# zbMATH — the first resource for mathematics

## Frenkel, Igor B.

Compute Distance To:
 Author ID: frenkel.igor-b Published as: Frenkel, Igor B.; Frenkel, Igor; Frenkel, I. B.; Frenkel’, I. B.; Frenkel, I. Homepage: https://users.math.yale.edu/public_html/People/frenkel.html External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
 Documents Indexed: 70 Publications since 1980, including 4 Books Biographic References: 2 Publications
all top 5

#### Co-Authors

 7 single-authored 8 Lepowsky, James 7 Meurman, Arne 5 Feingold, Alex Jay 5 Jing, Naihuan 5 Khovanov, Mikhail G. 5 Libine, Matvei 4 Kirillov, Alexander A. jun. 4 Wang, Weiqiang 3 Etingof, Pavel Il’ich 3 Ries, John F. X. 3 Zeitlin, Anton M. 2 Ding, Jintai 2 Jardim, Marcos 2 Malkin, Anton Z. 2 Reshetikhin, Nikolai Yu. 2 Stroppel, Catharina H. 2 Turaev, Vladimir G. 2 Vybornov, Maxim 1 Beck, Jonathan 1 Benkart, Georgia M. 1 Bernstein, Joseph 1 Crane, Louis 1 Duncan, John F. R. 1 Feĭgin, Boris L’vovich 1 Finkelberg, Michael Vladlenovich 1 Huang, Yi-Zhi 1 Ip, Ivan Chi-Ho 1 Kac, Victor G. 1 Kang, Seok-Jin 1 Khesin, Boris A. 1 Kim, Hyun Kyu 1 Lee, Hyeonmi 1 Moore, Gregory Winthrop 1 Penkov, Ivan B. 1 Rybnikov, Leonid Grigor’evich 1 Savage, Alistair 1 Schiffmann, Olivier G. 1 Serganova, Vera V. 1 Styrkas, Konstantin 1 Sussan, Joshua 1 Todorov, Andrey N. 1 Varchenko, Alexander Nikolaevich 1 Zhu, Minxian 1 Zhu, Yongchang
all top 5

#### Serials

 10 Communications in Mathematical Physics 7 IMRN. International Mathematics Research Notices 6 Advances in Mathematics 5 Duke Mathematical Journal 4 Selecta Mathematica. New Series 3 Journal of Algebra 3 Proceedings of the National Academy of Sciences of the United States of America 2 Inventiones Mathematicae 1 Journal of Mathematical Physics 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 International Journal of Mathematics 1 Transformation Groups 1 Advances in Theoretical and Mathematical Physics 1 Contemporary Mathematics 1 Mathematical Surveys and Monographs 1 Journal of Noncommutative Geometry 1 Communications in Number Theory and Physics 1 Quantum Topology
all top 5

#### Fields

 57 Nonassociative rings and algebras (17-XX) 26 Quantum theory (81-XX) 14 Group theory and generalizations (20-XX) 11 Topological groups, Lie groups (22-XX) 7 Associative rings and algebras (16-XX) 6 Functions of a complex variable (30-XX) 5 Number theory (11-XX) 5 Algebraic geometry (14-XX) 5 Special functions (33-XX) 5 Manifolds and cell complexes (57-XX) 4 Combinatorics (05-XX) 3 Category theory; homological algebra (18-XX) 3 Partial differential equations (35-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

64 Publications have been cited 3,274 times in 2,065 Documents Cited by Year
Vertex operator algebras and the monster. Zbl 0674.17001
Frenkel, Igor; Lepowsky, James; Meurman, Arne
1988
Vertex operator algebras associated to representations of affine and Virasoro algebras. Zbl 0848.17032
Frenkel, Igor B.; Zhu, Yongchang
1992
On axiomatic approaches to vertex operator algebras and modules. Zbl 0789.17022
Frenkel, Igor B.; Huang, Yi-Zhi; Lepowsky, James
1993
Basic representations of affine Lie algebras and dual resonance models. Zbl 0493.17010
Frenkel, I. B.; Kac, V. G.
1980
Quantum affine algebras and holonomic difference equations. Zbl 0760.17006
Frenkel, I. B.; Reshetikhin, N. Yu.
1992
A natural representation of the Fischer-Griess monster with the modular function J as character. Zbl 0543.20016
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
1984
Vertex representations of quantum affine algebras. Zbl 0662.17006
Frenkel, Igor B.; Jing, Naihuan
1988
Lectures on representation theory and Knizhnik-Zamolodchikov equations. Zbl 0903.17006
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
1998
Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory. Zbl 0479.17003
Frenkel, I. B.
1981
Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases. Zbl 0892.57014
Crane, Louis; Frenkel, Igor B.
1994
Spinor construction of vertex operator algebras, triality, and $$E_ 8^{(1)}$$. Zbl 0743.17029
Feingold, Alex J.; Frenkel, Igor B.; Ries, John F. X.
1991
A categorification of the Temperley-Lieb algebra and Schur quotients of $$U(\mathfrak{sl}_2)$$ via projective and Zuckerman functors. Zbl 0981.17001
Bernstein, Joseph; Frenkel, Igor; Khovanov, Mikhail
1999
Isomorphism of two realizations of quantum affine algebra $$U_ q(\widehat{{\mathfrak g}{\mathfrak l}(n)})$$. Zbl 0786.17008
Ding, Jintai; Frenkel, Igor B.
1993
Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions. Zbl 0974.17016
Frenkel, Igor B.; Turaev, Vladimir G.
1997
Classical affine algebras. Zbl 0601.17012
Feingold, Alex J.; Frenkel, Igor B.
1985
Canonical bases in tensor products and graphical calculus for $$U_ q(sl_ 2)$$. Zbl 0883.17013
Frenkel, Igor B.; Khovanov, Mikhail G.
1997
A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2. Zbl 0489.17008
Feingold, Alex J.; Frenkel, Igor B.
1983
Spinor representations of affine Lie algebras. Zbl 0451.17004
Frenkel, I. B.
1980
A categorification of finite-dimensional irreducible representations of quantum $${\mathfrak{sl}_2}$$ and their tensor products. Zbl 1188.17011
Frenkel, Igor; Khovanov, Mikhail; Stroppel, Catharina
2006
Orbital theory for affine Lie algebras. Zbl 0548.17007
Frenkel, I. B.
1984
Spherical functions on affine Lie groups. Zbl 0848.43010
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
1995
A moonshine module for the monster. Zbl 0556.17008
Frenkel, Igor B.; Lepowsky, James; Meurman, Arne
1985
Vertex representations via finite groups and the McKay correspondence. Zbl 1011.17020
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
2000
Rademacher sums, moonshine and gravity. Zbl 1279.11045
Duncan, John F. R.; Frenkel, Igor B.
2011
Representations of Kac-Moody algebras and dual resonance models. Zbl 0558.17013
Frenkel, I. B.
1985
Categorifying fractional Euler characteristics, Jones-Wenzl projectors and $$3j$$-symbols. Zbl 1256.17006
Frenkel, Igor B.; Stroppel, Catharina; Sussan, Joshua
2012
Kazhdan-Lusztig polynomials and canonical basis. Zbl 0918.17012
Frenkel, I. B.; Khovanov, M. G.; Kirillov, A. A. jun.
1998
An introduction to the Monster. Zbl 0648.20030
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
1986
Vertex operator calculus. Zbl 0657.17010
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
1987
Central extensions of current groups in two dimensions. Zbl 0822.22014
Etingof, Pavel I.; Frenkel, Igor B.
1994
Level 1 perfect crystals and path realizations of basic representations at $$q=0$$. Zbl 1149.17016
Benkart, Georgia; Frenkel, Igor; Kang, Seokjin; Lee, Hyeonmi
2006
Affine Lie algebras and tame quivers. Zbl 1002.16012
Frenkel, Igor; Malkin, Anton; Vybornov, Maxim
2001
Quaternionic analysis, representation theory and physics. Zbl 1167.30030
Frenkel, Igor; Libine, Matvei
2008
Split quaternionic analysis and separation of the series for $$\mathrm{SL}(2,\mathbb R)$$ and $$\mathrm{SL}(2,\mathbb C)/\mathrm{SL}(2,\mathbb R)$$. Zbl 1264.30037
Frenkel, Igor; Libine, Matvei
2011
Introduction from the book “Algebras of vertex operators and the Monster”. Zbl 0759.20001
Frenkel, I.; Lepowsky, J.; Meurman, A.
1991
Representations of affine Lie algebras, Hecke modular forms and Korteweg- de Vries type equations. Zbl 0505.17008
Frenkel, I. B.
1982
Quantum vertex representations via finite groups and the McKay correspondence. Zbl 1011.17011
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
2000
Complex ADHM equations and sheaves on $$\mathbb P ^3$$. Zbl 1145.14017
Frenkel, Igor B.; Jardim, Marcos
2008
Simplex equations and their solutions. Zbl 0749.17039
Frenkel, Igor; Moore, Gregory
1991
Positive representations of split real quantum groups and future perspectives. Zbl 1381.17009
Frenkel, Igor B.; Ip, Ivan C. H.
2014
Bases of representations of type $$A$$ affine Lie algebras via quiver varieties and statistical mechanics. Zbl 1023.17010
Frenkel, Igor B.; Savage, Alistair
2003
Quantum Teichmüller space from the quantum plane. Zbl 1271.30020
Frenkel, Igor B.; Kim, Hyun Kyu
2012
Twisted vertex representations via spin groups and the McKay correspondence. Zbl 1100.17502
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
2002
Virasoro algebra and wreath product convolution. Zbl 0981.17021
Frenkel, Igor B.; Wang, Weiqiang
2001
Annihilating ideals and tilting functors. Zbl 0942.17017
Frenkel’, I. B.; Malikov, F. G.
1999
Spinor and oscillator representations of quantum groups. Zbl 0847.17013
Ding, Jintai; Frenkel, Igor B.
1994
Modified regular representations of affine and Virasoro algebras, VOA structure and semi-infinite cohomology. Zbl 1208.17021
Frenkel, Igor B.; Styrkas, Konstantin
2006
Complex counterpart of Chern-Simons-Witten theory and holomorphic linking. Zbl 1135.32021
Frenkel, Igor B.; Todorov, Andrey N.
2007
Anti de Sitter deformation of quaternionic analysis and the second-order pole. Zbl 1318.30080
Frenkel, Igor; Libine, Matvei
2015
Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces. Zbl 1285.14011
Feigin, Boris; Finkelberg, Michael; Frenkel, Igor; Rybnikov, Leonid
2011
A categorification of the boson-fermion correspondence via representation theory of $$sl(\infty)$$. Zbl 1355.17032
Frenkel, Igor; Penkov, Ivan; Serganova, Vera
2016
Representations of hyperbolic Kac-Moody algebras. Zbl 0795.17032
Feingold, Alex J.; Frenkel, Igor B.; Ries, John F. X.
1993
Four dimensional realization of two dimensional current groups. Zbl 0858.22017
Frenkel, Igor B.; Khesin, Boris A.
1996
Quantum instantons with classical moduli spaces. Zbl 1034.58025
Frenkel, Igor B.; Jardim, Marcos
2003
Trigonometric solutions of the Yang-Baxter equation, nets, and hypergeometric functions. Zbl 0864.57024
Frenkel, Igor B.; Turaev, Vladimir G.
1995
Quantum affine algebras, commutative systems of difference equations and elliptic solutions to the Yang-Baxter equations. Zbl 0818.17011
Frenkel, I. B.; Reshetikhin, N. Yu.
1992
Canonical basis and Macdonald polynomials. Zbl 0924.17006
Beck, Jonathan; Frenkel, Igor B.; Jing, Naihuan
1998
Homological realization of Nakajima varieties and Weyl group actions. Zbl 1095.17002
Frenkel, Igor; Khovanov, Mikhail; Schiffmann, Olivier
2005
Vertex algebras associated to modified regular representations of the Virasoro algebra. Zbl 1256.17011
Frenkel, Igor; Zhu, Minxian
2012
Quantum group as semi-infinite cohomology. Zbl 1196.81148
Frenkel, Igor B.; Zeitlin, Anton M.
2010
Beyond affine Lie algebras. Zbl 0668.17016
Frenkel, I. B.
1987
Canonical basis and homology of local systems. Zbl 0973.17016
Frenkel, Igor; Kirillov, Alexander jun.; Varchenko, Alexander
1997
Quaternionic analysis and the Schrödinger model for the minimal representation of $$O(3,3)$$. Zbl 1261.30005
Frenkel, Igor; Libine, Matvei
2012
Quantum group $$\mathrm{GL}_q(2)$$ and quantum Laplace operator via semi-infinite cohomology. Zbl 1330.17017
Frenkel, Igor B.; Zeitlin, Anton M.
2013
A categorification of the boson-fermion correspondence via representation theory of $$sl(\infty)$$. Zbl 1355.17032
Frenkel, Igor; Penkov, Ivan; Serganova, Vera
2016
Anti de Sitter deformation of quaternionic analysis and the second-order pole. Zbl 1318.30080
Frenkel, Igor; Libine, Matvei
2015
Positive representations of split real quantum groups and future perspectives. Zbl 1381.17009
Frenkel, Igor B.; Ip, Ivan C. H.
2014
Quantum group $$\mathrm{GL}_q(2)$$ and quantum Laplace operator via semi-infinite cohomology. Zbl 1330.17017
Frenkel, Igor B.; Zeitlin, Anton M.
2013
Categorifying fractional Euler characteristics, Jones-Wenzl projectors and $$3j$$-symbols. Zbl 1256.17006
Frenkel, Igor B.; Stroppel, Catharina; Sussan, Joshua
2012
Quantum Teichmüller space from the quantum plane. Zbl 1271.30020
Frenkel, Igor B.; Kim, Hyun Kyu
2012
Vertex algebras associated to modified regular representations of the Virasoro algebra. Zbl 1256.17011
Frenkel, Igor; Zhu, Minxian
2012
Quaternionic analysis and the Schrödinger model for the minimal representation of $$O(3,3)$$. Zbl 1261.30005
Frenkel, Igor; Libine, Matvei
2012
Rademacher sums, moonshine and gravity. Zbl 1279.11045
Duncan, John F. R.; Frenkel, Igor B.
2011
Split quaternionic analysis and separation of the series for $$\mathrm{SL}(2,\mathbb R)$$ and $$\mathrm{SL}(2,\mathbb C)/\mathrm{SL}(2,\mathbb R)$$. Zbl 1264.30037
Frenkel, Igor; Libine, Matvei
2011
Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces. Zbl 1285.14011
Feigin, Boris; Finkelberg, Michael; Frenkel, Igor; Rybnikov, Leonid
2011
Quantum group as semi-infinite cohomology. Zbl 1196.81148
Frenkel, Igor B.; Zeitlin, Anton M.
2010
Quaternionic analysis, representation theory and physics. Zbl 1167.30030
Frenkel, Igor; Libine, Matvei
2008
Complex ADHM equations and sheaves on $$\mathbb P ^3$$. Zbl 1145.14017
Frenkel, Igor B.; Jardim, Marcos
2008
Complex counterpart of Chern-Simons-Witten theory and holomorphic linking. Zbl 1135.32021
Frenkel, Igor B.; Todorov, Andrey N.
2007
A categorification of finite-dimensional irreducible representations of quantum $${\mathfrak{sl}_2}$$ and their tensor products. Zbl 1188.17011
Frenkel, Igor; Khovanov, Mikhail; Stroppel, Catharina
2006
Level 1 perfect crystals and path realizations of basic representations at $$q=0$$. Zbl 1149.17016
Benkart, Georgia; Frenkel, Igor; Kang, Seokjin; Lee, Hyeonmi
2006
Modified regular representations of affine and Virasoro algebras, VOA structure and semi-infinite cohomology. Zbl 1208.17021
Frenkel, Igor B.; Styrkas, Konstantin
2006
Homological realization of Nakajima varieties and Weyl group actions. Zbl 1095.17002
Frenkel, Igor; Khovanov, Mikhail; Schiffmann, Olivier
2005
Bases of representations of type $$A$$ affine Lie algebras via quiver varieties and statistical mechanics. Zbl 1023.17010
Frenkel, Igor B.; Savage, Alistair
2003
Quantum instantons with classical moduli spaces. Zbl 1034.58025
Frenkel, Igor B.; Jardim, Marcos
2003
Twisted vertex representations via spin groups and the McKay correspondence. Zbl 1100.17502
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
2002
Affine Lie algebras and tame quivers. Zbl 1002.16012
Frenkel, Igor; Malkin, Anton; Vybornov, Maxim
2001
Virasoro algebra and wreath product convolution. Zbl 0981.17021
Frenkel, Igor B.; Wang, Weiqiang
2001
Vertex representations via finite groups and the McKay correspondence. Zbl 1011.17020
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
2000
Quantum vertex representations via finite groups and the McKay correspondence. Zbl 1011.17011
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
2000
A categorification of the Temperley-Lieb algebra and Schur quotients of $$U(\mathfrak{sl}_2)$$ via projective and Zuckerman functors. Zbl 0981.17001
Bernstein, Joseph; Frenkel, Igor; Khovanov, Mikhail
1999
Annihilating ideals and tilting functors. Zbl 0942.17017
Frenkel&rsquo;, I. B.; Malikov, F. G.
1999
Lectures on representation theory and Knizhnik-Zamolodchikov equations. Zbl 0903.17006
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
1998
Kazhdan-Lusztig polynomials and canonical basis. Zbl 0918.17012
Frenkel, I. B.; Khovanov, M. G.; Kirillov, A. A. jun.
1998
Canonical basis and Macdonald polynomials. Zbl 0924.17006
Beck, Jonathan; Frenkel, Igor B.; Jing, Naihuan
1998
Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions. Zbl 0974.17016
Frenkel, Igor B.; Turaev, Vladimir G.
1997
Canonical bases in tensor products and graphical calculus for $$U_ q(sl_ 2)$$. Zbl 0883.17013
Frenkel, Igor B.; Khovanov, Mikhail G.
1997
Canonical basis and homology of local systems. Zbl 0973.17016
Frenkel, Igor; Kirillov, Alexander jun.; Varchenko, Alexander
1997
Four dimensional realization of two dimensional current groups. Zbl 0858.22017
Frenkel, Igor B.; Khesin, Boris A.
1996
Spherical functions on affine Lie groups. Zbl 0848.43010
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
1995
Trigonometric solutions of the Yang-Baxter equation, nets, and hypergeometric functions. Zbl 0864.57024
Frenkel, Igor B.; Turaev, Vladimir G.
1995
Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases. Zbl 0892.57014
Crane, Louis; Frenkel, Igor B.
1994
Central extensions of current groups in two dimensions. Zbl 0822.22014
Etingof, Pavel I.; Frenkel, Igor B.
1994
Spinor and oscillator representations of quantum groups. Zbl 0847.17013
Ding, Jintai; Frenkel, Igor B.
1994
On axiomatic approaches to vertex operator algebras and modules. Zbl 0789.17022
Frenkel, Igor B.; Huang, Yi-Zhi; Lepowsky, James
1993
Isomorphism of two realizations of quantum affine algebra $$U_ q(\widehat{{\mathfrak g}{\mathfrak l}(n)})$$. Zbl 0786.17008
Ding, Jintai; Frenkel, Igor B.
1993
Representations of hyperbolic Kac-Moody algebras. Zbl 0795.17032
Feingold, Alex J.; Frenkel, Igor B.; Ries, John F. X.
1993
Vertex operator algebras associated to representations of affine and Virasoro algebras. Zbl 0848.17032
Frenkel, Igor B.; Zhu, Yongchang
1992
Quantum affine algebras and holonomic difference equations. Zbl 0760.17006
Frenkel, I. B.; Reshetikhin, N. Yu.
1992
Quantum affine algebras, commutative systems of difference equations and elliptic solutions to the Yang-Baxter equations. Zbl 0818.17011
Frenkel, I. B.; Reshetikhin, N. Yu.
1992
Spinor construction of vertex operator algebras, triality, and $$E_ 8^{(1)}$$. Zbl 0743.17029
Feingold, Alex J.; Frenkel, Igor B.; Ries, John F. X.
1991
Introduction from the book “Algebras of vertex operators and the Monster”. Zbl 0759.20001
Frenkel, I.; Lepowsky, J.; Meurman, A.
1991
Simplex equations and their solutions. Zbl 0749.17039
Frenkel, Igor; Moore, Gregory
1991
Vertex operator algebras and the monster. Zbl 0674.17001
Frenkel, Igor; Lepowsky, James; Meurman, Arne
1988
Vertex representations of quantum affine algebras. Zbl 0662.17006
Frenkel, Igor B.; Jing, Naihuan
1988
Vertex operator calculus. Zbl 0657.17010
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
1987
Beyond affine Lie algebras. Zbl 0668.17016
Frenkel, I. B.
1987
An introduction to the Monster. Zbl 0648.20030
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
1986
Classical affine algebras. Zbl 0601.17012
Feingold, Alex J.; Frenkel, Igor B.
1985
A moonshine module for the monster. Zbl 0556.17008
Frenkel, Igor B.; Lepowsky, James; Meurman, Arne
1985
Representations of Kac-Moody algebras and dual resonance models. Zbl 0558.17013
Frenkel, I. B.
1985
A natural representation of the Fischer-Griess monster with the modular function J as character. Zbl 0543.20016
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
1984
Orbital theory for affine Lie algebras. Zbl 0548.17007
Frenkel, I. B.
1984
A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2. Zbl 0489.17008
Feingold, Alex J.; Frenkel, Igor B.
1983
Representations of affine Lie algebras, Hecke modular forms and Korteweg- de Vries type equations. Zbl 0505.17008
Frenkel, I. B.
1982
Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory. Zbl 0479.17003
Frenkel, I. B.
1981
Basic representations of affine Lie algebras and dual resonance models. Zbl 0493.17010
Frenkel, I. B.; Kac, V. G.
1980
Spinor representations of affine Lie algebras. Zbl 0451.17004
Frenkel, I. B.
1980
all top 5

#### Cited by 1,452 Authors

 66 Dong, Chongying 60 Jing, Naihuan 56 Li, Haisheng 47 Lam, Ching Hung 35 Huang, Yi-Zhi 27 Frenkel, Igor B. 26 Linshaw, Andrew Ross 26 Tan, Shao Bin 24 Adamović, Dražen 24 Mason, Geoffrey 23 Jiang, Cuipo 23 Milas, Antun 23 Yamada, Hiromichi 22 Kac, Victor G. 21 Arakawa, Tomoyuki 21 Misra, Kailash C. 21 Varchenko, Alexander Nikolaevich 20 Creutzig, Thomas 20 Mazorchuk, Volodymyr 19 Lepowsky, James 16 Yang, Jinwei 15 Duncan, John F. R. 15 Khovanov, Mikhail G. 14 Kang, Seok-Jin 14 Lauda, Aaron D. 14 Wang, Weiqiang 14 Yamauchi, Hiroshi 13 Feĭgin, Boris L’vovich 13 Miyamoto, Masahiko 13 Shimakura, Hiroki 13 Stroppel, Catharina H. 13 Tarasov, Vitaly Olegovich 13 Tuite, Michael P. 13 Zhang, Yaozhong 12 Abe, Toshiyuki 12 Etingof, Pavel Il’ich 12 Frenkel, Edward V. 12 Ren, Li 12 Zuevsky, Alexander 11 Gao, Yun 11 Reshetikhin, Nikolai Yu. 11 Stokman, Jasper V. 11 Xu, Xiaoping 11 Zinn-Justin, Paul 10 Barron, Katrina 10 Cheng, Miranda C. N. 10 Perše, Ozren 10 Schlosser, Michael J. 10 Yamskulna, Gaywalee 10 Zhang, Honglian 9 Anguelova, Iana I. 9 Calinescu, Corina 9 Cautis, Sabin 9 Cox, Ben Lewis 9 Griess, Robert L. jun. 9 Ip, Ivan Chi-Ho 9 Jimbo, Michio 9 Kong, Liang 9 Kožić, Slaven 9 Lin, Xingjun 9 McRae, Robert 9 Moore, Gregory Winthrop 9 Pakuliak, Stanislav Z. 9 Primc, Mirko 9 Savage, Alistair 9 Spiridonov, Vyacheslav Pavlovich 9 Tanabe, Kenichiro 9 Warnaar, S. Ole 8 Bringmann, Kathrin 8 Gould, Mark D. 8 Harrison, Sarah M. 8 Harvey, Jeffrey A. 8 Hu, Naihong 8 Jardim, Marcos 8 Jurisich, Elizabeth 8 Kirillov, Alexander A. jun. 8 Kolesnikov, Pavel Sergeevich 8 Libine, Matvei 8 Licata, Anthony M. 8 Mackaay, Marco 8 Molev, Alexander I. 8 Montague, P. S. 8 Okado, Masato 8 Penn, Michael 8 Rains, Eric M. 8 Ridout, David 8 Rosengren, Hjalmar 8 Yu, Nina 7 Bakalov, Bojko 7 Bantay, Peter 7 Brundan, Jonathan 7 Carey, Alan L. 7 Chen, Fulin 7 Feingold, Alex Jay 7 Fuchs, Jürgen 7 Futorny, Vyacheslav M. 7 Guo, Hongyan 7 Jiao, Xiangyu 7 Kanade, Shashank 7 Kojima, Takeo ...and 1,352 more Authors
all top 5

#### Cited in 199 Serials

 249 Journal of Algebra 218 Communications in Mathematical Physics 122 Advances in Mathematics 115 Journal of Mathematical Physics 82 Journal of Pure and Applied Algebra 69 Letters in Mathematical Physics 67 Journal of High Energy Physics 65 Communications in Algebra 56 Nuclear Physics. B 55 Transactions of the American Mathematical Society 44 Duke Mathematical Journal 38 Communications in Contemporary Mathematics 36 Selecta Mathematica. New Series 34 Journal of Geometry and Physics 31 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 26 Theoretical and Mathematical Physics 26 Mathematische Zeitschrift 25 Proceedings of the American Mathematical Society 22 Journal of Functional Analysis 22 International Journal of Mathematics 20 Transformation Groups 18 The Ramanujan Journal 18 Algebras and Representation Theory 16 Publications of the Research Institute for Mathematical Sciences, Kyoto University 15 International Journal of Modern Physics A 15 Journal of Algebra and its Applications 14 Compositio Mathematica 14 Inventiones Mathematicae 14 Journal of Mathematical Sciences (New York) 14 Frontiers of Mathematics in China 14 Quantum Topology 12 Bulletin of the American Mathematical Society. New Series 12 Representation Theory 11 Mathematische Annalen 11 Journal of Algebraic Combinatorics 10 Functional Analysis and its Applications 9 Central European Journal of Mathematics 9 Journal of Statistical Mechanics: Theory and Experiment 8 Reviews in Mathematical Physics 8 Journal of Combinatorial Theory. Series A 8 Journal of Knot Theory and its Ramifications 8 Algebra Colloquium 8 Advances in Applied Clifford Algebras 8 Annales Henri Poincaré 8 Algebraic & Geometric Topology 8 Science China. Mathematics 8 Research in the Mathematical Sciences 7 Memoirs of the American Mathematical Society 7 Acta Applicandae Mathematicae 7 Journal of the American Mathematical Society 7 Journal of Physics A: Mathematical and Theoretical 6 Journal of the Mathematical Society of Japan 6 Journal of Soviet Mathematics 6 European Journal of Combinatorics 6 Advances in Applied Mathematics 5 Indagationes Mathematicae. New Series 5 Journal of Lie Theory 5 Acta Mathematica Sinica. English Series 5 Japanese Journal of Mathematics. 3rd Series 4 Israel Journal of Mathematics 4 Acta Mathematica 4 Glasgow Mathematical Journal 4 Journal of Number Theory 4 Nagoya Mathematical Journal 4 Annals of Physics 4 St. Petersburg Mathematical Journal 4 Journal of the Institute of Mathematics of Jussieu 3 Modern Physics Letters A 3 International Journal of Modern Physics B 3 Journal of Mathematical Analysis and Applications 3 Journal of Statistical Physics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Physics Letters. B 3 Publications Mathématiques 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Approximation Theory 3 Michigan Mathematical Journal 3 Proceedings of the Japan Academy. Series A 3 Constructive Approximation 3 Science in China. Series A 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Experimental Mathematics 3 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 3 Advances in Mathematical Physics 3 Journal de l’École Polytechnique – Mathématiques 2 Discrete Mathematics 2 International Journal of Theoretical Physics 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys 2 Ukrainian Mathematical Journal 2 Chaos, Solitons and Fractals 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin of the London Mathematical Society 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Journal für die Reine und Angewandte Mathematik 2 Monatshefte für Mathematik 2 International Journal of Algebra and Computation 2 Glasnik Matematički. Serija III 2 The Electronic Journal of Combinatorics 2 Séminaire Lotharingien de Combinatoire ...and 99 more Serials
all top 5

#### Cited in 49 Fields

 1,454 Nonassociative rings and algebras (17-XX) 729 Quantum theory (81-XX) 224 Group theory and generalizations (20-XX) 200 Associative rings and algebras (16-XX) 155 Number theory (11-XX) 148 Algebraic geometry (14-XX) 143 Category theory; homological algebra (18-XX) 133 Combinatorics (05-XX) 117 Special functions (33-XX) 114 Topological groups, Lie groups (22-XX) 92 Manifolds and cell complexes (57-XX) 89 Statistical mechanics, structure of matter (82-XX) 78 Relativity and gravitational theory (83-XX) 67 Global analysis, analysis on manifolds (58-XX) 62 Dynamical systems and ergodic theory (37-XX) 53 Differential geometry (53-XX) 50 Partial differential equations (35-XX) 43 Several complex variables and analytic spaces (32-XX) 43 Functional analysis (46-XX) 30 Functions of a complex variable (30-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 23 Probability theory and stochastic processes (60-XX) 22 Difference and functional equations (39-XX) 21 Algebraic topology (55-XX) 19 Commutative algebra (13-XX) 18 Information and communication theory, circuits (94-XX) 16 $$K$$-theory (19-XX) 10 Geometry (51-XX) 8 Ordinary differential equations (34-XX) 8 Abstract harmonic analysis (43-XX) 8 Computer science (68-XX) 7 Operator theory (47-XX) 6 Convex and discrete geometry (52-XX) 6 Numerical analysis (65-XX) 5 Field theory and polynomials (12-XX) 5 Measure and integration (28-XX) 5 Approximations and expansions (41-XX) 5 Statistics (62-XX) 5 Mechanics of particles and systems (70-XX) 4 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Fluid mechanics (76-XX) 1 Mathematical logic and foundations (03-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.