×
Compute Distance To:
Author ID: bordemann.martin Recent zbMATH articles by "Bordemann, Martin"
Published as: Bordemann, Martin; Bordemann, M.

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 640 times in 483 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
138
1994
Nondegenerate invariant bilinear forms on nonassociative algebras. Zbl 1014.17003
Bordemann, M.
71
1997
A Fedosov star product of the Wick type for Kähler manifolds. Zbl 0892.53028
Bordemann, M.; Waldmann, S.
45
1997
Generalized Lax pairs, the modified classical Yang-Baxter equation, and affine geometry of Lie groups. Zbl 0714.58025
Bordemann, Martin
43
1990
Homogeneous Kähler manifolds: Paving the way towards new supersymmetric sigma models. Zbl 0585.53018
Bordemann, M.; Forger, M.; Römer, H.
40
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
35
1998
BRST cohomology and phase space reduction in deformation quantization. Zbl 0961.53046
Bordemann, Martin; Herbig, Hans-Christian; Waldmann, Stefan
26
2000
Some deformations of nilpotent Lie superalgebras. Zbl 1116.17012
Bordemann, M.; Gómez, J. R.; Khakimdjanov, Yu.; Navarro, R. M.
24
2007
\(gl(\infty{})\) and geometric quantization. Zbl 0735.58020
Bordemann, Martin; Hoppe, Jens; Schaller, Peter; Schlichenmaier, Martin
21
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.
19
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
18
1999
Formal GNS construction and states in deformation quantization. Zbl 0989.53057
Bordemann, Martin; Waldmann, Stefan
17
1998
The deformation quantization of certain super-Poisson brackets and BRST cohomology. Zbl 1004.53067
Bordemann, Martin
14
2000
(Bi)modules, morphisms, and reduction of star-products: the symplectic case, foliations, and obstructions. Zbl 1099.53061
Bordemann, Martin
12
2005
The affine group as symplectic manifold. (Le groupe affine comme variété symplectique.) Zbl 0784.53031
Bordemann, Martin; Medina, Alberto; Quadfel, Ali
12
1993
A remark on formal KMS states in deformation quantization. Zbl 0951.53057
Bordemann, Martin; Römer, Hartmann; Waldmann, Stefan
11
1998
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.
10
1996
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
9
2003
A homological approach to singular reduction in deformation quantization. Zbl 1128.53060
Bordemann, Martin; Herbig, Hans-Christian; Pflaum, Markus J.
9
2007
On two integrable cellular automata. Zbl 0795.35098
Bobenko, Alexander; Bordemann, Martin; Gunn, Charlie; Pinkall, Ulrich
8
1993
Goldfish geodesics and Hamiltonian reduction of matrix dynamics. Zbl 1153.37398
Arnlind, Joakim; Bordemann, Martin; Hoppe, Jens; Lee, Choonkyu
7
2008
Formal GNS construction and WKB expansion in deformation quantization. Zbl 1166.53321
Bordemann, Martin; Waldmann, Stefan
6
1997
Noncommutative Riemann surfaces by embeddings in \({\mathbb{R}^{3}}\). Zbl 1186.81077
Arnlind, Joakim; Bordemann, Martin; Hofer, Laurent; Hoppe, Jens; Shimada, Hidehiko
6
2009
The Lie-Poisson structure of integrable classical nonlinear sigma models. Zbl 0767.53053
Bordemann, M.; Forger, M.; Laartz, J.; Schäper, U.
5
1993
Global integration of Leibniz algebras. Zbl 1418.17005
Bordemann, Martin; Wagemann, Friedrich
5
2017
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.
5
2005
KMS states and star product quantization. Zbl 0964.81045
Bordemann, Martin; Römer, Hartmann; Waldmann, Stefan
4
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
Algebraic deformation quantization of Leibniz algebras. Zbl 1472.17009
Alexandre, Charles; Bordemann, Martin; Rivière, Salim; Wagemann, Friedrich
3
2018
Deformation quantization of surjective submersions and principal fibre bundles. Zbl 1188.53104
Bordemann, Martin; Neumaier, Nikolai; Waldmann, Stefan; Weiß, Stefan
3
2010
An unabelian version of the Voronov higher bracket construction. Zbl 1360.17022
Bordemann, Martin
2
2015
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
Diffeomorphism invariant integrable field theories and hypersurface motions in Riemannian manifolds. Zbl 0929.53040
Bordemann, Martin; Hoppe, Jens
2
1998
Deformation quantization: a mini-lecture. Zbl 1208.53092
Bordemann, Martin
1
2007
Algebraic classification of actions invariant under generalized flip moves of two-dimensional graphs. Zbl 0822.05026
Bordemann, Martin; Filk, Thomas; Nowak, Claus
1
1994
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
5
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
2
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
6
2009
Goldfish geodesics and Hamiltonian reduction of matrix dynamics. Zbl 1153.37398
Arnlind, Joakim; Bordemann, Martin; Hoppe, Jens; Lee, Choonkyu
7
2008
Some deformations of nilpotent Lie superalgebras. Zbl 1116.17012
Bordemann, M.; Gómez, J. R.; Khakimdjanov, Yu.; Navarro, R. M.
24
2007
A homological approach to singular reduction in deformation quantization. Zbl 1128.53060
Bordemann, Martin; Herbig, Hans-Christian; Pflaum, Markus J.
9
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
12
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.
5
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
9
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
26
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
18
1999
KMS states and star product quantization. Zbl 0964.81045
Bordemann, Martin; Römer, Hartmann; Waldmann, Stefan
4
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
35
1998
Formal GNS construction and states in deformation quantization. Zbl 0989.53057
Bordemann, Martin; Waldmann, Stefan
17
1998
A remark on formal KMS states in deformation quantization. Zbl 0951.53057
Bordemann, Martin; Römer, Hartmann; Waldmann, Stefan
11
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.
71
1997
A Fedosov star product of the Wick type for Kähler manifolds. Zbl 0892.53028
Bordemann, M.; Waldmann, S.
45
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.
19
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.
10
1996
Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits. Zbl 0813.58026
Bordemann, Martin; Meinrenken, Eckhard; Schlichenmaier, Martin
138
1994
Algebraic classification of actions invariant under generalized flip moves of two-dimensional graphs. Zbl 0822.05026
Bordemann, Martin; Filk, Thomas; Nowak, Claus
1
1994
The affine group as symplectic manifold. (Le groupe affine comme variété symplectique.) Zbl 0784.53031
Bordemann, Martin; Medina, Alberto; Quadfel, Ali
12
1993
On two integrable cellular automata. Zbl 0795.35098
Bobenko, Alexander; Bordemann, Martin; Gunn, Charlie; Pinkall, Ulrich
8
1993
The Lie-Poisson structure of integrable classical nonlinear sigma models. Zbl 0767.53053
Bordemann, M.; Forger, M.; Laartz, J.; Schäper, U.
5
1993
\(gl(\infty{})\) and geometric quantization. Zbl 0735.58020
Bordemann, Martin; Hoppe, Jens; Schaller, Peter; Schlichenmaier, Martin
21
1991
Generalized Lax pairs, the modified classical Yang-Baxter equation, and affine geometry of Lie groups. Zbl 0714.58025
Bordemann, Martin
43
1990
Homogeneous Kähler manifolds: Paving the way towards new supersymmetric sigma models. Zbl 0585.53018
Bordemann, M.; Forger, M.; Römer, H.
40
1986
all top 5

Cited by 516 Authors

28 Waldmann, Stefan
19 Benayadi, Saïd
19 Navarro, Rosa María
15 Bai, Chengming
14 Karabegov, Alexander V.
13 Bordemann, Martin
9 Chen, Liangyun
9 Polterovich, Leonid Viktorovich
8 Arvanitoyeorgos, Andreas
8 Engliš, Miroslav
8 Guo, Li
8 Ioos, Louis
8 Makhlouf, Abdenacer
8 Neumaier, Nikolai
8 Omirov, Bakhrom A.
8 Podestà, Fabio
7 Camacho, Luisa Maria
7 Khakimdjanov, Yusupdjan Bakimdjanovich
6 Barron, Tatyana
6 Chrysikos, Ioannis
6 Esposito, Chiara
6 Gómez, José R.
6 Ma, Xiaonan
6 Medina, Alberto P.
6 Sharapov, Alexey A.
6 Sheng, Yunhe
6 Uribe, Alejandro
5 Andersen, Jørgen Ellegaard
5 Barreiro, Elisabete
5 Charles, Laurent
5 Marinescu, George
5 Sako, Akifumi
5 Schlichenmaier, Martin
5 Schmitt, Philipp
5 Tkachev, Vladimir G.
4 Alekseevskiĭ, Dmitriĭ Vladimirovich
4 Ali, Syed Twareque
4 Arnlind, Joakim
4 Boucetta, Mohamed
4 Calogero, Francesco A.
4 Chen, Zhiqi
4 Gutt, Simone
4 Khudoyberdiyev, Abror Kh.
4 Kordyukov, Yuri A.
4 Lyakhovich, Simon L.
4 Ma, Yao
4 Ni, Xiang
4 Pflaum, Markus J.
4 van de Ven, Christiaan J. F.
4 Viviani, Milo
3 Albuquerque, Helena
3 Bajo, Ignacio
3 Benito, Pilar
3 Borthwick, David
3 Bouarroudj, Sofiane
3 Bursztyn, Henrique
3 D’Andrea, Francesco
3 Dias, Nuno Costa
3 Dippell, Marvin
3 Fialowski, Alice
3 Gao, Xing
3 Hoppe, Jens
3 Karasev, Mikhail Vladimirovich
3 Leung, Naichung Conan
3 Liu, Wende
3 Liu, Yan
3 Mabrouk, Sami
3 Paul, Thierry
3 Prata, João Nuno
3 Sakane, Yusuke
3 Sánchez Delgado, José María
3 Schötz, Matthias
3 Sun, Bing
3 Suzuki, Toshiya
3 Tang, Rong
3 Tang, Xiang
3 Umetsu, Hiroshi
3 Wagemann, Friedrich
3 Xu, Hao
3 Yang, Yong
2 Agaoka, Yoshio
2 Ayadi, Imen
2 Baklouti, Amir
2 Balachandran, Aiyalam P.
2 Bastos, Catarina
2 Bauer, Wolfram
2 Ben Hassine, Abdelkader
2 Berceanu, Stefan
2 Bismut, Jean-Michel
2 Boulmane, Said
2 Carow-Watamura, Ursula
2 Chan, Kwokwai
2 Chen, Hongjia
2 Chen, Yuqun
2 Coburn, Lewis A.
2 De-La-Concepción, Daniel
2 Deng, Shaoqiang
2 Dullin, Holger R.
2 Elfimov, Boris M.
2 Forger, Michael
...and 416 more Authors
all top 5

Cited in 134 Serials

64 Journal of Geometry and Physics
38 Journal of Mathematical Physics
33 Communications in Mathematical Physics
30 Letters in Mathematical Physics
16 Communications in Algebra
13 Journal of Algebra
10 Journal of High Energy Physics
10 Journal of Algebra and its Applications
9 Nuclear Physics. B
9 Linear Algebra and its Applications
8 Reviews in Mathematical Physics
8 Advances in Mathematics
7 Reports on Mathematical Physics
7 Journal of Functional Analysis
7 Transactions of the American Mathematical Society
7 Differential Geometry and its Applications
7 The Journal of Geometric Analysis
6 Journal of Pure and Applied Algebra
5 International Journal of Modern Physics A
5 Proceedings of the American Mathematical Society
5 Annals of Global Analysis and Geometry
5 Journal of Nonlinear Mathematical Physics
4 Journal für die Reine und Angewandte Mathematik
4 Mathematische Zeitschrift
4 Results in Mathematics
4 Forum Mathematicum
3 Theoretical and Mathematical Physics
3 Duke Mathematical Journal
3 Manuscripta Mathematica
3 International Journal of Mathematics
3 Acta Mathematica Sinica. English Series
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 International Journal of Geometric Methods in Modern Physics
3 Journal of Noncommutative Geometry
3 Advances in Mathematical Physics
2 International Journal of Theoretical Physics
2 Israel Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Physics Letters. B
2 Annales de l’Institut Fourier
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Tôhoku Mathematical Journal. Second Series
2 International Journal of Algebra and Computation
2 Communications in Partial Differential Equations
2 Expositiones Mathematicae
2 Journal of Mathematical Sciences (New York)
2 Advances in Applied Clifford Algebras
2 Transformation Groups
2 Mathematical Physics, Analysis and Geometry
2 Annales Henri Poincaré
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Hacettepe Journal of Mathematics and Statistics
2 The European Physical Journal C. Particles and Fields
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Frontiers of Mathematics in China
2 Journal of Physics A: Mathematical and Theoretical
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 Mathematical Notes
1 Physics Reports
1 Reviews of Modern Physics
1 Chaos, Solitons and Fractals
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
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 Mathematische Annalen
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Revista de la Unión Matemática Argentina
1 Semigroup Forum
1 Tokyo Journal of Mathematics
1 Journal of Symbolic Computation
1 Revista Matemática Iberoamericana
1 Asymptotic Analysis
1 Science in China. Series A
1 Annals of Physics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Applied Mathematics
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Applied Categorical Structures
1 Russian Journal of Mathematical Physics
...and 34 more Serials
all top 5

Cited in 45 Fields

239 Differential geometry (53-XX)
167 Nonassociative rings and algebras (17-XX)
157 Quantum theory (81-XX)
50 Several complex variables and analytic spaces (32-XX)
42 Operator theory (47-XX)
39 Global analysis, analysis on manifolds (58-XX)
37 Associative rings and algebras (16-XX)
37 Functional analysis (46-XX)
36 Dynamical systems and ergodic theory (37-XX)
20 Algebraic geometry (14-XX)
19 Partial differential equations (35-XX)
18 Topological groups, Lie groups (22-XX)
17 Relativity and gravitational theory (83-XX)
13 Manifolds and cell complexes (57-XX)
11 Mechanics of particles and systems (70-XX)
10 Statistical mechanics, structure of matter (82-XX)
8 Fluid mechanics (76-XX)
7 Commutative algebra (13-XX)
7 Group theory and generalizations (20-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Ordinary differential equations (34-XX)
4 Algebraic topology (55-XX)
4 Numerical analysis (65-XX)
3 Category theory; homological algebra (18-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
2 Combinatorics (05-XX)
2 Number theory (11-XX)
2 \(K\)-theory (19-XX)
2 Special functions (33-XX)
2 Abstract harmonic analysis (43-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 General topology (54-XX)
2 Probability theory and stochastic processes (60-XX)
2 Information and communication theory, circuits (94-XX)
1 General algebraic systems (08-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-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 Computer science (68-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year