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Tan, Shao Bin

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Author ID: tan.shao-bin Recent zbMATH articles by "Tan, Shao Bin"
Published as: Tan, S.; Tan, S. B.; Tan, Shao Bin; Tan, Shaobin
External Links: MGP · Wikidata
Documents Indexed: 90 Publications since 1991

Publications by Year

Citations contained in zbMATH

55 Publications have been cited 350 times in 248 Documents Cited by Year
Existence and uniqueness of smooth solution for system of ferromagnetic chain. Zbl 0752.35074
Zhou, Yuxin; Guo, Boling; Tan, Shaobin
26
1991
Representations of the Lie algebra of derivations for quantum torus. Zbl 1106.17020
Lin, Weiqiang; Tan, Shaobin
24
2004
Whittaker modules for the Schrödinger-Witt algebra. Zbl 1312.81124
Zhang, Xiufu; Tan, Shaobin; Lian, Haifeng
23
2010
Nonzero level Harish-Chandra modules over the Virasoro-like algebra. Zbl 1105.17014
Lin, Weiqiang; Tan, Shaobin
20
2006
Automorphisms and Verma modules for generalized Schrödinger-Virasoro algebras. Zbl 1228.17023
Tan, Shaobin; Zhang, Xiufu
18
2009
Twisted modules for quantum vertex algebras. Zbl 1231.17020
Li, Haisheng; Tan, Shaobin; Wang, Qing
17
2010
Vertex operator representations for toroidal Lie algebra of type \(B_l\). Zbl 1055.17015
Tan, Shaobin
17
1999
TKK algebras and vertex operator representations. Zbl 0934.17017
Tan, Shaobin
17
1999
Quasifinite modules of a Lie algebra related to Block type. Zbl 1136.17020
Wang, Qing; Tan, Shaobin
15
2007
Representations of a class of lattice type vertex algebras. Zbl 1043.17016
Berman, Stephen; Dong, Chongying; Tan, Shaobin
13
2002
On smooth solutions to the initial value problem for the mixed nonlinear Schrödinger equations. Zbl 0766.35051
Guo, Boling; Tan, Shaobin
12
1991
Principal construction of the toroidal Lie algebra of type \(A_1\). Zbl 0932.17028
Tan, Shaobin
11
1999
Leibniz central extension on a Block Lie algebra. Zbl 1197.17002
Wang, Qing; Tan, Shaobin
9
2007
Harish-Chandra modules for the \(q\)-analog Virasoro-like algebra. Zbl 1140.17013
Lin, Weiqiang; Tan, Shaobin
9
2006
A unified view of some vertex operator constructions. Zbl 1035.17038
Berman, Stephen; Gao, Yun; Tan, Shaobin
9
2003
Vertex operator representations for TKK algebras. Zbl 1222.17023
Mao, Xinhui; Tan, Shaobin
7
2007
Central extensions and derivations of the Lie algebras of skew derivations for the quantum torus. Zbl 1145.17305
Lin, Weiqiang; Tan, Shaobin
7
2005
Toroidal vertex algebras and their modules. Zbl 1345.17019
Li, Haisheng; Tan, Shaobin; Wang, Qing
6
2012
Blow-up solutions for mixed nonlinear Schrödinger equations. Zbl 1061.35139
Tan, Shaobin
6
2004
Bosonic realizations of higher-level toroidal Lie algebras. Zbl 1112.17022
Jing, Naihuan; Misra, Kailash; Tan, Shaobin
5
2005
Global smooth solution for coupled nonlinear wave equations. Zbl 0752.35061
Guo, Boling; Tan, Shaobin
5
1991
Twisted vertex operators and unitary Lie algebras. Zbl 1388.17012
Chen, Fulin; Gao, Yun; Jing, Naihuan; Tan, Shaobin
4
2015
On Whittaker modules for a Lie algebra arising from the 2-dimensional torus. Zbl 1367.17018
Tan, Shaobin; Wang, Qing; Xu, Chengkang
4
2015
Unitary representations for the Schrödinger-Virasoro Lie algebra. Zbl 1280.17023
Zhang, Xiufu; Tan, Shaobin
4
2013
Central extension, derivations and automorphism group for Lie algebras arising from the 2-dimensional torus. Zbl 1105.17006
Xue, Min; Lin, Weiqiang; Tan, Shaobin
4
2006
Beyond Borcherds Lie algebras and inside. Zbl 0973.17031
Berman, Stephen; Jurisich, Elizabeth; Tan, Shaobin
4
2001
On a weak solution of the mixed nonlinear Schrödinger equations. Zbl 0803.35141
Tan, Shaobin; Zhang, Linghai
4
1994
MVW-extensions of quaternionic classical groups. Zbl 1300.20056
Lin, Yanan; Sun, Binyong; Tan, Shaobin
3
2014
A class of irreducible integrable modules for the extended baby TKK algebra. Zbl 1276.17012
Chang, Xuewu; Tan, Shaobin
3
2011
Automorphism group and representation of a twisted multi-loop algebra. Zbl 1246.17006
Chen, Cui; Lian, Haifeng; Tan, Shaobin
3
2010
Graded modules over the \(q\)-analog Virasoro-like algebra. Zbl 1168.17015
Lin, Weiqiang; Tan, Shaobin
3
2008
Graded automorphism group of TKK algebra. Zbl 1192.17014
Ye, Congfeng; Tan, Shaobin
3
2008
First cohomology group from the Virasoro-like algebra to its Larsson functor module. Zbl 1133.17012
Wang, Qing; Tan, Shaobin
3
2007
Structure and representation for a class of infinite-dimensional Lie algebras. Zbl 1172.17015
Lian, Haifeng; Tan, Shaobin
3
2007
Long time behavior of solutions for nonlinear generalized evolution equation. Zbl 0850.35032
Tan, Shaobin; Han, Yongqian
3
1995
Global smooth solution for nonlinear evolution equation of Hirota type. Zbl 0764.35089
Guo, Boling; Tan, Shaobin
3
1992
On vertex Leibniz algebras. Zbl 1343.17020
Li, Haisheng; Tan, Shaobin; Wang, Qing
2
2013
\(\theta\)-unitary representations for the \(W\)-algebra \(W(2,2)\). Zbl 1266.17006
Zhang, Xiufu; Tan, Shaobin
2
2012
Long time behavior for the equation of finite-depth fluids. Zbl 0811.35099
Guo, Boling; Tan, Shaobin
2
1994
Cauchy problem for a generalized nonlinear dispersive equation. Zbl 0757.35070
Guo, Boling; Tan, Shaobin
2
1992
Drinfeld-type presentations of loop algebras. Zbl 07269821
Chen, Fulin; Jing, Naihuan; Kong, Fei; Tan, Shaobin
1
2020
Integrable representations for toroidal extended affine Lie algebras. Zbl 1433.17030
Chen, Fulin; Li, Zhiqiang; Tan, Shaobin
1
2019
Twisted quantum affinizations and their vertex representations. Zbl 1425.17018
Chen, Fulin; Jing, Naihuan; Kong, Fei; Tan, Shaobin
1
2018
A class of weight modules for the derivation Lie algebras of quantum tori. Zbl 1363.17023
Xu, Chengkang; Tan, Shaobin
1
2016
\(q\)-Virasoro algebra and vertex algebras. Zbl 1332.17022
Guo, Hongyan; Li, Haisheng; Tan, Shaobin; Wang, Qing
1
2015
Integrable representations for extended affine Lie algebras coordinated by quantum tori. Zbl 1302.17009
Chen, Fulin; Tan, Shaobin
1
2013
Vertex operator representations for a class of \(BC_\nu\)-graded Lie algebras. Zbl 1292.17018
Chen, Fulin; Tan, Shaobin
1
2012
Automorphism group of a class of gradation shifting toroidal Lie algebras. Zbl 1198.17011
Xia, Zhangsheng; Tan, Shaobin; Lian, Haifeng
1
2010
Irreducible representations for the baby Tits-Kantor-Koecher algebra. Zbl 1253.17016
Kong, Xiaoli; Tan, Shaobin
1
2010
Automorphism group for a class of Lie algebras over the quantum torus. Zbl 1174.17012
Zheng, Zhaojuan; Tan, Shaobin
1
2007
Structure and automorphism group of a class of derivation Lie algebras over the quantum torus. Zbl 1130.17011
Chen, Yuming; Xue, Min; Lin, Weiqiang; Tan, Shaobin
1
2005
Irreducible modules of generalized Virasoro-toroidal Lie algebras. Zbl 1034.17017
Tan, Shaobin
1
2002
Global solutions to the evolution equation of Schrödinger type with nonlocal term. Zbl 0785.35101
Tan, Shaobin
1
1993
On the Cauchy problem for the equation of finite-depth fluids. Zbl 0752.35053
Zhou, Yulin; Guo, Boling; Tan, Shaobin
1
1992
Finite difference solutions of the Landau-Lifshitz equations with Gilbert damping term. Zbl 0890.65091
Tan, Shaobin
1
1991
Drinfeld-type presentations of loop algebras. Zbl 07269821
Chen, Fulin; Jing, Naihuan; Kong, Fei; Tan, Shaobin
1
2020
Integrable representations for toroidal extended affine Lie algebras. Zbl 1433.17030
Chen, Fulin; Li, Zhiqiang; Tan, Shaobin
1
2019
Twisted quantum affinizations and their vertex representations. Zbl 1425.17018
Chen, Fulin; Jing, Naihuan; Kong, Fei; Tan, Shaobin
1
2018
A class of weight modules for the derivation Lie algebras of quantum tori. Zbl 1363.17023
Xu, Chengkang; Tan, Shaobin
1
2016
Twisted vertex operators and unitary Lie algebras. Zbl 1388.17012
Chen, Fulin; Gao, Yun; Jing, Naihuan; Tan, Shaobin
4
2015
On Whittaker modules for a Lie algebra arising from the 2-dimensional torus. Zbl 1367.17018
Tan, Shaobin; Wang, Qing; Xu, Chengkang
4
2015
\(q\)-Virasoro algebra and vertex algebras. Zbl 1332.17022
Guo, Hongyan; Li, Haisheng; Tan, Shaobin; Wang, Qing
1
2015
MVW-extensions of quaternionic classical groups. Zbl 1300.20056
Lin, Yanan; Sun, Binyong; Tan, Shaobin
3
2014
Unitary representations for the Schrödinger-Virasoro Lie algebra. Zbl 1280.17023
Zhang, Xiufu; Tan, Shaobin
4
2013
On vertex Leibniz algebras. Zbl 1343.17020
Li, Haisheng; Tan, Shaobin; Wang, Qing
2
2013
Integrable representations for extended affine Lie algebras coordinated by quantum tori. Zbl 1302.17009
Chen, Fulin; Tan, Shaobin
1
2013
Toroidal vertex algebras and their modules. Zbl 1345.17019
Li, Haisheng; Tan, Shaobin; Wang, Qing
6
2012
\(\theta\)-unitary representations for the \(W\)-algebra \(W(2,2)\). Zbl 1266.17006
Zhang, Xiufu; Tan, Shaobin
2
2012
Vertex operator representations for a class of \(BC_\nu\)-graded Lie algebras. Zbl 1292.17018
Chen, Fulin; Tan, Shaobin
1
2012
A class of irreducible integrable modules for the extended baby TKK algebra. Zbl 1276.17012
Chang, Xuewu; Tan, Shaobin
3
2011
Whittaker modules for the Schrödinger-Witt algebra. Zbl 1312.81124
Zhang, Xiufu; Tan, Shaobin; Lian, Haifeng
23
2010
Twisted modules for quantum vertex algebras. Zbl 1231.17020
Li, Haisheng; Tan, Shaobin; Wang, Qing
17
2010
Automorphism group and representation of a twisted multi-loop algebra. Zbl 1246.17006
Chen, Cui; Lian, Haifeng; Tan, Shaobin
3
2010
Automorphism group of a class of gradation shifting toroidal Lie algebras. Zbl 1198.17011
Xia, Zhangsheng; Tan, Shaobin; Lian, Haifeng
1
2010
Irreducible representations for the baby Tits-Kantor-Koecher algebra. Zbl 1253.17016
Kong, Xiaoli; Tan, Shaobin
1
2010
Automorphisms and Verma modules for generalized Schrödinger-Virasoro algebras. Zbl 1228.17023
Tan, Shaobin; Zhang, Xiufu
18
2009
Graded modules over the \(q\)-analog Virasoro-like algebra. Zbl 1168.17015
Lin, Weiqiang; Tan, Shaobin
3
2008
Graded automorphism group of TKK algebra. Zbl 1192.17014
Ye, Congfeng; Tan, Shaobin
3
2008
Quasifinite modules of a Lie algebra related to Block type. Zbl 1136.17020
Wang, Qing; Tan, Shaobin
15
2007
Leibniz central extension on a Block Lie algebra. Zbl 1197.17002
Wang, Qing; Tan, Shaobin
9
2007
Vertex operator representations for TKK algebras. Zbl 1222.17023
Mao, Xinhui; Tan, Shaobin
7
2007
First cohomology group from the Virasoro-like algebra to its Larsson functor module. Zbl 1133.17012
Wang, Qing; Tan, Shaobin
3
2007
Structure and representation for a class of infinite-dimensional Lie algebras. Zbl 1172.17015
Lian, Haifeng; Tan, Shaobin
3
2007
Automorphism group for a class of Lie algebras over the quantum torus. Zbl 1174.17012
Zheng, Zhaojuan; Tan, Shaobin
1
2007
Nonzero level Harish-Chandra modules over the Virasoro-like algebra. Zbl 1105.17014
Lin, Weiqiang; Tan, Shaobin
20
2006
Harish-Chandra modules for the \(q\)-analog Virasoro-like algebra. Zbl 1140.17013
Lin, Weiqiang; Tan, Shaobin
9
2006
Central extension, derivations and automorphism group for Lie algebras arising from the 2-dimensional torus. Zbl 1105.17006
Xue, Min; Lin, Weiqiang; Tan, Shaobin
4
2006
Central extensions and derivations of the Lie algebras of skew derivations for the quantum torus. Zbl 1145.17305
Lin, Weiqiang; Tan, Shaobin
7
2005
Bosonic realizations of higher-level toroidal Lie algebras. Zbl 1112.17022
Jing, Naihuan; Misra, Kailash; Tan, Shaobin
5
2005
Structure and automorphism group of a class of derivation Lie algebras over the quantum torus. Zbl 1130.17011
Chen, Yuming; Xue, Min; Lin, Weiqiang; Tan, Shaobin
1
2005
Representations of the Lie algebra of derivations for quantum torus. Zbl 1106.17020
Lin, Weiqiang; Tan, Shaobin
24
2004
Blow-up solutions for mixed nonlinear Schrödinger equations. Zbl 1061.35139
Tan, Shaobin
6
2004
A unified view of some vertex operator constructions. Zbl 1035.17038
Berman, Stephen; Gao, Yun; Tan, Shaobin
9
2003
Representations of a class of lattice type vertex algebras. Zbl 1043.17016
Berman, Stephen; Dong, Chongying; Tan, Shaobin
13
2002
Irreducible modules of generalized Virasoro-toroidal Lie algebras. Zbl 1034.17017
Tan, Shaobin
1
2002
Beyond Borcherds Lie algebras and inside. Zbl 0973.17031
Berman, Stephen; Jurisich, Elizabeth; Tan, Shaobin
4
2001
Vertex operator representations for toroidal Lie algebra of type \(B_l\). Zbl 1055.17015
Tan, Shaobin
17
1999
TKK algebras and vertex operator representations. Zbl 0934.17017
Tan, Shaobin
17
1999
Principal construction of the toroidal Lie algebra of type \(A_1\). Zbl 0932.17028
Tan, Shaobin
11
1999
Long time behavior of solutions for nonlinear generalized evolution equation. Zbl 0850.35032
Tan, Shaobin; Han, Yongqian
3
1995
On a weak solution of the mixed nonlinear Schrödinger equations. Zbl 0803.35141
Tan, Shaobin; Zhang, Linghai
4
1994
Long time behavior for the equation of finite-depth fluids. Zbl 0811.35099
Guo, Boling; Tan, Shaobin
2
1994
Global solutions to the evolution equation of Schrödinger type with nonlocal term. Zbl 0785.35101
Tan, Shaobin
1
1993
Global smooth solution for nonlinear evolution equation of Hirota type. Zbl 0764.35089
Guo, Boling; Tan, Shaobin
3
1992
Cauchy problem for a generalized nonlinear dispersive equation. Zbl 0757.35070
Guo, Boling; Tan, Shaobin
2
1992
On the Cauchy problem for the equation of finite-depth fluids. Zbl 0752.35053
Zhou, Yulin; Guo, Boling; Tan, Shaobin
1
1992
Existence and uniqueness of smooth solution for system of ferromagnetic chain. Zbl 0752.35074
Zhou, Yuxin; Guo, Boling; Tan, Shaobin
26
1991
On smooth solutions to the initial value problem for the mixed nonlinear Schrödinger equations. Zbl 0766.35051
Guo, Boling; Tan, Shaobin
12
1991
Global smooth solution for coupled nonlinear wave equations. Zbl 0752.35061
Guo, Boling; Tan, Shaobin
5
1991
Finite difference solutions of the Landau-Lifshitz equations with Gilbert damping term. Zbl 0890.65091
Tan, Shaobin
1
1991
all top 5

Cited by 221 Authors

41 Tan, Shao Bin
23 Li, Haisheng
21 Guo, Boling
16 Su, Yucai
13 Jing, Naihuan
9 Jiang, Cuipo
9 Li, JunBo
8 Zhang, Xiufu
7 Gao, Yun
7 Guo, Xiangqian
7 Lian, Haifeng
7 Tang, Xiaomin
7 Wang, Qing
7 Wang, Youde
7 Xia, Chunguang
7 Xu, Ying
6 Adamović, Dražen
6 Ding, Shijin
6 Liu, Dong
5 Chen, Fulin
5 Fa, Huanxia
5 Huo, Zhaohui
5 Kong, Fei
5 Lin, Weiqiang
5 Pei, Yufeng
5 Wang, Wei
5 Zhao, Kaiming
4 Batra, Punita
4 Chen, Haibo
4 Guo, Hongyan
4 Liu, Xuewen
4 Wang, Baoxiang
4 Wu, Yuezhu
4 Xu, Chongbin
3 Berman, Stephen
3 Billig, Yuly
3 Cai, Yanan
3 Ding, Weiyue
3 Eswara Rao, Senapathi
3 Fang, Shaomei
3 Han, Jianzhi
3 Hu, Naihong
3 Kong, Xiaoli
3 Lü, Rencai
3 Misra, Kailash C.
3 Pu, Xueke
3 Sharma, Sachin S.
3 Wang, Qing
3 Wang, Qing
3 Xia, Limeng
3 Xu, Chengkang
3 Yue, Xiaoqing
2 Chen, Cui
2 Chen, Ling
2 Cheng, Yongsheng
2 Fu, Jiayuan
2 Gao, Ming
2 Hayashi, Masayuki
2 Jia, Yueling
2 Jiang, Jingjing
2 Jiang, Jinglian
2 Li, Ze
2 Li, Zhiqiang
2 Lin, Shangyuan
2 Liu, Genqiang
2 Mangum, Chad R.
2 Meng, Daoji
2 Moşincat, Răzvan O.
2 Ning, Cui
2 Ozawa, Tohru
2 Radobolja, Gordan
2 Shen, Ran
2 Song, Guang’ai
2 Su, Fengqiu
2 Sun, Jiancai
2 Wang, Hongyu
2 Wang, Qing
2 Wei, Zhen
2 Wu, Yifei
2 Xia, Zhangsheng
2 Xin, Bin
2 Xu, Jinli
2 Ye, Congfeng
2 You, Taijie
2 Yuan, Lamei
2 Zeng, Bo
2 Zeng, Ziting
2 Zhang, Honglian
2 Zhang, Linghai
2 Zhao, Lifeng
2 Zhao, Yufeng
2 Zheng, Yelong
1 Bai, Chengming
1 Bai, Ruobing
1 Calderón Martín, Antonio Jesús
1 Cao, Bintao
1 Caveny, Deanna M.
1 Chang, Nai-Heng
1 Chang, Xuewu
1 Chen, Hongjia
...and 121 more Authors
all top 5

Cited in 56 Serials

36 Journal of Algebra
24 Communications in Algebra
17 Algebra Colloquium
17 Frontiers of Mathematics in China
16 Journal of Pure and Applied Algebra
16 Acta Mathematica Sinica. English Series
11 Journal of Mathematical Physics
8 Journal of Differential Equations
7 Communications in Mathematical Physics
6 Journal of Mathematical Analysis and Applications
6 Journal of Algebra and its Applications
5 Advances in Mathematics
5 Science in China. Series A
5 Communications in Contemporary Mathematics
4 Acta Mathematicae Applicatae Sinica. English Series
4 Linear Algebra and its Applications
4 Algebras and Representation Theory
4 Science China. Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Transactions of the American Mathematical Society
3 Calculus of Variations and Partial Differential Equations
2 Journal of Geometry and Physics
2 Chinese Annals of Mathematics. Series B
2 Journal of the American Mathematical Society
2 International Journal of Mathematics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Communications in Nonlinear Science and Numerical Simulation
2 Nonlinear Analysis. Theory, Methods & Applications
1 Applicable Analysis
1 Israel Journal of Mathematics
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Chaos, Solitons and Fractals
1 Colloquium Mathematicum
1 Journal of Functional Analysis
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Applied Mathematics and Mechanics. (English Edition)
1 Bulletin of the Iranian Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Forum Mathematicum
1 Japan Journal of Industrial and Applied Mathematics
1 Acta Mathematica Sinica. New Series
1 Journal of Nonlinear Science
1 Applied Mathematics. Series B (English Edition)
1 Journal of Lie Theory
1 Discrete and Continuous Dynamical Systems
1 Transformation Groups
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Mediterranean Journal of Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 S\(\vec{\text{e}}\)MA Journal
1 Communications in Mathematics and Statistics
1 Evolution Equations and Control Theory
1 Open Mathematics

Citations by Year

Wikidata Timeline

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