Forger, M.; Römer, H.
50
1986
Homogeneous Fedosov star products on cotangent bundles. I: Weyl and standard ordering with differential operator representation. Zbl 0968.53056
Bordemann, Martin; Neumaier, Nikolai; Waldmann, Stefan
40
1998
BRST cohomology and phase space reduction in deformation quantization. Zbl 0961.53046
Bordemann, Martin; Herbig, Hans-Christian; Waldmann, Stefan
33
2000
Formal GNS construction and states in deformation quantization. Zbl 0989.53057
Bordemann, Martin; Waldmann, Stefan
26
1998
Some deformations of nilpotent Lie superalgebras. Zbl 1116.17012
Bordemann, M.; Gómez, J. R.; Khakimdjanov, Yu.; Navarro, R. M.
26
2007
\(gl(\infty{})\) and geometric quantization. Zbl 0735.58020
Bordemann, Martin; Hoppe, Jens; Schaller, Peter; Schlichenmaier, Martin
25
1991
Phase space reduction for star-products: An explicit construction for \(\mathbb{C} P^ n\). Zbl 0849.58035
Bordemann, M.; Brischle, M.; Emmrich, C.; Waldmann, S.
23
1996
Homogeneous Fedosov star products on cotangent bundles. II: GNS representations, the WKB expansion, traces, and applications. Zbl 0989.53060
Bordemann, Martin; Neumaier, Nikolai; Waldmann, Stefan
21
1999
On two integrable cellular automata. Zbl 0795.35098
Bobenko, Alexander; Bordemann, Martin; Gunn, Charlie; Pinkall, Ulrich
20
1993
The affine group as symplectic manifold. (Le groupe affine comme variété symplectique.) Zbl 0784.53031
Bordemann, Martin; Medina, Alberto; Quadfel, Ali
15
1993
The deformation quantization of certain super-Poisson brackets and BRST cohomology. Zbl 1004.53067
Bordemann, Martin
14
2000
A remark on formal KMS states in deformation quantization. Zbl 0951.53057
Bordemann, Martin; Römer, Hartmann; Waldmann, Stefan
14
1998
(Bi)modules, morphisms, and reduction of star-products: the symplectic case, foliations, and obstructions. Zbl 1099.53061
Bordemann, Martin
13
2005
Subalgebras with converging star products in deformation quantization: An algebraic construction for \(\mathbb{C} P^n\). Zbl 0923.58024
Bordemann, M.; Brischle, M.; Emmrich, C.; Waldmann, S.
11
1996
A homological approach to singular reduction in deformation quantization. Zbl 1128.53060
Bordemann, Martin; Herbig, Hans-Christian; Pflaum, Markus J.
11
2007
Global integration of Leibniz algebras. Zbl 1418.17005
Bordemann, Martin; Wagemann, Friedrich
11
2017
On representations of star product algebras over cotangent spaces on Hermitian line bundles. Zbl 1038.53087
Bordemann, Martin; Neumaier, Nikolai; Pflaum, Markus J.; Waldmann, Stefan
10
2003
Goldfish geodesics and Hamiltonian reduction of matrix dynamics. Zbl 1153.37398
Arnlind, Joakim; Bordemann, Martin; Hoppe, Jens; Lee, Choonkyu
10
2008
The Lie-Poisson structure of integrable classical nonlinear sigma models. Zbl 0767.53053
Bordemann, M.; Forger, M.; Laartz, J.; Schäper, U.
8
1993
Noncommutative Riemann surfaces by embeddings in \({\mathbb{R}^{3}}\). Zbl 1186.81077
Arnlind, Joakim; Bordemann, Martin; Hofer, Laurent; Hoppe, Jens; Shimada, Hidehiko
7
2009
Deformation by quantization and rigidity of enveloping algebras. (Déformation par quantification et rigidité des algèbres enveloppantes.) Zbl 1099.17010
Bordemann, M.; Makhlouf, A.; Petit, T.
6
2005
Formal GNS construction and WKB expansion in deformation quantization. Zbl 1166.53321
Bordemann, Martin; Waldmann, Stefan
6
1997
KMS states and star product quantization. Zbl 0964.81045
Bordemann, Martin; Römer, Hartmann; Waldmann, Stefan
5
1999
Traces for star products on the dual of a Lie algebra. Zbl 1129.53305
Bieliavsky, Pierre; Gutt, Simone; Bordemann, Martin; Waldmann, Stefan
4
2003
An unabelian version of the Voronov higher bracket construction. Zbl 1360.17022
Bordemann, Martin
3
2015
Algebraic classification of actions invariant under generalized flip moves of two-dimensional graphs. Zbl 0822.05026
Bordemann, Martin; Filk, Thomas; Nowak, Claus
3
1994
Deformation quantization of surjective submersions and principal fibre bundles. Zbl 1188.53104
Bordemann, Martin; Neumaier, Nikolai; Waldmann, Stefan; Weiß, Stefan
3
2010
Algebraic deformation quantization of Leibniz algebras. Zbl 1472.17009
Alexandre, Charles; Bordemann, Martin; Rivière, Salim; Wagemann, Friedrich
3
2018
Diffeomorphism invariant integrable field theories and hypersurface motions in Riemannian manifolds. Zbl 0929.53040
Bordemann, Martin; Hoppe, Jens
2
1998
The group of affine transformations of a Lie group with affine bi-invariant structure. (Le groupe des transformations affines d’un groupe de Lie à structure affine bi-invariante.) Zbl 1014.22015
Bordemann, Martin; Medina, Alberto
2
2002
Structure theory of rack-bialgebras. Zbl 1393.16026
Rivière, S.; Wagemann, F.; Alexandre, C.; Bordemann, M.
2
2016
\(L_{\infty}\)-formality check for the Hochschild complex of certain universal enveloping algebras. Zbl 1515.17033
Bordemann, Martin; Elchinger, Olivier; Gutt, Simone; Makhlouf, Abdenacer
2
2023
The minimality of determinantal varieties. Zbl 1471.53053
Bordemann, Martin; Choe, Jaigyoung; Hoppe, Jens
2
2021
Deformation quantization: a mini-lecture. Zbl 1208.53092
Bordemann, Martin
1
2007
Formality and deformations of universal enveloping algebras. Zbl 1140.17008
Bordemann, Martin; Makhlouf, Abdenacer
1
2008
\(L_{\infty}\)-formality check for the Hochschild complex of certain universal enveloping algebras. Zbl 1515.17033
Bordemann, Martin; Elchinger, Olivier; Gutt, Simone; Makhlouf, Abdenacer
2
2023
The minimality of determinantal varieties. Zbl 1471.53053
Bordemann, Martin; Choe, Jaigyoung; Hoppe, Jens
2
2021
Algebraic deformation quantization of Leibniz algebras. Zbl 1472.17009
Alexandre, Charles; Bordemann, Martin; Rivière, Salim; Wagemann, Friedrich
3
2018
Global integration of Leibniz algebras. Zbl 1418.17005
Bordemann, Martin; Wagemann, Friedrich
11
2017
Structure theory of rack-bialgebras. Zbl 1393.16026
Rivière, S.; Wagemann, F.; Alexandre, C.; Bordemann, M.
2
2016
An unabelian version of the Voronov higher bracket construction. Zbl 1360.17022
Bordemann, Martin
3
2015
Deformation quantization of surjective submersions and principal fibre bundles. Zbl 1188.53104
Bordemann, Martin; Neumaier, Nikolai; Waldmann, Stefan; Weiß, Stefan
3
2010
Noncommutative Riemann surfaces by embeddings in \({\mathbb{R}^{3}}\). Zbl 1186.81077
Arnlind, Joakim; Bordemann, Martin; Hofer, Laurent; Hoppe, Jens; Shimada, Hidehiko
7
2009
Goldfish geodesics and Hamiltonian reduction of matrix dynamics. Zbl 1153.37398
Arnlind, Joakim; Bordemann, Martin; Hoppe, Jens; Lee, Choonkyu
10
2008
Formality and deformations of universal enveloping algebras. Zbl 1140.17008
Bordemann, Martin; Makhlouf, Abdenacer
1
2008
Some deformations of nilpotent Lie superalgebras. Zbl 1116.17012
Bordemann, M.; Gómez, J. R.; Khakimdjanov, Yu.; Navarro, R. M.
26
2007
A homological approach to singular reduction in deformation quantization. Zbl 1128.53060
Bordemann, Martin; Herbig, Hans-Christian; Pflaum, Markus J.
11
2007
Deformation quantization: a mini-lecture. Zbl 1208.53092
Bordemann, Martin
1
2007
(Bi)modules, morphisms, and reduction of star-products: the symplectic case, foliations, and obstructions. Zbl 1099.53061
Bordemann, Martin
13
2005
Deformation by quantization and rigidity of enveloping algebras. (Déformation par quantification et rigidité des algèbres enveloppantes.) Zbl 1099.17010
Bordemann, M.; Makhlouf, A.; Petit, T.
6
2005
On representations of star product algebras over cotangent spaces on Hermitian line bundles. Zbl 1038.53087
Bordemann, Martin; Neumaier, Nikolai; Pflaum, Markus J.; Waldmann, Stefan
10
2003
Traces for star products on the dual of a Lie algebra. Zbl 1129.53305
Bieliavsky, Pierre; Gutt, Simone; Bordemann, Martin; Waldmann, Stefan
4
2003
The group of affine transformations of a Lie group with affine bi-invariant structure. (Le groupe des transformations affines d’un groupe de Lie à structure affine bi-invariante.) Zbl 1014.22015
Bordemann, Martin; Medina, Alberto
2
2002
BRST cohomology and phase space reduction in deformation quantization. Zbl 0961.53046
Bordemann, Martin; Herbig, Hans-Christian; Waldmann, Stefan
33
2000
The deformation quantization of certain super-Poisson brackets and BRST cohomology. Zbl 1004.53067
Bordemann, Martin
14
2000
Homogeneous Fedosov star products on cotangent bundles. II: GNS representations, the WKB expansion, traces, and applications. Zbl 0989.53060
Bordemann, Martin; Neumaier, Nikolai; Waldmann, Stefan
21
1999
KMS states and star product quantization. Zbl 0964.81045
Bordemann, Martin; Römer, Hartmann; Waldmann, Stefan
5
1999
Homogeneous Fedosov star products on cotangent bundles. I: Weyl and standard ordering with differential operator representation. Zbl 0968.53056
Bordemann, Martin; Neumaier, Nikolai; Waldmann, Stefan
40
1998
Formal GNS construction and states in deformation quantization. Zbl 0989.53057
Bordemann, Martin; Waldmann, Stefan
26
1998
A remark on formal KMS states in deformation quantization. Zbl 0951.53057
Bordemann, Martin; Römer, Hartmann; Waldmann, Stefan
14
1998
Diffeomorphism invariant integrable field theories and hypersurface motions in Riemannian manifolds. Zbl 0929.53040
Bordemann, Martin; Hoppe, Jens
2
1998
Nondegenerate invariant bilinear forms on nonassociative algebras. Zbl 1014.17003
Bordemann, M.
78
1997
A Fedosov star product of the Wick type for Kähler manifolds. Zbl 0892.53028
Bordemann, M.; Waldmann, S.
54
1997
Formal GNS construction and WKB expansion in deformation quantization. Zbl 1166.53321
Bordemann, Martin; Waldmann, Stefan
6
1997
Phase space reduction for star-products: An explicit construction for \(\mathbb{C} P^ n\). Zbl 0849.58035
Bordemann, M.; Brischle, M.; Emmrich, C.; Waldmann, S.
23
1996
Subalgebras with converging star products in deformation quantization: An algebraic construction for \(\mathbb{C} P^n\). Zbl 0923.58024
Bordemann, M.; Brischle, M.; Emmrich, C.; Waldmann, S.
11
1996
Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits. Zbl 0813.58026
Bordemann, Martin; Meinrenken, Eckhard; Schlichenmaier, Martin
156
1994
Algebraic classification of actions invariant under generalized flip moves of two-dimensional graphs. Zbl 0822.05026
Bordemann, Martin; Filk, Thomas; Nowak, Claus
3
1994
On two integrable cellular automata. Zbl 0795.35098
Bobenko, Alexander; Bordemann, Martin; Gunn, Charlie; Pinkall, Ulrich
20
1993
The affine group as symplectic manifold. (Le groupe affine comme variété symplectique.) Zbl 0784.53031
Bordemann, Martin; Medina, Alberto; Quadfel, Ali
15
1993
The Lie-Poisson structure of integrable classical nonlinear sigma models. Zbl 0767.53053
Bordemann, M.; Forger, M.; Laartz, J.; Schäper, U.
8
1993
\(gl(\infty{})\) and geometric quantization. Zbl 0735.58020
Bordemann, Martin; Hoppe, Jens; Schaller, Peter; Schlichenmaier, Martin
25
1991
Generalized Lax pairs, the modified classical Yang-Baxter equation, and affine geometry of Lie groups. Zbl 0714.58025
Bordemann, Martin
53
1990
Homogeneous Kähler manifolds: Paving the way towards new supersymmetric sigma models. Zbl 0585.53018
Bordemann, M.; Forger, M.; Römer, H.
50
1986
all top 5

Cited by 620 Authors

28 Waldmann, Stefan
20 Benayadi, Saïd
20 Navarro, Rosa María
18 Bai, Chengming
14 Bordemann, Martin
14 Karabegov, Alexander V.
11 Makhlouf, Abdenacer
11 Polterovich, Leonid Viktorovich
10 Guo, Li
10 Ioos, Louis
10 Sheng, Yunhe
9 Chen, Liangyun
9 Omirov, Bakhrom A.
9 Sharapov, Alexey A.
8 Arvanitoyeorgos, Andreas
8 Camacho, Luisa Maria
8 Engliš, Miroslav
8 Neumaier, Nikolai
8 Podestà, Fabio
8 Sako, Akifumi
7 Esposito, Chiara
7 Khakimdjanov, Yusupdjan Bakimdjanovich
7 Ma, Xiaonan
6 Andersen, Jørgen Ellegaard
6 Barron, Tatyana
6 Boucetta, Mohamed
6 Chrysikos, Ioannis
6 Gómez, José R.
6 Marinescu, George
6 Medina, Alberto P.
6 Prosen, Tomaž
6 Schmitt, Philipp
6 Tang, Rong
6 Uribe, Alejandro
6 van de Ven, Christiaan J. F.
5 Arnlind, Joakim
5 Barreiro, Elisabete
5 Benito, Pilar
5 Charles, Laurent
5 Chen, Zhiqi
5 Gao, Xing
5 Gutt, Simone
5 Lyakhovich, Simon L.
5 Schlichenmaier, Martin
5 Tkachev, Vladimir G.
4 Alekseevskiĭ, Dmitriĭ Vladimirovich
4 Ali, Syed Twareque
4 Bajo, Ignacio
4 Bouarroudj, Sofiane
4 Calogero, Francesco A.
4 García-Compeán, Hugo
4 Grammaticos, Basil
4 Hoppe, Jens
4 Khudoyberdiyev, Abror Kh.
4 Klobas, Katja
4 Kordyukov, Yuri A.
4 Leung, Naichung Conan
4 Ma, Yao
4 Mabrouk, Sami
4 Ni, Xiang
4 Nitta, Muneto
4 Pflaum, Markus J.
4 Ramani, Alfred
4 Roldán-López, Jorge
4 Schötz, Matthias
4 Silvestrov, Sergei D.
4 Tosiek, Jaromir
4 Viviani, Milo
3 Albuquerque, Helena
3 Borthwick, David
3 Boulmane, Said
3 Bursztyn, Henrique
3 Chan, Kwokwai
3 D’Andrea, Francesco
3 Deng, Shaoqiang
3 Dias, Nuno Costa
3 Dippell, Marvin
3 Domański, Ziemowit
3 Elfimov, Boris M.
3 Fialowski, Alice
3 Galajinsky, Anton V.
3 Henselder, Peter
3 Hirshfeld, Allen C.
3 Hou, Dongping
3 Karasev, Mikhail Vladimirovich
3 Kraft, Andreas
3 Lazarev, Andrey
3 Lechtenfeld, Olaf
3 Li, Juan
3 Li, Qin
3 Liu, Jiefeng
3 Liu, Wende
3 Liu, Yan
3 Moretti, Valter
3 Paul, Thierry
3 Prata, João Nuno
3 Sakane, Yusuke
3 Sánchez Delgado, José María
3 Shimada, Hidehiko
3 Sun, Bing
...and 520 more Authors
all top 5

Cited in 152 Serials

70 Journal of Geometry and Physics
39 Journal of Mathematical Physics
35 Communications in Mathematical Physics
32 Letters in Mathematical Physics
18 Communications in Algebra
17 Nuclear Physics. B
15 Journal of Algebra
15 Journal of High Energy Physics
11 Journal of Algebra and its Applications
10 Advances in Mathematics
10 Journal of Physics A: Mathematical and Theoretical
9 Physics Letters. B
9 Journal of Functional Analysis
9 Annals of Physics
9 Linear Algebra and its Applications
8 Reports on Mathematical Physics
8 Reviews in Mathematical Physics
8 The Journal of Geometric Analysis
7 Physics Letters. A
7 Journal of Pure and Applied Algebra
7 Transactions of the American Mathematical Society
7 Differential Geometry and its Applications
7 Journal of Noncommutative Geometry
6 Forum Mathematicum
6 Journal of Nonlinear Mathematical Physics
5 International Journal of Modern Physics A
5 Proceedings of the American Mathematical Society
5 Annals of Global Analysis and Geometry
5 International Journal of Geometric Methods in Modern Physics
4 Journal für die Reine und Angewandte Mathematik
4 Mathematische Zeitschrift
4 Results in Mathematics
4 International Journal of Mathematics
3 Theoretical and Mathematical Physics
3 Duke Mathematical Journal
3 Manuscripta Mathematica
3 Pacific Journal of Mathematics
3 International Journal of Algebra and Computation
3 Acta Mathematica Sinica. English Series
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Hacettepe Journal of Mathematics and Statistics
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
3 Advances in Mathematical Physics
2 International Journal of Theoretical Physics
2 Israel Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Chaos, Solitons and Fractals
2 Annales de l’Institut Fourier
2 Mathematische Annalen
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Tôhoku Mathematical Journal. Second Series
2 Communications in Partial Differential Equations
2 Expositiones Mathematicae
2 Journal of Mathematical Sciences (New York)
2 Advances in Applied Clifford Algebras
2 Journal of Lie Theory
2 Transformation Groups
2 Mathematical Physics, Analysis and Geometry
2 Annales Henri Poincaré
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Mediterranean Journal of Mathematics
2 Journal of Geometry and Symmetry in Physics
2 The European Physical Journal C. Particles and Fields
2 Frontiers of Mathematics in China
2 Acta Mathematica Sinica. Chinese Series
2 International Electronic Journal of Algebra (IEJA)
2 Analysis and Mathematical Physics
1 Modern Physics Letters A
1 Bulletin of the Australian Mathematical Society
1 Classical and Quantum Gravity
1 General Relativity and Gravitation
1 Journal of Computational Physics
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Physics Reports
1 Reviews of Modern Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 American Journal of Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Collectanea Mathematica
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Functional Analysis and its Applications
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Hiroshima Mathematical Journal
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Inventiones Mathematicae
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 Revista de la Unión Matemática Argentina
...and 52 more Serials
all top 5

Cited in 49 Fields

280 Differential geometry (53-XX)
202 Quantum theory (81-XX)
201 Nonassociative rings and algebras (17-XX)
60 Several complex variables and analytic spaces (32-XX)
49 Dynamical systems and ergodic theory (37-XX)
48 Operator theory (47-XX)
48 Global analysis, analysis on manifolds (58-XX)
46 Associative rings and algebras (16-XX)
44 Functional analysis (46-XX)
27 Algebraic geometry (14-XX)
23 Topological groups, Lie groups (22-XX)
23 Partial differential equations (35-XX)
20 Statistical mechanics, structure of matter (82-XX)
20 Relativity and gravitational theory (83-XX)
15 Mechanics of particles and systems (70-XX)
14 Manifolds and cell complexes (57-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
8 Commutative algebra (13-XX)
8 Group theory and generalizations (20-XX)
8 Fluid mechanics (76-XX)
6 Algebraic topology (55-XX)
5 Category theory; homological algebra (18-XX)
5 Ordinary differential equations (34-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Numerical analysis (65-XX)
4 Computer science (68-XX)
3 Combinatorics (05-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
3 Difference and functional equations (39-XX)
3 Probability theory and stochastic processes (60-XX)
2 Number theory (11-XX)
2 \(K\)-theory (19-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Abstract harmonic analysis (43-XX)
2 General topology (54-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year