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Author ID: frenkel.igor-b Recent zbMATH articles by "Frenkel, Igor B."
Published as: Frenkel, Igor B.; Frenkel, Igor; Frenkel, I. B.; Frenkel’, I. B.; Frenkel, I.
Further Spellings: Френкель Игорь Борисович
Homepage: https://users.math.yale.edu/public_html/People/frenkel.html
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 75 Publications since 1980, including 4 Books and 3 Additional arXiv Preprints
Biographic References: 2 Publications
Co-Authors: 46 Co-Authors with 67 Joint Publications
1,479 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

66 Publications have been cited 3,990 times in 2,471 Documents Cited by Year
Vertex operator algebras and the monster. Zbl 0674.17001
Frenkel, Igor; Lepowsky, James; Meurman, Arne
846
1988
On axiomatic approaches to vertex operator algebras and modules. Zbl 0789.17022
Frenkel, Igor B.; Huang, Yi-Zhi; Lepowsky, James
419
1993
Vertex operator algebras associated to representations of affine and Virasoro algebras. Zbl 0848.17032
Frenkel, Igor B.; Zhu, Yongchang
412
1992
Basic representations of affine Lie algebras and dual resonance models. Zbl 0493.17010
Frenkel, I. B.; Kac, V. G.
266
1980
Quantum affine algebras and holonomic difference equations. Zbl 0760.17006
Frenkel, I. B.; Reshetikhin, N. Yu.
220
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.
124
1984
Lectures on representation theory and Knizhnik-Zamolodchikov equations. Zbl 0903.17006
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
121
1998
Vertex representations of quantum affine algebras. Zbl 0662.17006
Frenkel, Igor B.; Jing, Naihuan
111
1988
Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases. Zbl 0892.57014
Crane, Louis; Frenkel, Igor B.
103
1994
Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory. Zbl 0479.17003
Frenkel, I. B.
95
1981
Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\). Zbl 0786.17008
Ding, Jintai; Frenkel, Igor B.
92
1993
Spinor construction of vertex operator algebras, triality, and \(E_ 8^{(1)}\). Zbl 0743.17029
Feingold, Alex J.; Frenkel, Igor B.; Ries, John F. X.
89
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
84
1999
Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions. Zbl 0974.17016
Frenkel, Igor B.; Turaev, Vladimir G.
70
1997
Canonical bases in tensor products and graphical calculus for \(U_ q(sl_ 2)\). Zbl 0883.17013
Frenkel, Igor B.; Khovanov, Mikhail G.
67
1997
Classical affine algebras. Zbl 0601.17012
Feingold, Alex J.; Frenkel, Igor B.
65
1985
A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2. Zbl 0489.17008
Feingold, Alex J.; Frenkel, Igor B.
51
1983
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
49
2006
Spinor representations of affine Lie algebras. Zbl 0451.17004
Frenkel, I. B.
47
1980
Orbital theory for affine Lie algebras. Zbl 0548.17007
Frenkel, I. B.
41
1984
A moonshine module for the monster. Zbl 0556.17008
Frenkel, Igor B.; Lepowsky, James; Meurman, Arne
38
1985
Representations of Kac-Moody algebras and dual resonance models. Zbl 0558.17013
Frenkel, I. B.
34
1985
Rademacher sums, moonshine and gravity. Zbl 1279.11045
Duncan, John F. R.; Frenkel, Igor B.
33
2011
Categorifying fractional Euler characteristics, Jones-Wenzl projectors and \(3j\)-symbols. Zbl 1256.17006
Frenkel, Igor B.; Stroppel, Catharina; Sussan, Joshua
30
2012
Vertex representations via finite groups and the McKay correspondence. Zbl 1011.17020
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
29
2000
Spherical functions on affine Lie groups. Zbl 0848.43010
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
29
1995
Kazhdan-Lusztig polynomials and canonical basis. Zbl 0918.17012
Frenkel, I. B.; Khovanov, M. G.; Kirillov, A. A. jun.
28
1998
Vertex operator calculus. Zbl 0657.17010
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
28
1987
Representations of affine Lie algebras, Hecke modular forms and Korteweg- de Vries type equations. Zbl 0505.17008
Frenkel, I. B.
27
1982
Quaternionic analysis, representation theory and physics. Zbl 1167.30030
Frenkel, Igor; Libine, Matvei
26
2008
An introduction to the Monster. Zbl 0648.20030
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
24
1986
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
22
2011
Central extensions of current groups in two dimensions. Zbl 0822.22014
Etingof, Pavel I.; Frenkel, Igor B.
21
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
19
2006
Introduction from the book “Algebras of vertex operators and the Monster”. Zbl 0759.20001
Frenkel, I.; Lepowsky, J.; Meurman, A.
18
1991
Affine Lie algebras and tame quivers. Zbl 1002.16012
Frenkel, Igor; Malkin, Anton; Vybornov, Maxim
17
2001
Quantum vertex representations via finite groups and the McKay correspondence. Zbl 1011.17011
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
16
2000
Complex ADHM equations and sheaves on \(\mathbb P ^3\). Zbl 1145.14017
Frenkel, Igor B.; Jardim, Marcos
15
2008
Positive representations of split real quantum groups and future perspectives. Zbl 1381.17009
Frenkel, Igor B.; Ip, Ivan C. H.
13
2014
Modified regular representations of affine and Virasoro algebras, VOA structure and semi-infinite cohomology. Zbl 1208.17021
Frenkel, Igor B.; Styrkas, Konstantin
12
2006
Bases of representations of type \(A\) affine Lie algebras via quiver varieties and statistical mechanics. Zbl 1023.17010
Frenkel, Igor B.; Savage, Alistair
12
2003
Quantum Teichmüller space from the quantum plane. Zbl 1271.30020
Frenkel, Igor B.; Kim, Hyun Kyu
12
2012
Simplex equations and their solutions. Zbl 0749.17039
Frenkel, Igor; Moore, Gregory
11
1991
A categorification of the boson-fermion correspondence via representation theory of \(sl(\infty)\). Zbl 1355.17032
Frenkel, Igor; Penkov, Ivan; Serganova, Vera
9
2016
Annihilating ideals and tilting functors. Zbl 0942.17017
Frenkel’, I. B.; Malikov, F. G.
8
1999
Spinor and oscillator representations of quantum groups. Zbl 0847.17013
Ding, Jintai; Frenkel, Igor B.
8
1994
Vertex algebras associated to modified regular representations of the Virasoro algebra. Zbl 1256.17011
Frenkel, Igor; Zhu, Minxian
8
2012
Virasoro algebra and wreath product convolution. Zbl 0981.17021
Frenkel, Igor B.; Wang, Weiqiang
7
2001
Twisted vertex representations via spin groups and the McKay correspondence. Zbl 1100.17502
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
7
2002
Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces. Zbl 1285.14011
Feigin, Boris; Finkelberg, Michael; Frenkel, Igor; Rybnikov, Leonid
7
2011
Complex counterpart of Chern-Simons-Witten theory and holomorphic linking. Zbl 1135.32021
Frenkel, Igor B.; Todorov, Andrey N.
6
2007
Anti de Sitter deformation of quaternionic analysis and the second-order pole. Zbl 1318.30080
Frenkel, Igor; Libine, Matvei
6
2015
Quantum group as semi-infinite cohomology. Zbl 1196.81148
Frenkel, Igor B.; Zeitlin, Anton M.
5
2010
Representations of hyperbolic Kac-Moody algebras. Zbl 0795.17032
Feingold, Alex J.; Frenkel, Igor B.; Ries, John F. X.
4
1993
Four dimensional realization of two dimensional current groups. Zbl 0858.22017
Frenkel, Igor B.; Khesin, Boris A.
4
1996
Canonical basis and Macdonald polynomials. Zbl 0924.17006
Beck, Jonathan; Frenkel, Igor B.; Jing, Naihuan
4
1998
Homological realization of Nakajima varieties and Weyl group actions. Zbl 1095.17002
Frenkel, Igor; Khovanov, Mikhail; Schiffmann, Olivier
3
2005
Quantum instantons with classical moduli spaces. Zbl 1034.58025
Frenkel, Igor B.; Jardim, Marcos
3
2003
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.
3
1992
Trigonometric solutions of the Yang-Baxter equation, nets, and hypergeometric functions. Zbl 0864.57024
Frenkel, Igor B.; Turaev, Vladimir G.
3
1995
Canonical basis and homology of local systems. Zbl 0973.17016
Frenkel, Igor; Kirillov, Alexander jun.; Varchenko, Alexander
2
1997
Sketch of a program for automorphic functions from universal Teichmüller theory to capture monstrous moonshine. Zbl 1497.11103
Frenkel, Igor; Penner, Robert
2
2022
Beyond affine Lie algebras. Zbl 0668.17016
Frenkel, I. B.
2
1987
Quantum group \(\mathrm{GL}_q(2)\) and quantum Laplace operator via semi-infinite cohomology. Zbl 1330.17017
Frenkel, Igor B.; Zeitlin, Anton M.
1
2013
On the continuous series for \(\widehat{sl(2,\mathbb R)}\). Zbl 1369.17019
Frenkel, Igor B.; Zeitlin, Anton M.
1
2014
Quaternionic analysis and the Schrödinger model for the minimal representation of \(O(3,3)\). Zbl 1261.30005
Frenkel, Igor; Libine, Matvei
1
2012
Sketch of a program for automorphic functions from universal Teichmüller theory to capture monstrous moonshine. Zbl 1497.11103
Frenkel, Igor; Penner, Robert
2
2022
A categorification of the boson-fermion correspondence via representation theory of \(sl(\infty)\). Zbl 1355.17032
Frenkel, Igor; Penkov, Ivan; Serganova, Vera
9
2016
Anti de Sitter deformation of quaternionic analysis and the second-order pole. Zbl 1318.30080
Frenkel, Igor; Libine, Matvei
6
2015
Positive representations of split real quantum groups and future perspectives. Zbl 1381.17009
Frenkel, Igor B.; Ip, Ivan C. H.
13
2014
On the continuous series for \(\widehat{sl(2,\mathbb R)}\). Zbl 1369.17019
Frenkel, Igor B.; Zeitlin, Anton M.
1
2014
Quantum group \(\mathrm{GL}_q(2)\) and quantum Laplace operator via semi-infinite cohomology. Zbl 1330.17017
Frenkel, Igor B.; Zeitlin, Anton M.
1
2013
Categorifying fractional Euler characteristics, Jones-Wenzl projectors and \(3j\)-symbols. Zbl 1256.17006
Frenkel, Igor B.; Stroppel, Catharina; Sussan, Joshua
30
2012
Quantum Teichmüller space from the quantum plane. Zbl 1271.30020
Frenkel, Igor B.; Kim, Hyun Kyu
12
2012
Vertex algebras associated to modified regular representations of the Virasoro algebra. Zbl 1256.17011
Frenkel, Igor; Zhu, Minxian
8
2012
Quaternionic analysis and the Schrödinger model for the minimal representation of \(O(3,3)\). Zbl 1261.30005
Frenkel, Igor; Libine, Matvei
1
2012
Rademacher sums, moonshine and gravity. Zbl 1279.11045
Duncan, John F. R.; Frenkel, Igor B.
33
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
22
2011
Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces. Zbl 1285.14011
Feigin, Boris; Finkelberg, Michael; Frenkel, Igor; Rybnikov, Leonid
7
2011
Quantum group as semi-infinite cohomology. Zbl 1196.81148
Frenkel, Igor B.; Zeitlin, Anton M.
5
2010
Quaternionic analysis, representation theory and physics. Zbl 1167.30030
Frenkel, Igor; Libine, Matvei
26
2008
Complex ADHM equations and sheaves on \(\mathbb P ^3\). Zbl 1145.14017
Frenkel, Igor B.; Jardim, Marcos
15
2008
Complex counterpart of Chern-Simons-Witten theory and holomorphic linking. Zbl 1135.32021
Frenkel, Igor B.; Todorov, Andrey N.
6
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
49
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
19
2006
Modified regular representations of affine and Virasoro algebras, VOA structure and semi-infinite cohomology. Zbl 1208.17021
Frenkel, Igor B.; Styrkas, Konstantin
12
2006
Homological realization of Nakajima varieties and Weyl group actions. Zbl 1095.17002
Frenkel, Igor; Khovanov, Mikhail; Schiffmann, Olivier
3
2005
Bases of representations of type \(A\) affine Lie algebras via quiver varieties and statistical mechanics. Zbl 1023.17010
Frenkel, Igor B.; Savage, Alistair
12
2003
Quantum instantons with classical moduli spaces. Zbl 1034.58025
Frenkel, Igor B.; Jardim, Marcos
3
2003
Twisted vertex representations via spin groups and the McKay correspondence. Zbl 1100.17502
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
7
2002
Affine Lie algebras and tame quivers. Zbl 1002.16012
Frenkel, Igor; Malkin, Anton; Vybornov, Maxim
17
2001
Virasoro algebra and wreath product convolution. Zbl 0981.17021
Frenkel, Igor B.; Wang, Weiqiang
7
2001
Vertex representations via finite groups and the McKay correspondence. Zbl 1011.17020
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
29
2000
Quantum vertex representations via finite groups and the McKay correspondence. Zbl 1011.17011
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
16
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
84
1999
Annihilating ideals and tilting functors. Zbl 0942.17017
Frenkel’, I. B.; Malikov, F. G.
8
1999
Lectures on representation theory and Knizhnik-Zamolodchikov equations. Zbl 0903.17006
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
121
1998
Kazhdan-Lusztig polynomials and canonical basis. Zbl 0918.17012
Frenkel, I. B.; Khovanov, M. G.; Kirillov, A. A. jun.
28
1998
Canonical basis and Macdonald polynomials. Zbl 0924.17006
Beck, Jonathan; Frenkel, Igor B.; Jing, Naihuan
4
1998
Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions. Zbl 0974.17016
Frenkel, Igor B.; Turaev, Vladimir G.
70
1997
Canonical bases in tensor products and graphical calculus for \(U_ q(sl_ 2)\). Zbl 0883.17013
Frenkel, Igor B.; Khovanov, Mikhail G.
67
1997
Canonical basis and homology of local systems. Zbl 0973.17016
Frenkel, Igor; Kirillov, Alexander jun.; Varchenko, Alexander
2
1997
Four dimensional realization of two dimensional current groups. Zbl 0858.22017
Frenkel, Igor B.; Khesin, Boris A.
4
1996
Spherical functions on affine Lie groups. Zbl 0848.43010
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
29
1995
Trigonometric solutions of the Yang-Baxter equation, nets, and hypergeometric functions. Zbl 0864.57024
Frenkel, Igor B.; Turaev, Vladimir G.
3
1995
Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases. Zbl 0892.57014
Crane, Louis; Frenkel, Igor B.
103
1994
Central extensions of current groups in two dimensions. Zbl 0822.22014
Etingof, Pavel I.; Frenkel, Igor B.
21
1994
Spinor and oscillator representations of quantum groups. Zbl 0847.17013
Ding, Jintai; Frenkel, Igor B.
8
1994
On axiomatic approaches to vertex operator algebras and modules. Zbl 0789.17022
Frenkel, Igor B.; Huang, Yi-Zhi; Lepowsky, James
419
1993
Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\). Zbl 0786.17008
Ding, Jintai; Frenkel, Igor B.
92
1993
Representations of hyperbolic Kac-Moody algebras. Zbl 0795.17032
Feingold, Alex J.; Frenkel, Igor B.; Ries, John F. X.
4
1993
Vertex operator algebras associated to representations of affine and Virasoro algebras. Zbl 0848.17032
Frenkel, Igor B.; Zhu, Yongchang
412
1992
Quantum affine algebras and holonomic difference equations. Zbl 0760.17006
Frenkel, I. B.; Reshetikhin, N. Yu.
220
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.
3
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.
89
1991
Introduction from the book “Algebras of vertex operators and the Monster”. Zbl 0759.20001
Frenkel, I.; Lepowsky, J.; Meurman, A.
18
1991
Simplex equations and their solutions. Zbl 0749.17039
Frenkel, Igor; Moore, Gregory
11
1991
Vertex operator algebras and the monster. Zbl 0674.17001
Frenkel, Igor; Lepowsky, James; Meurman, Arne
846
1988
Vertex representations of quantum affine algebras. Zbl 0662.17006
Frenkel, Igor B.; Jing, Naihuan
111
1988
Vertex operator calculus. Zbl 0657.17010
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
28
1987
Beyond affine Lie algebras. Zbl 0668.17016
Frenkel, I. B.
2
1987
An introduction to the Monster. Zbl 0648.20030
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
24
1986
Classical affine algebras. Zbl 0601.17012
Feingold, Alex J.; Frenkel, Igor B.
65
1985
A moonshine module for the monster. Zbl 0556.17008
Frenkel, Igor B.; Lepowsky, James; Meurman, Arne
38
1985
Representations of Kac-Moody algebras and dual resonance models. Zbl 0558.17013
Frenkel, I. B.
34
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.
124
1984
Orbital theory for affine Lie algebras. Zbl 0548.17007
Frenkel, I. B.
41
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.
51
1983
Representations of affine Lie algebras, Hecke modular forms and Korteweg- de Vries type equations. Zbl 0505.17008
Frenkel, I. B.
27
1982
Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory. Zbl 0479.17003
Frenkel, I. B.
95
1981
Basic representations of affine Lie algebras and dual resonance models. Zbl 0493.17010
Frenkel, I. B.; Kac, V. G.
266
1980
Spinor representations of affine Lie algebras. Zbl 0451.17004
Frenkel, I. B.
47
1980
all top 5

Cited by 1,759 Authors

74 Dong, Chongying
71 Li, Haisheng
70 Jing, Naihuan
57 Lam, Ching Hung
41 Huang, Yi-Zhi
32 Tan, Shaobin
30 Adamović, Dražen
30 Creutzig, Thomas
30 Mason, Geoffrey
30 Varchenko, Alexander Nikolaevich
29 Jiang, Cuipo
28 Frenkel, Igor B.
28 Linshaw, Andrew Ross
28 Wang, Qing
26 Milas, Antun
25 Kac, Victor
25 Yamada, Hiromichi
23 Arakawa, Tomoyuki
22 Mazorchuk, Volodymyr
21 Misra, Kailash C.
21 Yang, Jinwei
20 Lepowsky, James
19 Khovanov, Mikhail G.
17 Duncan, John F. R.
17 Kožić, Slaven
17 Shimakura, Hiroki
17 Zuevsky, Alexander
16 Miyamoto, Masahiko
16 Stroppel, Catharina H.
16 Tarasov, Vitaly Olegovich
16 Yamauchi, Hiroshi
15 Lauda, Aaron D.
15 McRae, Robert
15 Tuite, Michael P.
15 Wang, Weiqiang
14 Barron, Katrina
14 Feĭgin, Boris L’vovich
14 Frenkel, Edward V.
14 Kang, Seok-Jin
13 Chen, Fulin
13 Etingof, Pavel Il’ich
13 Lin, Xingjun
13 Ren, Li
13 Reshetikhin, Nikolai Yu.
13 Sussan, Joshua
13 Zhang, Yaozhong
12 Abe, Toshiyuki
12 Griess, Robert L. jun.
12 Perše, Ozren
12 Schlosser, Michael J.
12 Stokman, Jasper V.
12 Xu, Feng
12 Xu, Xiaoping
12 Yamskulna, Gaywalee
12 Yu, Nina
12 Zhang, Honglian
11 Anguelova, Iana I.
11 Cheng, Miranda C. N.
11 Gao, Yun
11 Pakuliak, Stanislav Z.
11 Ridout, David
11 Zinn-Justin, Paul
10 Cox, Ben Lewis
10 Futorny, Vyacheslav M.
10 Guo, Hongyan
10 Jurisich, Elizabeth
10 Kong, Liang
10 Lin, Zongzhu
10 Mu, Qiang
10 Qi, You
10 Spiridonov, Vyacheslav Pavlovich
10 Tsymbaliuk, Oleksandr
9 Butorac, Marijana
9 Calinescu, Corina
9 Cautis, Sabin
9 Harrison, Sarah M.
9 Harvey, Jeffrey A.
9 Ip, Ivan Chi-Ho
9 Jiao, Xiangyu
9 Jimbo, Michio
9 Kanade, Shashank
9 Kojima, Takeo
9 Kong, Fei
9 Kwon, Jae-Hoon
9 Molev, Alexander I.
9 Moore, Gregory Winthrop
9 Okado, Masato
9 Primc, Mirko
9 Savage, Alistair
9 Tanabe, Kenichiro
9 Warnaar, S. Ole
9 Zeitlin, Anton M.
8 Bantay, Peter
8 Bringmann, Kathrin
8 Brundan, Jonathan
8 Fehér, László Gy.
8 Gould, Mark D.
8 Hu, Naihong
8 Jardim, Marcos
8 Kirillov, Alexander A. jun.
...and 1,659 more Authors
all top 5

Cited in 230 Serials

298 Journal of Algebra
255 Communications in Mathematical Physics
139 Advances in Mathematics
123 Journal of Mathematical Physics
107 Journal of High Energy Physics
99 Journal of Pure and Applied Algebra
82 Letters in Mathematical Physics
71 Communications in Algebra
61 Nuclear Physics. B
61 Transactions of the American Mathematical Society
46 Communications in Contemporary Mathematics
44 Duke Mathematical Journal
38 Journal of Geometry and Physics
38 Selecta Mathematica. New Series
34 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
30 Mathematische Zeitschrift
27 Theoretical and Mathematical Physics
26 Transformation Groups
25 Proceedings of the American Mathematical Society
23 Algebras and Representation Theory
22 Journal of Functional Analysis
22 International Journal of Mathematics
20 Journal of Physics A: Mathematical and Theoretical
19 The Ramanujan Journal
19 Journal of Algebra and its Applications
16 International Journal of Modern Physics A
16 Inventiones Mathematicae
16 Publications of the Research Institute for Mathematical Sciences, Kyoto University
15 Journal of Mathematical Sciences (New York)
15 Quantum Topology
14 Compositio Mathematica
14 Bulletin of the American Mathematical Society. New Series
14 Representation Theory
14 Journal of Statistical Mechanics: Theory and Experiment
14 Frontiers of Mathematics in China
13 Reviews in Mathematical Physics
13 Journal of Algebraic Combinatorics
13 Annales Henri Poincaré
11 Mathematische Annalen
11 Memoirs of the American Mathematical Society
10 Functional Analysis and its Applications
10 Science China. Mathematics
9 Journal of Knot Theory and its Ramifications
9 Advances in Applied Clifford Algebras
9 Algebraic & Geometric Topology
9 Central European Journal of Mathematics
8 Journal of Combinatorial Theory. Series A
8 Algebra Colloquium
8 Research in the Mathematical Sciences
7 Advances in Applied Mathematics
7 Acta Applicandae Mathematicae
7 Journal of the American Mathematical Society
7 Annals of Physics
6 Journal of the Mathematical Society of Japan
6 Journal of Soviet Mathematics
6 European Journal of Combinatorics
6 Journal of Lie Theory
6 Journal of the Institute of Mathematics of Jussieu
6 Japanese Journal of Mathematics. 3rd Series
5 Israel Journal of Mathematics
5 Journal of the London Mathematical Society. Second Series
5 Journal of Number Theory
5 Indagationes Mathematicae. New Series
5 Acta Mathematica Sinica. English Series
5 Forum of Mathematics, Sigma
4 Journal of Statistical Physics
4 Linear and Multilinear Algebra
4 Acta Mathematica
4 Bulletin of the London Mathematical Society
4 Glasgow Mathematical Journal
4 Journal für die Reine und Angewandte Mathematik
4 Nagoya Mathematical Journal
4 Science in China. Series A
4 St. Petersburg Mathematical Journal
4 Séminaire Lotharingien de Combinatoire
4 Geometry & Topology
4 Journal of the European Mathematical Society (JEMS)
4 Algebra & Number Theory
4 Arnold Mathematical Journal
3 Modern Physics Letters A
3 International Journal of Modern Physics B
3 Journal of Mathematical Analysis and Applications
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Physics Letters. B
3 Canadian Journal of Mathematics
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 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Experimental Mathematics
3 Annals of Combinatorics
3 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
3 Advances in Mathematical Physics
3 Analysis and Mathematical Physics
3 Journal de l’École Polytechnique – Mathématiques
2 Computers & Mathematics with Applications
2 Discrete Mathematics
...and 130 more Serials
all top 5

Cited in 55 Fields

1,719 Nonassociative rings and algebras (17-XX)
906 Quantum theory (81-XX)
262 Group theory and generalizations (20-XX)
246 Associative rings and algebras (16-XX)
188 Number theory (11-XX)
183 Algebraic geometry (14-XX)
180 Category theory; homological algebra (18-XX)
160 Combinatorics (05-XX)
139 Special functions (33-XX)
134 Topological groups, Lie groups (22-XX)
114 Statistical mechanics, structure of matter (82-XX)
106 Manifolds and cell complexes (57-XX)
83 Relativity and gravitational theory (83-XX)
75 Dynamical systems and ergodic theory (37-XX)
73 Global analysis, analysis on manifolds (58-XX)
64 Differential geometry (53-XX)
57 Partial differential equations (35-XX)
56 Several complex variables and analytic spaces (32-XX)
51 Functional analysis (46-XX)
43 Functions of a complex variable (30-XX)
37 Linear and multilinear algebra; matrix theory (15-XX)
30 Algebraic topology (55-XX)
29 Commutative algebra (13-XX)
27 Probability theory and stochastic processes (60-XX)
26 Difference and functional equations (39-XX)
25 Information and communication theory, circuits (94-XX)
21 \(K\)-theory (19-XX)
11 Ordinary differential equations (34-XX)
11 Geometry (51-XX)
10 Operator theory (47-XX)
9 Abstract harmonic analysis (43-XX)
9 Statistics (62-XX)
8 Computer science (68-XX)
7 Convex and discrete geometry (52-XX)
7 Mechanics of particles and systems (70-XX)
6 Field theory and polynomials (12-XX)
6 Measure and integration (28-XX)
6 Numerical analysis (65-XX)
5 General and overarching topics; collections (00-XX)
5 History and biography (01-XX)
5 Approximations and expansions (41-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
2 Mathematical logic and foundations (03-XX)
2 Potential theory (31-XX)
2 Integral transforms, operational calculus (44-XX)
2 Fluid mechanics (76-XX)
1 General algebraic systems (08-XX)
1 Real functions (26-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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