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Frenkel, Igor B.

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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.
Homepage: https://users.math.yale.edu/public_html/People/frenkel.html
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Documents Indexed: 70 Publications since 1980, including 4 Books
Biographic References: 2 Publications

Publications by Year

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
655
1988
Vertex operator algebras associated to representations of affine and Virasoro algebras. Zbl 0848.17032
Frenkel, Igor B.; Zhu, Yongchang
337
1992
On axiomatic approaches to vertex operator algebras and modules. Zbl 0789.17022
Frenkel, Igor B.; Huang, Yi-Zhi; Lepowsky, James
332
1993
Basic representations of affine Lie algebras and dual resonance models. Zbl 0493.17010
Frenkel, I. B.; Kac, V. G.
235
1980
Quantum affine algebras and holonomic difference equations. Zbl 0760.17006
Frenkel, I. B.; Reshetikhin, N. Yu.
186
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.
109
1984
Vertex representations of quantum affine algebras. Zbl 0662.17006
Frenkel, Igor B.; Jing, Naihuan
101
1988
Lectures on representation theory and Knizhnik-Zamolodchikov equations. Zbl 0903.17006
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
87
1998
Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory. Zbl 0479.17003
Frenkel, I. B.
83
1981
Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases. Zbl 0892.57014
Crane, Louis; Frenkel, Igor B.
79
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.
74
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
74
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.
69
1993
Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions. Zbl 0974.17016
Frenkel, Igor B.; Turaev, Vladimir G.
62
1997
Classical affine algebras. Zbl 0601.17012
Feingold, Alex J.; Frenkel, Igor B.
59
1985
Canonical bases in tensor products and graphical calculus for \(U_ q(sl_ 2)\). Zbl 0883.17013
Frenkel, Igor B.; Khovanov, Mikhail G.
57
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.
45
1983
Spinor representations of affine Lie algebras. Zbl 0451.17004
Frenkel, I. B.
45
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
40
2006
Orbital theory for affine Lie algebras. Zbl 0548.17007
Frenkel, I. B.
38
1984
Spherical functions on affine Lie groups. Zbl 0848.43010
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
29
1995
A moonshine module for the monster. Zbl 0556.17008
Frenkel, Igor B.; Lepowsky, James; Meurman, Arne
28
1985
Vertex representations via finite groups and the McKay correspondence. Zbl 1011.17020
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
27
2000
Rademacher sums, moonshine and gravity. Zbl 1279.11045
Duncan, John F. R.; Frenkel, Igor B.
27
2011
Representations of Kac-Moody algebras and dual resonance models. Zbl 0558.17013
Frenkel, I. B.
26
1985
Categorifying fractional Euler characteristics, Jones-Wenzl projectors and \(3j\)-symbols. Zbl 1256.17006
Frenkel, Igor B.; Stroppel, Catharina; Sussan, Joshua
26
2012
Kazhdan-Lusztig polynomials and canonical basis. Zbl 0918.17012
Frenkel, I. B.; Khovanov, M. G.; Kirillov, A. A. jun.
24
1998
An introduction to the Monster. Zbl 0648.20030
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
24
1986
Vertex operator calculus. Zbl 0657.17010
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
20
1987
Central extensions of current groups in two dimensions. Zbl 0822.22014
Etingof, Pavel I.; Frenkel, Igor B.
19
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
Affine Lie algebras and tame quivers. Zbl 1002.16012
Frenkel, Igor; Malkin, Anton; Vybornov, Maxim
17
2001
Quaternionic analysis, representation theory and physics. Zbl 1167.30030
Frenkel, Igor; Libine, Matvei
17
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
17
2011
Introduction from the book “Algebras of vertex operators and the Monster”. Zbl 0759.20001
Frenkel, I.; Lepowsky, J.; Meurman, A.
16
1991
Representations of affine Lie algebras, Hecke modular forms and Korteweg- de Vries type equations. Zbl 0505.17008
Frenkel, I. B.
15
1982
Quantum vertex representations via finite groups and the McKay correspondence. Zbl 1011.17011
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
14
2000
Complex ADHM equations and sheaves on \(\mathbb P ^3\). Zbl 1145.14017
Frenkel, Igor B.; Jardim, Marcos
12
2008
Simplex equations and their solutions. Zbl 0749.17039
Frenkel, Igor; Moore, Gregory
11
1991
Positive representations of split real quantum groups and future perspectives. Zbl 1381.17009
Frenkel, Igor B.; Ip, Ivan C. H.
11
2014
Bases of representations of type \(A\) affine Lie algebras via quiver varieties and statistical mechanics. Zbl 1023.17010
Frenkel, Igor B.; Savage, Alistair
10
2003
Quantum Teichmüller space from the quantum plane. Zbl 1271.30020
Frenkel, Igor B.; Kim, Hyun Kyu
9
2012
Twisted vertex representations via spin groups and the McKay correspondence. Zbl 1100.17502
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
7
2002
Virasoro algebra and wreath product convolution. Zbl 0981.17021
Frenkel, Igor B.; Wang, Weiqiang
7
2001
Annihilating ideals and tilting functors. Zbl 0942.17017
Frenkel’, I. B.; Malikov, F. G.
7
1999
Spinor and oscillator representations of quantum groups. Zbl 0847.17013
Ding, Jintai; Frenkel, Igor B.
7
1994
Modified regular representations of affine and Virasoro algebras, VOA structure and semi-infinite cohomology. Zbl 1208.17021
Frenkel, Igor B.; Styrkas, Konstantin
7
2006
Complex counterpart of Chern-Simons-Witten theory and holomorphic linking. Zbl 1135.32021
Frenkel, Igor B.; Todorov, Andrey N.
5
2007
Anti de Sitter deformation of quaternionic analysis and the second-order pole. Zbl 1318.30080
Frenkel, Igor; Libine, Matvei
5
2015
Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces. Zbl 1285.14011
Feigin, Boris; Finkelberg, Michael; Frenkel, Igor; Rybnikov, Leonid
5
2011
A categorification of the boson-fermion correspondence via representation theory of \(sl(\infty)\). Zbl 1355.17032
Frenkel, Igor; Penkov, Ivan; Serganova, Vera
5
2016
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.
3
1996
Quantum instantons with classical moduli spaces. Zbl 1034.58025
Frenkel, Igor B.; Jardim, Marcos
3
2003
Trigonometric solutions of the Yang-Baxter equation, nets, and hypergeometric functions. Zbl 0864.57024
Frenkel, Igor B.; Turaev, Vladimir G.
3
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.
3
1992
Canonical basis and Macdonald polynomials. Zbl 0924.17006
Beck, Jonathan; Frenkel, Igor B.; Jing, Naihuan
3
1998
Homological realization of Nakajima varieties and Weyl group actions. Zbl 1095.17002
Frenkel, Igor; Khovanov, Mikhail; Schiffmann, Olivier
3
2005
Vertex algebras associated to modified regular representations of the Virasoro algebra. Zbl 1256.17011
Frenkel, Igor; Zhu, Minxian
3
2012
Quantum group as semi-infinite cohomology. Zbl 1196.81148
Frenkel, Igor B.; Zeitlin, Anton M.
3
2010
Beyond affine Lie algebras. Zbl 0668.17016
Frenkel, I. B.
2
1987
Canonical basis and homology of local systems. Zbl 0973.17016
Frenkel, Igor; Kirillov, Alexander jun.; Varchenko, Alexander
2
1997
Quaternionic analysis and the Schrödinger model for the minimal representation of \(O(3,3)\). Zbl 1261.30005
Frenkel, Igor; Libine, Matvei
1
2012
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
A categorification of the boson-fermion correspondence via representation theory of \(sl(\infty)\). Zbl 1355.17032
Frenkel, Igor; Penkov, Ivan; Serganova, Vera
5
2016
Anti de Sitter deformation of quaternionic analysis and the second-order pole. Zbl 1318.30080
Frenkel, Igor; Libine, Matvei
5
2015
Positive representations of split real quantum groups and future perspectives. Zbl 1381.17009
Frenkel, Igor B.; Ip, Ivan C. H.
11
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
26
2012
Quantum Teichmüller space from the quantum plane. Zbl 1271.30020
Frenkel, Igor B.; Kim, Hyun Kyu
9
2012
Vertex algebras associated to modified regular representations of the Virasoro algebra. Zbl 1256.17011
Frenkel, Igor; Zhu, Minxian
3
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.
27
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
17
2011
Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces. Zbl 1285.14011
Feigin, Boris; Finkelberg, Michael; Frenkel, Igor; Rybnikov, Leonid
5
2011
Quantum group as semi-infinite cohomology. Zbl 1196.81148
Frenkel, Igor B.; Zeitlin, Anton M.
3
2010
Quaternionic analysis, representation theory and physics. Zbl 1167.30030
Frenkel, Igor; Libine, Matvei
17
2008
Complex ADHM equations and sheaves on \(\mathbb P ^3\). Zbl 1145.14017
Frenkel, Igor B.; Jardim, Marcos
12
2008
Complex counterpart of Chern-Simons-Witten theory and holomorphic linking. Zbl 1135.32021
Frenkel, Igor B.; Todorov, Andrey N.
5
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
40
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
7
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
10
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
27
2000
Quantum vertex representations via finite groups and the McKay correspondence. Zbl 1011.17011
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang
14
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
74
1999
Annihilating ideals and tilting functors. Zbl 0942.17017
Frenkel’, I. B.; Malikov, F. G.
7
1999
Lectures on representation theory and Knizhnik-Zamolodchikov equations. Zbl 0903.17006
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
87
1998
Kazhdan-Lusztig polynomials and canonical basis. Zbl 0918.17012
Frenkel, I. B.; Khovanov, M. G.; Kirillov, A. A. jun.
24
1998
Canonical basis and Macdonald polynomials. Zbl 0924.17006
Beck, Jonathan; Frenkel, Igor B.; Jing, Naihuan
3
1998
Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions. Zbl 0974.17016
Frenkel, Igor B.; Turaev, Vladimir G.
62
1997
Canonical bases in tensor products and graphical calculus for \(U_ q(sl_ 2)\). Zbl 0883.17013
Frenkel, Igor B.; Khovanov, Mikhail G.
57
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.
3
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.
79
1994
Central extensions of current groups in two dimensions. Zbl 0822.22014
Etingof, Pavel I.; Frenkel, Igor B.
19
1994
Spinor and oscillator representations of quantum groups. Zbl 0847.17013
Ding, Jintai; Frenkel, Igor B.
7
1994
On axiomatic approaches to vertex operator algebras and modules. Zbl 0789.17022
Frenkel, Igor B.; Huang, Yi-Zhi; Lepowsky, James
332
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.
69
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
337
1992
Quantum affine algebras and holonomic difference equations. Zbl 0760.17006
Frenkel, I. B.; Reshetikhin, N. Yu.
186
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.
74
1991
Introduction from the book “Algebras of vertex operators and the Monster”. Zbl 0759.20001
Frenkel, I.; Lepowsky, J.; Meurman, A.
16
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
655
1988
Vertex representations of quantum affine algebras. Zbl 0662.17006
Frenkel, Igor B.; Jing, Naihuan
101
1988
Vertex operator calculus. Zbl 0657.17010
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
20
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.
59
1985
A moonshine module for the monster. Zbl 0556.17008
Frenkel, Igor B.; Lepowsky, James; Meurman, Arne
28
1985
Representations of Kac-Moody algebras and dual resonance models. Zbl 0558.17013
Frenkel, I. B.
26
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.
109
1984
Orbital theory for affine Lie algebras. Zbl 0548.17007
Frenkel, I. B.
38
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.
45
1983
Representations of affine Lie algebras, Hecke modular forms and Korteweg- de Vries type equations. Zbl 0505.17008
Frenkel, I. B.
15
1982
Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory. Zbl 0479.17003
Frenkel, I. B.
83
1981
Basic representations of affine Lie algebras and dual resonance models. Zbl 0493.17010
Frenkel, I. B.; Kac, V. G.
235
1980
Spinor representations of affine Lie algebras. Zbl 0451.17004
Frenkel, I. B.
45
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)

Citations by Year

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