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## Kawahigashi, Yasuyuki

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 Author ID: kawahigashi.yasuyuki Published as: Kawahigashi, Yasuyuki; Kawahigashi, Y. Homepage: https://www.ms.u-tokyo.ac.jp/~yasuyuki/index-e.html External Links: MGP · Wikidata
 Documents Indexed: 78 Publications since 1989, including 5 Books Reviewing Activity: 4 Reviews
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#### Co-Authors

 40 single-authored 15 Longo, Roberto 10 Evans, David E. 6 Carpi, Sebastiano 3 Bischoff, Marcel 3 Böckenhauer, Jens 3 Rehren, Karl-Henning 2 Bisch, Dietmar H. 2 Gannon, Terry 2 Hillier, Robin 2 Izumi, Masaki 2 Jones, Vaughan Frederick Randal 2 Takesaki, Masamichi 1 Araki, Huzihiro 1 Buchholz, Detlev 1 Fredenhagen, Klaus 1 Hiroki, Matui 1 Kosaki, Hideki 1 Kotani, Motoko 1 Müger, Michael 1 Ogata, Yoshiko 1 Ostrik, Victor Valentinovich 1 Ozawa, Narutaka 1 Pennig, Ulrich 1 Pérez-García, David 1 Ruskai, Mary Beth 1 Sato, Nobuya 1 Schweigert, Christoph 1 Størmer, Erling 1 Sutherland, Colin E. 1 Suthichitranont, Noppakhun 1 Wakui, Michihisa 1 Weiner, Mihály 1 Xu, Feng
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#### Serials

 14 Communications in Mathematical Physics 4 Letters in Mathematical Physics 4 Journal of Functional Analysis 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 IMRN. International Mathematics Research Notices 3 Oberwolfach Reports 2 Journal of Mathematical Physics 2 Advances in Mathematics 2 Pacific Journal of Mathematics 2 Journal of Operator Theory 2 International Journal of Mathematics 1 International Journal of Modern Physics B 1 Acta Mathematica 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Memoirs of the American Mathematical Society 1 Sūgaku 1 Documenta Mathematica 1 RIMS Kokyuroku 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Advanced Studies in Pure Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 SpringerBriefs in Mathematical Physics 1 Oxford Mathematical Monographs
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#### Fields

 69 Functional analysis (46-XX) 57 Quantum theory (81-XX) 13 Nonassociative rings and algebras (17-XX) 11 Category theory; homological algebra (18-XX) 6 General and overarching topics; collections (00-XX) 6 Manifolds and cell complexes (57-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Topological groups, Lie groups (22-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

56 Publications have been cited 854 times in 425 Documents Cited by Year
Quantum symmetries on operator algebras. Zbl 0924.46054
Evans, David E.; Kawahigashi, Yasuyuki
1998
Multi-interval subfactors and modularity of representations in conformal field theory. Zbl 1016.81031
Kawahigashi, Yasuyuki; Longo, Roberto; Müger, Michael
2001
Classification of local conformal nets. Case $$c < 1$$. Zbl 1083.46038
Kawahigashi, Yasuyuki; Longo, Roberto
2004
On $$\alpha$$-induction, chiral generators and modular invariants for subfactors. Zbl 0948.46048
Böckenhauer, Jens; Evans, David E.; Kawahigashi, Yasuyuki
1999
Chiral structure of modular invariants for subfactors. Zbl 0988.46047
Böckenhauer, Jens; Evans, David E.; Kawahigashi, Yasuyuki
2000
On flatness of Ocneanu’s connections of the Dynkin diagrams and classification of subfactors. Zbl 0829.46048
Kawahigashi, Yasuyuki
1995
From vertex operator algebras to conformal nets and back. Zbl 1434.17001
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto; Weiner, Mihály
2018
Classification of two-dimensional local conformal nets with $$c<1$$ and 2-cohomology vanishing for tensor categories. Zbl 1043.81063
Kawahigashi, Yasuyuki; Longo, Roberto
2004
The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions. Zbl 0781.46047
Kawahigashi, Y.; Sutherland, C. E.; Takesaki, M.
1992
Tensor categories and endomorphisms of von Neumann algebras. With applications to quantum field theory. Zbl 1328.46047
Bischoff, Marcel; Kawahigashi, Yasuyuki; Longo, Roberto; Rehren, Karl-Henning
2015
Structure and classification of superconformal nets. Zbl 1154.81023
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto
2008
Local conformal nets arising from framed vertex operator algebras. Zbl 1105.81052
Kawahigashi, Yasuyuki; Longo, Roberto
2006
Orbifold subfactors from Hecke algebras. Zbl 0805.46077
Evans, David E.; Kawahigashi, Yasuyuki
1994
Classification of subfactors with the principal graph $$D^{(1)}_ n$$. Zbl 0791.46039
Izumi, Masaki; Kawahigashi, Yasuyuki
1993
Longo-Rehren subfactors arising from $$\alpha$$-induction. Zbl 1090.46047
Böckenhauer, Jens; Evans, David E.; Kawahigashi, Yasuyuki
2001
On Ocneanu’s theory of asymptotic inclusions for subfactors, topological quantum field theories and quantum doubles. Zbl 0820.46059
Evans, David E.; Kawahigashi, Yasuyuki
1995
Classification of paragroup actions on subfactors. Zbl 0837.46046
Kawahigashi, Yasuyuki
1995
Compact Abelian group actions on injective factors. Zbl 0784.46049
Kawahigashi, Yasuyuki; Takesaki, Masamichi
1992
Noncommutative spectral invariants and black hole entropy. Zbl 1081.58018
Kawahigashi, Yasuyuki; Longo, Roberto
2005
Conformal field theory, tensor categories and operator algebras. Zbl 1328.81194
Kawahigashi, Yasuyuki
2015
Orbifold subfactors from Hecke algebras. II: Quantum doubles and braiding. Zbl 0910.46043
Evans, David E.; Kawahigashi, Yasuyuki
1998
Centrally trivial automorphisms and an analogue of Connes’ $$\chi(M)$$ for subfactors. Zbl 0830.46051
Kawahigashi, Yasuyuki
1993
Spectral triples and the super-Virasoro algebra. Zbl 1197.17015
Carpi, Sebastiano; Hillier, Robin; Kawahigashi, Yasuyuki; Longo, Roberto
2010
Phase boundaries in algebraic conformal QFT. Zbl 1355.81101
Bischoff, Marcel; Kawahigashi, Yasuyuki; Longo, Roberto; Rehren, Karl-Henning
2016
Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case. Zbl 1337.81103
Bischoff, Marcel; Kawahigashi, Yasuyuki; Longo, Roberto
2015
Automorphisms commuting with a conditional expectation onto a subfactor with finite index. Zbl 0845.46032
Kawahigashi, Yasuyuki
1992
From subfactors to 3-dimensional topological quantum field theories and back. A detailed account of Ocneanu’s theory. Zbl 0844.57014
Evans, David E.; Kawahigashi, Yasuyuki
1995
One-parameter automorphism groups of the injective $$II_ 1$$ factor arising from the irrational rotation $$C^*$$-algebra. Zbl 0741.46035
Kawahigashi, Yasuyuki
1990
$$N=2$$ superconformal nets. Zbl 1318.81057
Carpi, Sebastiano; Hillier, Robin; Kawahigashi, Yasuyuki; Longo, Roberto; Xu, Feng
2015
Generalized Longo-Rehren subfactors and $$\alpha$$-induction. Zbl 1038.46052
Kawahigashi, Yasuyuki
2002
One-parameter automorphism groups of the hyperfinite type II$$_ 1$$ factor. Zbl 0813.46059
Kawahigashi, Yasuyuki
1991
The classification of non-local chiral CFT with $$c < 1$$. Zbl 1131.81031
Kawahigashi, Yasuyuki; Longo, Roberto; Pennig, Ulrich; Rehren, Karl-Henning
2007
Centrally ergodic one-parameter automorphism groups on semifinite injective von Neumann algebras. Zbl 0685.46039
Kawahigashi, Yasuyuki
1989
Cohomology of actions of discrete groups on factors of type $$II_ 1$$. Zbl 0692.46060
Kawahigashi, Yasuyuki
1991
Conformal field theory, vertex operator algebras and operator algebras. Zbl 1447.81179
Kawahigashi, Yasuyuki
2018
Subfactors and conformal field theory. Zbl 0848.46039
Evans, David E.; Kawahigashi, Yasuyuki
1993
The $$E_ 7$$ commuting squares produce $$D_{10}$$ as principal graph. Zbl 0814.46054
Evans, David E.; Kawahigashi, Yasuyuki
1994
$$(2+1)$$-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants. Zbl 1092.57021
Kawahigashi, Yasuyuki; Sato, Nobuya; Wakui, Michihisa
2005
Classification of approximately inner automorphisms of subfactors. Zbl 0879.46029
Kawahigashi, Yasuyuki
1997
One-parameter automorphism groups of the injective factor of type $$II_ 1$$ with Connes spectrum zero. Zbl 0765.46051
Kawahigashi, Yasuyuki
1991
A remark on gapped domain walls between topological phases. Zbl 1405.81046
Kawahigashi, Yasuyuki
2015
Quantum doubles and orbifold subfactors. Zbl 0907.46048
Kawahigashi, Yasuyuki
1997
Quantum Galois correspondence for subfactors. Zbl 1030.46079
Kawahigashi, Yasuyuki
1999
Classification of operator algebraic conformal field theories. Zbl 1053.81040
Kawahigashi, Yasuyuki
2003
A relative tensor product of subfactors over a modular tensor category. Zbl 1386.81134
Kawahigashi, Yasuyuki
2017
How to add a boundary condition. Zbl 1270.81197
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto
2013
Classification of operators algebraic conformal field theories in dimensions one and two. Zbl 1221.81124
Kawahigashi, Yasuyuki
2005
Conformal field theory and operator algebras. Zbl 1175.81167
Kawahigashi, Yasuyuki
2009
On the Jones index values for conformal subnets. Zbl 1190.81079
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto
2010
Paragroups and their actions on subfactors. Zbl 0942.46038
Kawahigashi, Yasuyuki
1994
Exactly solvable orbifold models and subfactors. Zbl 0802.46074
Kawahigashi, Yasuyuki
1993
Braiding and extensions of endomorphisms of subfactors. Zbl 1016.46039
Kawahigashi, Yasuyuki
2001
Conformal quantum field theory and subfactors. Zbl 1039.46048
Kawahigashi, Yasuyuki
2003
Topological quantum field theories and operator algebras. Zbl 1067.81118
Kawahigashi, Y.
2005
Construction of holomorphic local conformal framed nets. Zbl 1304.81140
Kawahigashi, Yasuyuki; Suthichitranont, Noppakhun
2014
Normal states of type III factors. Zbl 1301.46037
Kawahigashi, Yasuyuki; Ogata, Yoshiko; Størmer, Erling
2014
From vertex operator algebras to conformal nets and back. Zbl 1434.17001
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto; Weiner, Mihály
2018
Conformal field theory, vertex operator algebras and operator algebras. Zbl 1447.81179
Kawahigashi, Yasuyuki
2018
A relative tensor product of subfactors over a modular tensor category. Zbl 1386.81134
Kawahigashi, Yasuyuki
2017
Phase boundaries in algebraic conformal QFT. Zbl 1355.81101
Bischoff, Marcel; Kawahigashi, Yasuyuki; Longo, Roberto; Rehren, Karl-Henning
2016
Tensor categories and endomorphisms of von Neumann algebras. With applications to quantum field theory. Zbl 1328.46047
Bischoff, Marcel; Kawahigashi, Yasuyuki; Longo, Roberto; Rehren, Karl-Henning
2015
Conformal field theory, tensor categories and operator algebras. Zbl 1328.81194
Kawahigashi, Yasuyuki
2015
Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case. Zbl 1337.81103
Bischoff, Marcel; Kawahigashi, Yasuyuki; Longo, Roberto
2015
$$N=2$$ superconformal nets. Zbl 1318.81057
Carpi, Sebastiano; Hillier, Robin; Kawahigashi, Yasuyuki; Longo, Roberto; Xu, Feng
2015
A remark on gapped domain walls between topological phases. Zbl 1405.81046
Kawahigashi, Yasuyuki
2015
Construction of holomorphic local conformal framed nets. Zbl 1304.81140
Kawahigashi, Yasuyuki; Suthichitranont, Noppakhun
2014
Normal states of type III factors. Zbl 1301.46037
Kawahigashi, Yasuyuki; Ogata, Yoshiko; Størmer, Erling
2014
How to add a boundary condition. Zbl 1270.81197
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto
2013
Spectral triples and the super-Virasoro algebra. Zbl 1197.17015
Carpi, Sebastiano; Hillier, Robin; Kawahigashi, Yasuyuki; Longo, Roberto
2010
On the Jones index values for conformal subnets. Zbl 1190.81079
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto
2010
Conformal field theory and operator algebras. Zbl 1175.81167
Kawahigashi, Yasuyuki
2009
Structure and classification of superconformal nets. Zbl 1154.81023
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto
2008
The classification of non-local chiral CFT with $$c < 1$$. Zbl 1131.81031
Kawahigashi, Yasuyuki; Longo, Roberto; Pennig, Ulrich; Rehren, Karl-Henning
2007
Local conformal nets arising from framed vertex operator algebras. Zbl 1105.81052
Kawahigashi, Yasuyuki; Longo, Roberto
2006
Noncommutative spectral invariants and black hole entropy. Zbl 1081.58018
Kawahigashi, Yasuyuki; Longo, Roberto
2005
$$(2+1)$$-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants. Zbl 1092.57021
Kawahigashi, Yasuyuki; Sato, Nobuya; Wakui, Michihisa
2005
Classification of operators algebraic conformal field theories in dimensions one and two. Zbl 1221.81124
Kawahigashi, Yasuyuki
2005
Topological quantum field theories and operator algebras. Zbl 1067.81118
Kawahigashi, Y.
2005
Classification of local conformal nets. Case $$c < 1$$. Zbl 1083.46038
Kawahigashi, Yasuyuki; Longo, Roberto
2004
Classification of two-dimensional local conformal nets with $$c<1$$ and 2-cohomology vanishing for tensor categories. Zbl 1043.81063
Kawahigashi, Yasuyuki; Longo, Roberto
2004
Classification of operator algebraic conformal field theories. Zbl 1053.81040
Kawahigashi, Yasuyuki
2003
Conformal quantum field theory and subfactors. Zbl 1039.46048
Kawahigashi, Yasuyuki
2003
Generalized Longo-Rehren subfactors and $$\alpha$$-induction. Zbl 1038.46052
Kawahigashi, Yasuyuki
2002
Multi-interval subfactors and modularity of representations in conformal field theory. Zbl 1016.81031
Kawahigashi, Yasuyuki; Longo, Roberto; Müger, Michael
2001
Longo-Rehren subfactors arising from $$\alpha$$-induction. Zbl 1090.46047
Böckenhauer, Jens; Evans, David E.; Kawahigashi, Yasuyuki
2001
Braiding and extensions of endomorphisms of subfactors. Zbl 1016.46039
Kawahigashi, Yasuyuki
2001
Chiral structure of modular invariants for subfactors. Zbl 0988.46047
Böckenhauer, Jens; Evans, David E.; Kawahigashi, Yasuyuki
2000
On $$\alpha$$-induction, chiral generators and modular invariants for subfactors. Zbl 0948.46048
Böckenhauer, Jens; Evans, David E.; Kawahigashi, Yasuyuki
1999
Quantum Galois correspondence for subfactors. Zbl 1030.46079
Kawahigashi, Yasuyuki
1999
Quantum symmetries on operator algebras. Zbl 0924.46054
Evans, David E.; Kawahigashi, Yasuyuki
1998
Orbifold subfactors from Hecke algebras. II: Quantum doubles and braiding. Zbl 0910.46043
Evans, David E.; Kawahigashi, Yasuyuki
1998
Classification of approximately inner automorphisms of subfactors. Zbl 0879.46029
Kawahigashi, Yasuyuki
1997
Quantum doubles and orbifold subfactors. Zbl 0907.46048
Kawahigashi, Yasuyuki
1997
On flatness of Ocneanu’s connections of the Dynkin diagrams and classification of subfactors. Zbl 0829.46048
Kawahigashi, Yasuyuki
1995
On Ocneanu’s theory of asymptotic inclusions for subfactors, topological quantum field theories and quantum doubles. Zbl 0820.46059
Evans, David E.; Kawahigashi, Yasuyuki
1995
Classification of paragroup actions on subfactors. Zbl 0837.46046
Kawahigashi, Yasuyuki
1995
From subfactors to 3-dimensional topological quantum field theories and back. A detailed account of Ocneanu’s theory. Zbl 0844.57014
Evans, David E.; Kawahigashi, Yasuyuki
1995
Orbifold subfactors from Hecke algebras. Zbl 0805.46077
Evans, David E.; Kawahigashi, Yasuyuki
1994
The $$E_ 7$$ commuting squares produce $$D_{10}$$ as principal graph. Zbl 0814.46054
Evans, David E.; Kawahigashi, Yasuyuki
1994
Paragroups and their actions on subfactors. Zbl 0942.46038
Kawahigashi, Yasuyuki
1994
Classification of subfactors with the principal graph $$D^{(1)}_ n$$. Zbl 0791.46039
Izumi, Masaki; Kawahigashi, Yasuyuki
1993
Centrally trivial automorphisms and an analogue of Connes’ $$\chi(M)$$ for subfactors. Zbl 0830.46051
Kawahigashi, Yasuyuki
1993
Subfactors and conformal field theory. Zbl 0848.46039
Evans, David E.; Kawahigashi, Yasuyuki
1993
Exactly solvable orbifold models and subfactors. Zbl 0802.46074
Kawahigashi, Yasuyuki
1993
The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions. Zbl 0781.46047
Kawahigashi, Y.; Sutherland, C. E.; Takesaki, M.
1992
Compact Abelian group actions on injective factors. Zbl 0784.46049
Kawahigashi, Yasuyuki; Takesaki, Masamichi
1992
Automorphisms commuting with a conditional expectation onto a subfactor with finite index. Zbl 0845.46032
Kawahigashi, Yasuyuki
1992
One-parameter automorphism groups of the hyperfinite type II$$_ 1$$ factor. Zbl 0813.46059
Kawahigashi, Yasuyuki
1991
Cohomology of actions of discrete groups on factors of type $$II_ 1$$. Zbl 0692.46060
Kawahigashi, Yasuyuki
1991
One-parameter automorphism groups of the injective factor of type $$II_ 1$$ with Connes spectrum zero. Zbl 0765.46051
Kawahigashi, Yasuyuki
1991
One-parameter automorphism groups of the injective $$II_ 1$$ factor arising from the irrational rotation $$C^*$$-algebra. Zbl 0741.46035
Kawahigashi, Yasuyuki
1990
Centrally ergodic one-parameter automorphism groups on semifinite injective von Neumann algebras. Zbl 0685.46039
Kawahigashi, Yasuyuki
1989
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#### Cited by 324 Authors

 28 Longo, Roberto 22 Kawahigashi, Yasuyuki 18 Evans, David E. 18 Tanimoto, Yoh 18 Xu, Feng 12 Penneys, David 11 Masuda, Toshihiko 10 Carpi, Sebastiano 10 Dong, Chongying 10 Jones, Vaughan Frederick Randal 10 Morrison, Scott 10 Weiner, Mihály 9 Izumi, Masaki 9 Pugh, Mathew 9 Rehren, Karl-Henning 9 Snyder, Noah 8 Bischoff, Marcel 8 Fuchs, Jürgen 8 Gannon, Terry 8 Hillier, Robin 8 Popa, Sorin Teodor 8 Runkel, Ingo 8 Schweigert, Christoph 8 Tomatsu, Reiji 7 Ruzzi, Giuseppe 6 Grossman, Pinhas 6 Kong, Liang 6 Peters, Emily 6 Wang, Zhenghan 5 Coquereaux, Robert 5 Giorgetti, Luca 5 Gui, Bin 5 Hollands, Stefan 5 Liu, Zhengwei 5 Müger, Michael 5 Naaijkens, Pieter 5 Yamagami, Shigeru 4 Asaeda, Marta M. 4 Bisch, Dietmar H. 4 Conti, Roberto 4 Del Vecchio, Simone 4 Jones, Corey 4 Lin, Xingjun 4 Rowell, Eric C. 4 Sato, Nobuya 4 Schenkel, Alexander 4 Schroer, Bert 4 Shimada, Koichi 4 Takesaki, Masamichi 4 Tener, James E. 4 Vasselli, Ezio 4 Woike, Lukas 3 Banica, Teodor 3 Bartels, Arthur C. 3 Benini, Marco 3 Choda, Marie 3 Douglas, Christopher L. 3 Dybalski, Wojciech 3 Edie-Michell, Cain 3 Ghosh, Shamindra Kumar 3 Hayashi, Tomohiro 3 Henriques, André G. 3 Jiang, Lining 3 Lechner, Gandalf 3 Loi, Phan H. 3 Morsella, Gerardo 3 Neshveyev, Sergey V. 3 Pinto, Paulo R. F. 3 Wu, Jinsong 3 Yamashita, Makoto 3 Zheng, Hao 2 Ai, Chunrui 2 Bekka, Mohammed el Bachir 2 Bigelow, Stephen J. 2 Bostelmann, Henning 2 Brunetti, Romeo 2 Burstein, Richard D. 2 Camassa, Paolo 2 Casini, Horacio 2 Chifan, Ionuţ 2 D’Antoni, Claudio 2 Das, Paramita 2 Das, Sayan Kumar 2 Fröhlich, Jürg Martin 2 Goto, Satoshi 2 Hartglass, Michael 2 Hayashi, Takahiro 2 Huerta, Marina 2 Iovieno, Stefano 2 Ishikawa, Hiroshi 2 Jiang, Cuipo 2 Jiao, Xiangyu 2 Kajiwara, Tsuyoshi 2 Katayama, Yoshikazu 2 Köstler, Claus 2 Lam, Ching Hung 2 Magán, Javier M. 2 Mombelli, Martín 2 Morinelli, Vincenzo 2 Ng, Siu-Hung ...and 224 more Authors
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#### Cited in 79 Serials

 102 Communications in Mathematical Physics 35 International Journal of Mathematics 24 Journal of Functional Analysis 22 Advances in Mathematics 20 Reviews in Mathematical Physics 15 Journal of Mathematical Physics 14 Letters in Mathematical Physics 12 Nuclear Physics. B 12 Transactions of the American Mathematical Society 11 Journal of Algebra 11 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Journal of High Energy Physics 7 Proceedings of the American Mathematical Society 5 Journal of Geometry and Physics 5 Mathematische Annalen 5 Annales Henri Poincaré 4 Reports on Mathematical Physics 4 Acta Mathematica 4 Duke Mathematical Journal 4 Journal of Pure and Applied Algebra 4 Memoirs of the American Mathematical Society 4 Science China. Mathematics 3 Mathematische Zeitschrift 3 Journal of the American Mathematical Society 3 Expositiones Mathematicae 3 Journal of Knot Theory and its Ramifications 3 Selecta Mathematica. New Series 3 Communications in Contemporary Mathematics 3 Foundations of Physics 3 Quantum Topology 2 Journal of Mathematical Analysis and Applications 2 Physics Letters. B 2 Chaos, Solitons and Fractals 2 Inventiones Mathematicae 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Linear Algebra and its Applications 2 Bulletin of the American Mathematical Society. New Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Acta Mathematica Sinica. English Series 2 Algebraic & Geometric Topology 2 Higher Structures 1 International Journal of Modern Physics B 1 Communications in Algebra 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Tohoku Mathematical Journal. Second Series 1 Topology and its Applications 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Applicandae Mathematicae 1 $$K$$-Theory 1 Revista Matemática Iberoamericana 1 Sugaku Expositions 1 Journal of Algebraic Combinatorics 1 Applied Categorical Structures 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Theory and Applications of Categories 1 Electronic Research Announcements of the American Mathematical Society 1 Documenta Mathematica 1 Algebras and Representation Theory 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of the Australian Mathematical Society 1 Stochastics and Dynamics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Noncommutative Geometry 1 Journal of $$K$$-Theory 1 Japanese Journal of Mathematics. 3rd Series 1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Analysis and Mathematical Physics 1 Forum of Mathematics, Sigma 1 Journal of Function Spaces 1 Journal of Combinatorial Algebra
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#### Cited in 38 Fields

 281 Functional analysis (46-XX) 214 Quantum theory (81-XX) 80 Category theory; homological algebra (18-XX) 65 Nonassociative rings and algebras (17-XX) 29 Manifolds and cell complexes (57-XX) 23 Associative rings and algebras (16-XX) 23 Statistical mechanics, structure of matter (82-XX) 21 Topological groups, Lie groups (22-XX) 20 Operator theory (47-XX) 18 Group theory and generalizations (20-XX) 14 Global analysis, analysis on manifolds (58-XX) 8 Algebraic geometry (14-XX) 7 $$K$$-theory (19-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Abstract harmonic analysis (43-XX) 5 Probability theory and stochastic processes (60-XX) 5 Relativity and gravitational theory (83-XX) 5 Information and communication theory, circuits (94-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Combinatorics (05-XX) 3 Partial differential equations (35-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Algebraic topology (55-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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