# zbMATH — the first resource for mathematics

## Advanced Series in Mathematical Physics

 Short Title: Adv. Ser. Math. Phys. Publisher: World Scientific, Hackensack, NJ ISSN: 2010-2801 Online: http://www.worldscientific.com/series/asmp Comments: Book series; Indexed cover-to-cover
 Documents Indexed: 27 Publications (since 1987)
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#### Latest Volumes

 29 (2013) 28 (2009) 27 (2005) 26 (2003) 25 (1996) 24 (1997) 23 (1996) 22 (1995) 21 (1995) 20 (1994) 19 (1994) 18 (1994) 17 (1994) 16 (1992) 15 (1992) 14 (1992) 13 (1992) 12 (1991) 11 (1990) 10 (1990) 9 (1989) 7 (1989) 5 (1989) 4 (1988) 3 (1988) 2 (1987) 1 (1987)
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#### Authors / Editors

 3 Kac, Victor G. 2 Dickey, Leonid A. 2 Ge, Molin 2 Jimbo, Michio 2 Raina, Ashok K. 2 Strocchi, Franco 2 Yang, Chen Ning (Frank) 1 Aizenman, Michael 1 Araki, Huzihiro 1 Baadhio, Randy A. 1 Bouwknegt, Peter G. 1 Cherednik, Ivan V. 1 Drouffe, Jean-Michel 1 Eguchi, Tohru 1 Essler, Fabian H. L. 1 Fröhlich, Jürg Martin 1 Gauduchon, Paul 1 Goddard, Peter 1 Kohno, Toshitake 1 Korepin, Vladimir E. 1 Kupershmidt, Boris A. 1 Olive, David I. 1 Rozhkovskaya, Natasha 1 Schoutens, Kareljan 1 Shapere, Alfred D. 1 ’t Hooft, Gerard 1 Tsuchiya, Akihiro 1 Varchenko, Alexander Nikolaevich 1 Wilczek, Frank Anthony 1 Yau, Shing-Tung 1 Zuber, Jean-Bernard
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#### Fields

 16 Quantum theory (81-XX) 12 General and overarching topics; collections (00-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Nonassociative rings and algebras (17-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Partial differential equations (35-XX) 4 Differential geometry (53-XX) 4 Manifolds and cell complexes (57-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 2 Operator theory (47-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

23 Publications have been cited 1,173 times in 1,148 Documents Cited by Year
Bombay lectures on highest weight representations of infinite dimensional Lie algebras. Zbl 0668.17012
Kac, V. G.; Raina, A. K.
1987
Form factors in completely integrable models of quantum field theory. Zbl 0788.46077
Smirnov, F. A.
1992
Soliton equations and Hamiltonian systems. Zbl 0753.35075
Dickey, L. A.
1991
Geometric phases in physics. Zbl 0914.00014
Wilczek, Frank (ed.); Shapere, Alfred (ed.)
1989
Soliton equations and Hamiltonian systems. 2nd ed. Zbl 1140.35012
Dickey, L. A.
2003
Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups. Zbl 0951.33001
Varchenko, A.
1995
Braid group, knot theory and statistical mechanics. Zbl 0716.00010
Yang, C. N. (ed.); Ge, M. L. (ed.)
1989
Yang-Baxter equation in integrable systems. Zbl 0726.58005
Jimbo, Michio (ed.)
1990
Bombay lectures on highest weight representations of infinite dimensional Lie algebras. 2nd ed. Zbl 1294.17021
Kac, Victor G.; Raina, Ashok K.; Rozhkovskaya, Natasha
2013
Exactly solvable models of strongly correlated electrons. Zbl 1066.82506
Korepin, Vladimir E.; Eßler, Fabian H. L.
1994
The variational principles of dynamics. Zbl 0917.58001
Kupershmidt, Boris A.
1992
Under the spell of the gauge principle. Zbl 0881.53063
’t Hooft, Gerard
1994
Basic methods of soliton theory. Zbl 0909.35002
Cherednik, I. V.
1996
An introduction to the mathematical structure of quantum mechanics. A short course for mathematicans. Zbl 1090.81001
Strocchi, Franco
2005
$$\mathcal W$$-symmetry. Zbl 0921.17008
Bouwknegt, P. (ed.); Schoutens, K. (ed.)
1995
Infinite dimensional Lie algebras and groups. Proceedings of the conference, held at CIRM, Luminy, Marseille, France, July 4-8, 1988. Zbl 0741.00064
Kac, Victor G. (ed.)
1989
Kac-Moody and Virasoro algebras. A reprint volume for physicists. Zbl 0661.17001
Goddard, Peter (ed.); Olive, David (ed.)
1988
Mathematical aspects of string theory. Proceedings of the Conference held at University of California, San Diego, July 21 - August 1, 1986. Zbl 0651.00012
Yau, S. T. (ed.)
1987
Non-perturbative quantum field theory. Mathematical aspects and applications. Selected papers of Jürg Fröhlich. Zbl 0753.01018
Fröhlich, Jürg
1992
An introduction to the mathematical structure of quantum mechanics. A short course for mathematicans. 2nd ed. Zbl 1155.81004
Strocchi, Franco
2009
Braid group, knot theory and statistical mechanics II. Zbl 0798.00007
Yang, Chen Ning (ed.); Ge, Mo-Lin (ed.)
1994
Quantum topology and global anomalies. Zbl 0914.58044
1996
New developments in the theory of knots. Zbl 0727.57001
Kohno, Toshitake (ed.)
1990
Bombay lectures on highest weight representations of infinite dimensional Lie algebras. 2nd ed. Zbl 1294.17021
Kac, Victor G.; Raina, Ashok K.; Rozhkovskaya, Natasha
2013
An introduction to the mathematical structure of quantum mechanics. A short course for mathematicans. 2nd ed. Zbl 1155.81004
Strocchi, Franco
2009
An introduction to the mathematical structure of quantum mechanics. A short course for mathematicans. Zbl 1090.81001
Strocchi, Franco
2005
Soliton equations and Hamiltonian systems. 2nd ed. Zbl 1140.35012
Dickey, L. A.
2003
Basic methods of soliton theory. Zbl 0909.35002
Cherednik, I. V.
1996
Quantum topology and global anomalies. Zbl 0914.58044
1996
Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups. Zbl 0951.33001
Varchenko, A.
1995
$$\mathcal W$$-symmetry. Zbl 0921.17008
Bouwknegt, P.; Schoutens, K.
1995
Exactly solvable models of strongly correlated electrons. Zbl 1066.82506
Korepin, Vladimir E.; Eßler, Fabian H. L.
1994
Under the spell of the gauge principle. Zbl 0881.53063
&rsquo;t Hooft, Gerard
1994
Braid group, knot theory and statistical mechanics II. Zbl 0798.00007
Yang, Chen Ning; Ge, Mo-Lin
1994
Form factors in completely integrable models of quantum field theory. Zbl 0788.46077
Smirnov, F. A.
1992
The variational principles of dynamics. Zbl 0917.58001
Kupershmidt, Boris A.
1992
Non-perturbative quantum field theory. Mathematical aspects and applications. Selected papers of Jürg Fröhlich. Zbl 0753.01018
Fröhlich, Jürg
1992
Soliton equations and Hamiltonian systems. Zbl 0753.35075
Dickey, L. A.
1991
Yang-Baxter equation in integrable systems. Zbl 0726.58005
Jimbo, Michio
1990
New developments in the theory of knots. Zbl 0727.57001
Kohno, Toshitake
1990
Geometric phases in physics. Zbl 0914.00014
Wilczek, Frank; Shapere, Alfred
1989
Braid group, knot theory and statistical mechanics. Zbl 0716.00010
Yang, C. N.; Ge, M. L.
1989
Infinite dimensional Lie algebras and groups. Proceedings of the conference, held at CIRM, Luminy, Marseille, France, July 4-8, 1988. Zbl 0741.00064
Kac, Victor G.
1989
Kac-Moody and Virasoro algebras. A reprint volume for physicists. Zbl 0661.17001
Goddard, Peter; Olive, David
1988
Bombay lectures on highest weight representations of infinite dimensional Lie algebras. Zbl 0668.17012
Kac, V. G.; Raina, A. K.
1987
Mathematical aspects of string theory. Proceedings of the Conference held at University of California, San Diego, July 21 - August 1, 1986. Zbl 0651.00012
Yau, S. T.
1987
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#### Cited by 1,235 Authors

 27 Zhao, Kaiming 15 Varchenko, Alexander Nikolaevich 14 Guo, Xiangqian 14 He, Jingsong 14 Xue, Kang 12 Delfino, Gesualdo 12 van de Leur, Johan W. 11 Castro-Alvaredo, Olalla A. 10 Bajnok, Zoltán 10 Cheng, Jipeng 10 Ding, Jiu 10 Kac, Victor G. 10 Kupershmidt, Boris A. 10 Lü, Rencai 9 Adler, Mark 9 Babujian, Hratchya M. 9 Gesztesy, Fritz 9 Karowski, Michael 9 Miwa, Tetsuji 9 Niedermaier, Max R. 9 Tanimoto, Yoh 9 van Moerbeke, Pierre 8 Dong, Chongying 8 Doyon, Benjamin 8 LeClair, André 8 Li, Chuanzhong 8 Lukyanov, Sergei L. 8 Mussardo, Giuseppe 8 Saleur, Hubert 8 Zeng, Yunbo 7 Balog, János 7 Chen, Jinbing 7 Cheng, Yi 7 Foerster, Angela 7 Fring, Andreas 7 Jiang, Cuipo 7 Jimbo, Michio 7 Lechner, Gandalf 7 Pakuliak, Stanislav Z. 7 Su, Yucai 7 Takács, Gábor 7 Wang, Gangcheng 6 Bakalov, Bojko 6 Bakke, Knut 6 Buryak, Alexandr Y. 6 Dickey, Leonid A. 6 El Naschie, Mohamed Saladin 6 Ge, Molin 6 Iwai, Toshihiro 6 Lam, Ching Hung 6 Liu, Xuewen 6 Tan, Shao Bin 6 Tarasov, Vitaly Olegovich 6 Tian, Kelei 6 Yamauchi, Hiroshi 5 Anguelova, Iana I. 5 Arakawa, Tomoyuki 5 Cohen, Daniel C. 5 Falqui, Gregorio 5 Gatto, Letterio 5 Lin, Runliang 5 Liu, Genqiang 5 Moretti, Valter 5 Palev, Tchavdar D. 5 Ramos, Eduardo 5 Reyes, Enrique G. 5 Schechtman, Vadim 5 Schlichenmaier, Martin 5 Shadrin, Sergey V. 5 Sun, Chunfang 5 Terras, Véronique 5 Weiner, Mihály 5 Yang, Di 5 Yao, Yuqin 5 Zhilinskií, Boris I. 4 Cadamuro, Daniela 4 Carpi, Sebastiano 4 Caudrelier, Vincent 4 Chen, Huizhan 4 De Sole, Alberto 4 Derkachëv, Sergeĭ Èduardovich 4 Frenkel, Igor B. 4 Geng, Lumin 4 Grinza, Paolo 4 Horozov, Emil Ivanov 4 Horváth, Dávid X. 4 Kapranov, Mikhail M. 4 Kozlowski, Karol Kajetan 4 Li, Maohua 4 Ma, Wen-Xiu 4 Magri, Franco 4 Maillet, Jean-Michel 4 Mazorchuk, Volodymyr 4 Mehrafarin, Mohammad 4 Milas, Antun 4 Niccoli, Giuliano 4 Pedroni, Marco 4 Plaza Martín, Francisco José 4 Popowicz, Ziemowit 4 Ragoucy, Eric ...and 1,135 more Authors
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#### Cited in 194 Journals

 151 Nuclear Physics. B 88 Communications in Mathematical Physics 53 Journal of Mathematical Physics 53 Journal of High Energy Physics 42 Physics Letters. A 37 Journal of Algebra 35 Theoretical and Mathematical Physics 32 Letters in Mathematical Physics 29 Journal of Nonlinear Mathematical Physics 27 Journal of Geometry and Physics 23 Advances in Mathematics 23 Annals of Physics 20 Communications in Algebra 19 Physics Letters. B 16 Chaos, Solitons and Fractals 15 Transactions of the American Mathematical Society 12 International Journal of Theoretical Physics 11 Journal of Pure and Applied Algebra 11 Proceedings of the American Mathematical Society 11 Journal of Statistical Mechanics: Theory and Experiment 10 Reports on Mathematical Physics 10 Journal of Mathematical Sciences (New York) 9 Journal of Statistical Physics 9 Duke Mathematical Journal 9 International Journal of Geometric Methods in Modern Physics 8 Modern Physics Letters A 8 Journal of Mathematical Analysis and Applications 8 Acta Applicandae Mathematicae 8 Algebras and Representation Theory 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Annales de l’Institut Henri Poincaré. Physique Théorique 7 Physical Review Letters 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Science China. Mathematics 6 Inventiones Mathematicae 6 Mathematische Zeitschrift 6 Physica D 6 Selecta Mathematica. New Series 6 Quantum Information Processing 6 Journal of Physics A: Mathematical and Theoretical 6 Advances in Mathematical Physics 5 Annales de l’Institut Fourier 5 Applied Mathematics and Computation 5 Applied Mathematics Letters 5 Communications in Nonlinear Science and Numerical Simulation 5 Annales Henri Poincaré 5 Journal of Algebra and its Applications 4 International Journal of Modern Physics A 4 Linear and Multilinear Algebra 4 Reviews in Mathematical Physics 4 Compositio Mathematica 4 Transformation Groups 4 Foundations of Physics 4 Japanese Journal of Mathematics. 3rd Series 4 Physical Review A, Third Series 3 Modern Physics Letters B 3 Computers & Mathematics with Applications 3 Physica A 3 Physics Reports 3 Arkiv för Matematik 3 Acta Mathematica 3 Journal für die Reine und Angewandte Mathematik 3 Studies in Applied Mathematics 3 Chinese Annals of Mathematics. Series B 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Algebraic Combinatorics 3 Nuclear Physics, B, Proceedings Supplements 3 St. Petersburg Mathematical Journal 3 Bulletin des Sciences Mathématiques 3 Annalen der Physik. 8th Series 3 Acta Mathematica Sinica. English Series 3 Communications in Contemporary Mathematics 3 Proceedings of the Steklov Institute of Mathematics 2 International Journal of Modern Physics B 2 Computer Physics Communications 2 Nonlinearity 2 Reviews of Modern Physics 2 Russian Mathematical Surveys 2 Functional Analysis and its Applications 2 Publications Mathématiques 2 Journal of Computational and Applied Mathematics 2 Journal of Functional Analysis 2 Mathematics and Computers in Simulation 2 Mathematische Nachrichten 2 Michigan Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Transactions of the Moscow Mathematical Society 2 European Journal of Combinatorics 2 Advances in Applied Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of the American Mathematical Society 2 Science in China. Series A 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 International Journal of Modern Physics D 2 Russian Journal of Mathematical Physics 2 Complexity 2 Journal of Mathematical Chemistry 2 Nonlinear Dynamics 2 Mathematical Physics, Analysis and Geometry 2 Annals of Mathematics. Second Series ...and 94 more Journals
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#### Cited in 52 Fields

 541 Quantum theory (81-XX) 350 Nonassociative rings and algebras (17-XX) 274 Dynamical systems and ergodic theory (37-XX) 242 Partial differential equations (35-XX) 150 Statistical mechanics, structure of matter (82-XX) 78 Algebraic geometry (14-XX) 55 Relativity and gravitational theory (83-XX) 47 Differential geometry (53-XX) 46 Associative rings and algebras (16-XX) 45 Global analysis, analysis on manifolds (58-XX) 37 Functional analysis (46-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 34 Several complex variables and analytic spaces (32-XX) 32 Ordinary differential equations (34-XX) 31 Special functions (33-XX) 28 Mechanics of particles and systems (70-XX) 27 Group theory and generalizations (20-XX) 26 Combinatorics (05-XX) 22 Topological groups, Lie groups (22-XX) 17 Number theory (11-XX) 17 Difference and functional equations (39-XX) 17 Manifolds and cell complexes (57-XX) 16 Operator theory (47-XX) 15 Functions of a complex variable (30-XX) 11 Convex and discrete geometry (52-XX) 11 Numerical analysis (65-XX) 11 Fluid mechanics (76-XX) 9 Probability theory and stochastic processes (60-XX) 8 Algebraic topology (55-XX) 8 Optics, electromagnetic theory (78-XX) 7 Commutative algebra (13-XX) 7 Category theory; homological algebra (18-XX) 5 General and overarching topics; collections (00-XX) 5 Information and communication theory, circuits (94-XX) 3 Geometry (51-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 $$K$$-theory (19-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX)