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Schlichenmaier, Martin

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Author ID: schlichenmaier.martin Recent zbMATH articles by "Schlichenmaier, Martin"
Published as: Schlichenmaier, Martin; Schlichenmaier, M.; Schlichenmeier, Martin
External Links: MGP
Documents Indexed: 76 Publications since 1989, including 23 Books
Reviewing Activity: 169 Reviews

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 554 times in 284 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
116
1994
Identification of Berezin-Toeplitz deformation quantization. Zbl 0997.53067
Karabegov, A. V.; Schlichenmaier, M.
45
2001
Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results. Zbl 1207.81049
Schlichenmaier, Martin
32
2010
Krichever-Novikov algebras for more than two points. Zbl 0691.30037
Schlichenmaier, Martin
30
1990
Deformation quantization of compact Kähler manifolds by Berezin-Toeplitz quantization. Zbl 1028.53085
Schlichenmaier, Martin
28
2000
\(gl(\infty{})\) and geometric quantization. Zbl 0735.58020
Bordemann, Martin; Hoppe, Jens; Schaller, Peter; Schlichenmaier, Martin
19
1991
An introduction to Riemann surfaces, algebraic curves and moduli spaces. Zbl 0683.14007
Schlichenmaier, Martin
18
1989
Local cocycles and central extensions for multipoint algebras of Krichever-Novikov type. Zbl 1124.17305
Schlichenmaier, Martin
18
2003
Central extensions and semi-infinite wedge representations of Krichever- Novikov algebras for more than two points. Zbl 0703.30039
Schlichenmaier, Martin
18
1990
Krichever-Novikov algebras for more than two points: explicit generators. Zbl 0703.30038
Schlichenmaier, Martin
17
1990
Global deformations of the Witt algebra of Krichever-Novikov type. Zbl 1052.17011
Fialowski, Alice; Schlichenmaier, Martin
16
2003
Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras. Zbl 0943.17019
Schlichenmaier, M.; Sheinman, O. K.
15
1999
The Sugawara construction and Casimir operators for Krichever-Novikov algebras. Zbl 1006.17503
Schlichenmaier, M.; Sheinman, O. K.
14
1998
Higher genus affine algebras of Krichever-Novikov type. Zbl 1115.17010
Schlichenmaier, Martin
14
2003
Almost-Kähler deformation quantization. Zbl 1044.53061
Karabegov, Alexander V.; Schlichenmaier, Martin
13
2001
Krichever-Novikov type algebras. Theory and applications. Zbl 1347.17001
Schlichenmaier, Martin
13
2014
Global geometric deformations of current algebras as Krichever-Novikov type algebras. Zbl 1136.17307
Fialowski, Alice; Schlichenmaier, Martin
13
2005
Verallgemeinerte Krichever-Novikov Algebren und deren Darstellungen. (Generalized Krichever-Novikov algebras and their representation). Zbl 0721.30031
Schlichenmaier, Martin
12
1990
Berezin-Toeplitz quantization and Berezin transform. Zbl 0983.81035
Schlichenmaier, Martin
11
2001
Coherent state embeddings, polar divisors and Cauchy formulas. Zbl 1002.81027
Berceanu, Stefan; Schlichenmaier, Martin
11
2000
Degenerations of generalized Krichever-Novikov algebras on tori. Zbl 0806.17024
Schlichenmaier, Martin
9
1993
Berezin-Toeplitz quantization and star products for compact Kähler manifolds. Zbl 1316.53096
Schlichenmaier, Martin
9
2012
The Knizhnik-Zamolodchikov equations for positive genus, and Krichever-Novikov algebras. Zbl 1066.17014
Schlichenmaier, Martin; Sheinman, O. K.
8
2004
String branchings on complex tori and algebraic representations of generalized Krichever-Novikov algebras. Zbl 0774.17027
Ruffing, Andreas; Deck, Thomas; Schlichenmaier, Martin
5
1992
Quantization of singular symplectic quotients. Based on a research-in-pairs workshop, Oberwolfach, Germany, August 2–6, 1999. Zbl 0970.00023
Landsman, N. P. (ed.); Pflaum, M. (ed.); Schlichenmaier, M. (ed.)
5
2001
Berezin-Toeplitz quantization for compact Kähler manifolds. An introduction. Zbl 1235.53096
Schlichenmaier, Martin
5
2011
Central extensions of Lax operator algebras. Zbl 1204.17016
Schlichenmaier, M.; Sheinman, O. K.
5
2008
An elementary proof of the vanishing of the second cohomology of the Witt and Virasoro algebra with values in the adjoint module. Zbl 1367.17016
Schlichenmaier, Martin
5
2014
Multipoint Lax operator algebras: almost-graded structure and central extensions. Zbl 1361.17021
Schlichenmaier, M.
5
2014
From the Virasoro algebra to Krichever-Novikov type algebras and beyond. Zbl 1369.17023
Schlichenmaier, Martin
5
2014
\(N\)-point Virasoro algebras are multipoint Krichever-Novikov-type algebras. Zbl 1406.17029
Schlichenmaier, Martin
4
2017
Lie superalgebras of Krichever-Novikov type and their central extensions. Zbl 1376.17029
Schlichenmaier, Martin
3
2013
An introduction to Riemann surfaces, algebraic curves and moduli spaces. 2nd ed. Zbl 1153.14023
Schlichenmaier, Martin
3
2007
Global geometric deformations of the Virasoro algebra, current and affine algebras by Krichever-Novikov type algebras. Zbl 1127.81021
Fialowski, A.; Schlichenmaier, M.
2
2007
Berezin-Toeplitz quantization of the moduli space of flat SU\((N)\) connections. Zbl 1151.81026
Schlichenmaier, Martin
2
2007
Krichever-Novikov type algebras. An introduction. Zbl 1427.17034
Schlichenmaier, Martin
1
2016
Higher genus affine Lie algebras of Krichever-Novikov type. Zbl 1148.17015
Schlichenmaier, Martin
1
2007
Geometric methods in physics. XXXII workshop, Białowieża, Poland, June 30 – July 6, 2013. Selected papers. Zbl 1296.00056
Kielanowski, Piotr (ed.); Bieliavsky, Pierre (ed.); Odesskii, Alexander (ed.); Odzijewicz, Anatol (ed.); Schlichenmaier, Martin (ed.); Voronov, Theodore (ed.)
1
2014
Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 – July 5, 2014. Zbl 1329.00214
Kielanowski, Piotr (ed.); Bieliavsky, Pierre (ed.); Odzijewicz, Anatol (ed.); Schlichenmaier, Martin (ed.); Voronov, Theodore (ed.)
1
2015
An elementary proof of the formal rigidity of the Witt and Virasoro algebra. Zbl 1393.17032
Schlichenmaier, Martin
1
2013
Berezin-Toeplitz quantization and naturally defined star products for Kähler manifolds. Zbl 1436.53003
Schlichenmaier, Martin
1
2018
Berezin-Toeplitz quantization and naturally defined star products for Kähler manifolds. Zbl 1436.53003
Schlichenmaier, Martin
1
2018
\(N\)-point Virasoro algebras are multipoint Krichever-Novikov-type algebras. Zbl 1406.17029
Schlichenmaier, Martin
4
2017
Krichever-Novikov type algebras. An introduction. Zbl 1427.17034
Schlichenmaier, Martin
1
2016
Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 – July 5, 2014. Zbl 1329.00214
Kielanowski, Piotr; Bieliavsky, Pierre; Odzijewicz, Anatol; Schlichenmaier, Martin; Voronov, Theodore
1
2015
Krichever-Novikov type algebras. Theory and applications. Zbl 1347.17001
Schlichenmaier, Martin
13
2014
An elementary proof of the vanishing of the second cohomology of the Witt and Virasoro algebra with values in the adjoint module. Zbl 1367.17016
Schlichenmaier, Martin
5
2014
Multipoint Lax operator algebras: almost-graded structure and central extensions. Zbl 1361.17021
Schlichenmaier, M.
5
2014
From the Virasoro algebra to Krichever-Novikov type algebras and beyond. Zbl 1369.17023
Schlichenmaier, Martin
5
2014
Geometric methods in physics. XXXII workshop, Białowieża, Poland, June 30 – July 6, 2013. Selected papers. Zbl 1296.00056
Kielanowski, Piotr; Bieliavsky, Pierre; Odesskii, Alexander; Odzijewicz, Anatol; Schlichenmaier, Martin; Voronov, Theodore
1
2014
Lie superalgebras of Krichever-Novikov type and their central extensions. Zbl 1376.17029
Schlichenmaier, Martin
3
2013
An elementary proof of the formal rigidity of the Witt and Virasoro algebra. Zbl 1393.17032
Schlichenmaier, Martin
1
2013
Berezin-Toeplitz quantization and star products for compact Kähler manifolds. Zbl 1316.53096
Schlichenmaier, Martin
9
2012
Berezin-Toeplitz quantization for compact Kähler manifolds. An introduction. Zbl 1235.53096
Schlichenmaier, Martin
5
2011
Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results. Zbl 1207.81049
Schlichenmaier, Martin
32
2010
Central extensions of Lax operator algebras. Zbl 1204.17016
Schlichenmaier, M.; Sheinman, O. K.
5
2008
An introduction to Riemann surfaces, algebraic curves and moduli spaces. 2nd ed. Zbl 1153.14023
Schlichenmaier, Martin
3
2007
Global geometric deformations of the Virasoro algebra, current and affine algebras by Krichever-Novikov type algebras. Zbl 1127.81021
Fialowski, A.; Schlichenmaier, M.
2
2007
Berezin-Toeplitz quantization of the moduli space of flat SU\((N)\) connections. Zbl 1151.81026
Schlichenmaier, Martin
2
2007
Higher genus affine Lie algebras of Krichever-Novikov type. Zbl 1148.17015
Schlichenmaier, Martin
1
2007
Global geometric deformations of current algebras as Krichever-Novikov type algebras. Zbl 1136.17307
Fialowski, Alice; Schlichenmaier, Martin
13
2005
The Knizhnik-Zamolodchikov equations for positive genus, and Krichever-Novikov algebras. Zbl 1066.17014
Schlichenmaier, Martin; Sheinman, O. K.
8
2004
Local cocycles and central extensions for multipoint algebras of Krichever-Novikov type. Zbl 1124.17305
Schlichenmaier, Martin
18
2003
Global deformations of the Witt algebra of Krichever-Novikov type. Zbl 1052.17011
Fialowski, Alice; Schlichenmaier, Martin
16
2003
Higher genus affine algebras of Krichever-Novikov type. Zbl 1115.17010
Schlichenmaier, Martin
14
2003
Identification of Berezin-Toeplitz deformation quantization. Zbl 0997.53067
Karabegov, A. V.; Schlichenmaier, M.
45
2001
Almost-Kähler deformation quantization. Zbl 1044.53061
Karabegov, Alexander V.; Schlichenmaier, Martin
13
2001
Berezin-Toeplitz quantization and Berezin transform. Zbl 0983.81035
Schlichenmaier, Martin
11
2001
Quantization of singular symplectic quotients. Based on a research-in-pairs workshop, Oberwolfach, Germany, August 2–6, 1999. Zbl 0970.00023
Landsman, N. P.; Pflaum, M.; Schlichenmaier, M.
5
2001
Deformation quantization of compact Kähler manifolds by Berezin-Toeplitz quantization. Zbl 1028.53085
Schlichenmaier, Martin
28
2000
Coherent state embeddings, polar divisors and Cauchy formulas. Zbl 1002.81027
Berceanu, Stefan; Schlichenmaier, Martin
11
2000
Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras. Zbl 0943.17019
Schlichenmaier, M.; Sheinman, O. K.
15
1999
The Sugawara construction and Casimir operators for Krichever-Novikov algebras. Zbl 1006.17503
Schlichenmaier, M.; Sheinman, O. K.
14
1998
Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits. Zbl 0813.58026
Bordemann, Martin; Meinrenken, Eckhard; Schlichenmaier, Martin
116
1994
Degenerations of generalized Krichever-Novikov algebras on tori. Zbl 0806.17024
Schlichenmaier, Martin
9
1993
String branchings on complex tori and algebraic representations of generalized Krichever-Novikov algebras. Zbl 0774.17027
Ruffing, Andreas; Deck, Thomas; Schlichenmaier, Martin
5
1992
\(gl(\infty{})\) and geometric quantization. Zbl 0735.58020
Bordemann, Martin; Hoppe, Jens; Schaller, Peter; Schlichenmaier, Martin
19
1991
Krichever-Novikov algebras for more than two points. Zbl 0691.30037
Schlichenmaier, Martin
30
1990
Central extensions and semi-infinite wedge representations of Krichever- Novikov algebras for more than two points. Zbl 0703.30039
Schlichenmaier, Martin
18
1990
Krichever-Novikov algebras for more than two points: explicit generators. Zbl 0703.30038
Schlichenmaier, Martin
17
1990
Verallgemeinerte Krichever-Novikov Algebren und deren Darstellungen. (Generalized Krichever-Novikov algebras and their representation). Zbl 0721.30031
Schlichenmaier, Martin
12
1990
An introduction to Riemann surfaces, algebraic curves and moduli spaces. Zbl 0683.14007
Schlichenmaier, Martin
18
1989
all top 5

Cited by 285 Authors

20 Schlichenmaier, Martin
12 Engliš, Miroslav
11 Sheĭnman, Oleg Karlovich
10 Cox, Ben Lewis
8 Polterovich, Leonid Viktorovich
8 Vacaru, Sergiu Ion
7 Barron, Tatyana
7 Ma, Xiaonan
7 Sako, Akifumi
6 Andersen, Jørgen Ellegaard
6 Bordemann, Martin
6 Fialowski, Alice
6 Le Floch, Yohann
6 Marinescu, George
6 Pelayo, Alvaro
6 Uribe, Alejandro
5 Ali, Syed Twareque
5 Berceanu, Stefan
5 Ioos, Louis
5 Waldmann, Stefan
5 Xu, Hao
4 Charles, Laurent
4 Hoppe, Jens
4 Isidro San Juan, José-Maria
4 Karabegov, Alexander V.
4 Makhlouf, Abdenacer
4 Umetsu, Hiroshi
4 Wagemann, Friedrich
3 Arnlind, Joakim
3 Borthwick, David
3 Bremner, Murray R.
3 Futorny, Vyacheslav M.
3 Hirota, Yuji
3 Neumaier, Nikolai
3 Paoletti, Roberto
3 Paul, Thierry
3 van de Ven, Christiaan J. F.
3 Zhao, Kaiming
2 Bauer, Wolfram
2 Beltiţă, Daniel
2 Billig, Yuly
2 Bismut, Jean-Michel
2 Carow-Watamura, Ursula
2 Coburn, Lewis A.
2 D’Andrea, Francesco
2 Deck, Thomas
2 Dullin, Holger R.
2 Galé, José E.
2 Gohara, Jumpei
2 Guo, Xiangqian
2 Hall, Brian C.
2 Hawkins, Eli
2 Jahn, Jiří
2 Jurisich, Elizabeth
2 Klimek, Slawomir
2 Kordyukov, Yuri A.
2 Krasil’shchik, Iosif Semënovich
2 Landsman, Nicolaas P.
2 Lesniewski, Andrzej
2 Lü, Rencai
2 Lyakhovich, Simon L.
2 Maharana, Jnanadeva
2 Martins, Renato Alessandro
2 Moretti, Valter
2 Morozov, Oleg I.
2 Nilsson, Jonathan
2 Pei, Yufeng
2 Sämann, Christian
2 Sengupta, Gautam
2 Serajelahi, Baran
2 Sharapov, Alexey A.
2 Suzuki, Toshiya
2 Szabo, Richard J.
2 Tang, Xiang
2 Terwilliger, Paul M.
2 Trzetrzelewski, Maciej
2 Vojčák, Petr
2 Vũ Ngọc, San
2 Watamura, Satoshi
2 Worthington, Joachim
1 Airault, Hélène
1 Alexandrov, Alexander Sergeevich
1 Allen, Paul T.
1 Ammann, Bernd Eberhard
1 Ammar, Faouzi Ben
1 Anastasiei, Mihai
1 Ancochea Bermúdez, José María
1 Andersson, Andreas
1 Andersson, Lars Åke
1 Anselmo, F.
1 Anzaldo-Meneses, Alfonso
1 Ashwinkumar, Meer
1 Băleanu, Dumitru I.
1 Bandelloni, Giuseppe
1 Baran, Hynek
1 Bech, Mads Aunskjær
1 Beiser, Svea
1 Belot, Gordon
1 Ben Halima, Majdi
1 Blaschke, Petr
...and 185 more Authors
all top 5

Cited in 99 Serials

32 Journal of Mathematical Physics
26 Journal of Geometry and Physics
21 Letters in Mathematical Physics
20 Communications in Mathematical Physics
10 Reviews in Mathematical Physics
6 International Journal of Modern Physics A
5 Proceedings of the American Mathematical Society
5 The Journal of Geometric Analysis
5 International Journal of Geometric Methods in Modern Physics
5 Proceedings of the Steklov Institute of Mathematics
4 International Journal of Theoretical Physics
4 Journal of Mathematical Analysis and Applications
4 Nuclear Physics. B
4 Theoretical and Mathematical Physics
4 Advances in Mathematics
4 Journal of Algebra
4 Journal of Functional Analysis
4 Transactions of the American Mathematical Society
3 Reports on Mathematical Physics
3 Geometriae Dedicata
3 Journal für die Reine und Angewandte Mathematik
3 Communications in Contemporary Mathematics
3 Analysis and Mathematical Physics
2 Modern Physics Letters A
2 Communications in Algebra
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Duke Mathematical Journal
2 Functional Analysis and its Applications
2 Integral Equations and Operator Theory
2 Inventiones Mathematicae
2 Mathematische Zeitschrift
2 Communications in Partial Differential Equations
2 Journal of Mathematical Sciences (New York)
2 Doklady Mathematics
2 Journal of High Energy Physics
2 Journal of Nonlinear Mathematical Physics
2 Foundations of Computational Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 General Relativity and Gravitation
1 Israel Journal of Mathematics
1 Journal of Fluid Mechanics
1 Linear and Multilinear Algebra
1 Physics Letters. A
1 Physics Reports
1 Reviews of Modern Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Glasgow Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Equations
1 Journal of Pure and Applied Algebra
1 Mathematische Annalen
1 Osaka Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Tokyo Journal of Mathematics
1 Advances in Applied Mathematics
1 Annals of Global Analysis and Geometry
1 Physica D
1 Asymptotic Analysis
1 International Journal of Mathematics
1 Linear Algebra and its Applications
1 SIAM Journal on Applied Mathematics
1 Indagationes Mathematicae. New Series
1 Journal of Nonlinear Science
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 St. Petersburg Mathematical Journal
1 Advances in Applied Clifford Algebras
1 Journal of Lie Theory
1 Bulletin des Sciences Mathématiques
1 Integral Transforms and Special Functions
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Electronic Research Announcements of the American Mathematical Society
1 The Journal of Fourier Analysis and Applications
1 European Mathematical Society Newsletter
1 Transformation Groups
1 The Ramanujan Journal
1 Mathematical Physics, Analysis and Geometry
1 Journal of Mathematical Fluid Mechanics
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Annales Henri Poincaré
1 Journal of the Institute of Mathematics of Jussieu
1 Complex Variables and Elliptic Equations
1 Complex Analysis and Operator Theory
1 Journal of Noncommutative Geometry
1 Journal of Physics A: Mathematical and Theoretical
1 Japanese Journal of Mathematics. 3rd Series
1 São Paulo Journal of Mathematical Sciences
1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
1 Advances in Mathematical Physics
1 Quantum Topology
1 Journal of Singularities
1 Afrika Matematika
1 Complex Manifolds
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Applied and Computational Topology
1 Annales Henri Lebesgue
all top 5

Cited in 42 Fields

139 Quantum theory (81-XX)
120 Differential geometry (53-XX)
71 Nonassociative rings and algebras (17-XX)
54 Several complex variables and analytic spaces (32-XX)
45 Operator theory (47-XX)
41 Algebraic geometry (14-XX)
26 Global analysis, analysis on manifolds (58-XX)
22 Dynamical systems and ergodic theory (37-XX)
22 Functional analysis (46-XX)
21 Functions of a complex variable (30-XX)
16 Partial differential equations (35-XX)
16 Relativity and gravitational theory (83-XX)
10 Topological groups, Lie groups (22-XX)
10 Manifolds and cell complexes (57-XX)
7 Special functions (33-XX)
6 Number theory (11-XX)
6 Associative rings and algebras (16-XX)
5 Mechanics of particles and systems (70-XX)
3 Category theory; homological algebra (18-XX)
3 Approximations and expansions (41-XX)
3 Abstract harmonic analysis (43-XX)
3 Numerical analysis (65-XX)
3 Fluid mechanics (76-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 \(K\)-theory (19-XX)
2 Potential theory (31-XX)
2 Ordinary differential equations (34-XX)
2 Integral transforms, operational calculus (44-XX)
2 Algebraic topology (55-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Information and communication theory, circuits (94-XX)
1 General algebraic systems (08-XX)
1 Commutative algebra (13-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)

Citations by Year