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## Su, Yucai

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 Author ID: su.yucai Published as: Su, Yucai; Su, Yu Cai; Su, Yu-Cai Homepage: http://dsxt.ustc.edu.cn/zj_ywjs.asp?zzid=760 External Links: MGP · ResearchGate
 Documents Indexed: 143 Publications since 1988 Reviewing Activity: 55 Reviews
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#### Co-Authors

 35 single-authored 11 Han, Jianzhi 10 Li, JunBo 10 Song, Guang’ai 10 Yue, Xiaoqing 8 Zhang, Ruibin 8 Zhao, Kaiming 7 Chen, Haibo 6 Zhu, Linsheng 5 Xia, Chunguang 5 Xin, Bin 4 Fan, Guangzhe 4 He, Jingsong 4 Hong, Yanyong 4 Wu, Yuezhu 4 Xu, Xiaoping 4 Xu, Ying 4 Yuan, Lamei 3 Chen, Qiufan 3 Cheng, Yongsheng 3 Jiang, Qifen 3 Rui, Hebing 3 Shen, Ran 3 Zhou, Jianhua 2 Chen, Guobo 2 Fu, Jiayuan 2 Li, Chuanzhong 2 Lin, Weiqiang 2 Liu, Wende 2 Tian, Kelei 2 Wu, Henan 2 Yang, Hengyun 2 Yang, Xi’an 2 Zhang, Hechun 1 Cheng, Dejia 1 Cheng, Yi 1 Dai, Xiansheng 1 Gao, Mengmeng 1 Gao, Ming 1 Gao, Yun 1 Hua, Xiuying 1 Hughes, J. W. B. 1 Jiang, Cuipo 1 King, Ronald C. 1 Mao, Huan 1 Song, Linliang 1 Tan, Shao Bin 1 Wang, Song 1 Wang, Wei 1 Zhang, Chenglin 1 Zhang, Jiangfeng 1 Zhang, Yongzheng 1 Zhu, Lin 1 Zhu, Xiaoyu
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#### Serials

 20 Communications in Algebra 17 Journal of Mathematical Physics 15 Journal of Algebra 9 Science in China. Series A 8 Acta Mathematica Sinica. English Series 4 Journal of Pure and Applied Algebra 4 International Journal of Mathematics 4 Algebra Colloquium 3 Communications in Mathematical Physics 3 Israel Journal of Mathematics 3 Advances in Mathematics 3 Manuscripta Mathematica 3 Chinese Annals of Mathematics. Series B 3 Journal of Xiamen University. Natural Science 3 Frontiers of Mathematics in China 2 Journal of Geometry and Physics 2 Acta Mathematica Sinica 2 Pacific Journal of Mathematics 2 Linear Algebra and its Applications 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Science China. Mathematics 1 Letters in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Canadian Journal of Mathematics 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Journal of Mathematics. Wuhan University 1 Journal of Mathematical Research & Exposition 1 Chinese Annals of Mathematics. Series A 1 Advances in Mathematics 1 Journal of Systems Science and Mathematical Sciences 1 Northeastern Mathematical Journal 1 Chinese Science Bulletin 1 Transformation Groups 1 Algebras and Representation Theory 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of University of Science and Technology of China 1 Journal of Algebra and its Applications 1 Mediterranean Journal of Mathematics 1 Communications in Theoretical Physics
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#### Fields

 140 Nonassociative rings and algebras (17-XX) 11 Quantum theory (81-XX) 8 Associative rings and algebras (16-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Topological groups, Lie groups (22-XX) 3 Partial differential equations (35-XX) 2 Number theory (11-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX)

#### Citations contained in zbMATH Open

115 Publications have been cited 1,082 times in 392 Documents Cited by Year
Classification of Harish-Chandra modules over the higher rank Virasoro algebras. Zbl 1041.17026
Su, Yucai
2003
Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series. Zbl 1035.17036
Su, Yucai; Zhao, Kaiming
2002
Lie bialgebras of generalized Witt type. Zbl 1171.17007
Song, Guang’ai; Su, Yucai
2006
Quasifinite representations of a Lie algebra of Block type. Zbl 1128.17006
Su, Yucai
2004
Representations of the Schrödinger-Virasoro algebras. Zbl 1152.81529
Li, Junbo; Su, Yucai
2008
Derivation-simple algebras and the structures of Lie algebras of Witt type. Zbl 0974.17009
Su, Yucai; Xu, Xiaoping; Zhang, Hechun
2000
Lie bialgebras of generalized Virasoro-like type. Zbl 1116.17013
Wu, Yue Zhu; Song, Guang Ai; Su, Yu Cai
2006
Classification of quasifinite modules over the Lie algebras of Weyl type. Zbl 1091.17004
Su, Yucai
2003
Classification of Harish-Chandra modules over the super-Virasoro algebras. Zbl 0836.17019
Su, Yucai
1995
Block type symmetry of bigraded Toda hierarchy. Zbl 1273.37038
Li, Chuanzhong; He, Jingsong; Su, Yucai
2012
A classification of indecomposable $$sl_ 2(\mathbb{C})$$-modules and a conjecture of Kac on irreducible modules over the Virasoro algebra. Zbl 0810.17017
Su, Yucai
1993
Structure of the Lie algebras related to those of Block. Zbl 1043.17015
Su, Yucai; Zhou, Jianhua
2002
Lie bialgebra structures on the Schrödinger-Virasoro Lie algebra. Zbl 1234.17016
Han, Jianzhi; Li, Junbo; Su, Yucai
2009
Second cohomology group of generalized Witt type Lie algebras and certain representations. Zbl 1043.17012
Su, Yucai; Zhao, Kaiming
2002
Harish-Chandra modules of the intermediate series over the high rank Virasoro algebras and high rank super-Virasoro algebras. Zbl 0802.17023
Su, Yucai
1994
Character and dimension formulae for general linear superalgebra. Zbl 1166.17002
Su, Yucai; Zhang, R. B.
2007
2-cocycles on the Lie algebras of generalized differential operators. Zbl 1043.17011
Su, Yucai
2002
Low dimensional cohomology of general conformal algebras $$\mathfrak{gc}_ N$$. Zbl 1070.17007
Su, Yucai
2004
Schrödinger-Virasoro Lie conformal algebra. Zbl 1366.17027
Su, Yucai; Yuan, Lamei
2013
(Co)homology and universal central extension of Hom-Leibniz algebras. Zbl 1250.17001
Cheng, Yongsheng; Su, Yucai
2011
Lie bialgebras of generalized Witt type. II. Zbl 1130.17010
Wu, Yuezhu; Song, Guang’ai; Su, Yucai
2007
2-cocycles of original deformative Schrödinger-Virasoro algebras. Zbl 1218.17015
Li, Junbo; Su, Yucai; Zhu, Linsheng
2008
Simple modules over the high rank Virasoro algebras. Zbl 0987.17013
Su, Yucai
2001
Filtered Lie conformal algebras whose associated graded algebras are isomorphic to that of general conformal algebra. Zbl 1269.17010
Su, Yucai; Yue, Xiaoqing
2011
Lie super-bialgebra structures on the Ramond $$N = 2$$ super-Virasoro algebra. Zbl 1197.81144
Yang, Hengyun; Su, Yucai
2009
Lie bialgebra structures on Lie algebras of generalized Weyl type. Zbl 1200.17011
Yue, Xiaoqing; Su, Yucai
2008
Structure of divergence-free Lie algebras. Zbl 1008.17005
Su, Yucai; Xu, Xiaoping
2001
Lie bialgebras of a family of Lie algebras of Block type. Zbl 1225.17025
Li, Junbo; Su, Yucai; Xin, Bin
2008
Classification of infinite dimensional weight modules over the Lie superalgebra $$\text{sl}(2/1)$$. Zbl 1076.17003
Su, Yucai
2001
Quasifinite representations of a family of Lie algebras of Block type. Zbl 1051.17006
Su, Yucai
2004
Classification of quasifinite representations of a Lie algebra related to Block type. Zbl 1338.17012
Su, Yucai; Xia, Chunguang; Xu, Ying
2013
Simple Lie color algebras of Weyl type. Zbl 1232.17041
Su, Yucai; Zhao, Kaiming; Zhu, Linsheng
2003
Simple algebras of Weyl type. Zbl 1006.16003
Su, Yucai; Zhao, Kaiming
2001
Isomorphism classes and automorphism groups of algebras of Weyl type. Zbl 1119.17302
Su, Yucai; Zhao, Kaiming
2002
Lie bialgebra structures on the centerless $$W$$-algebra $$W(2,2)$$. Zbl 1260.17018
Li, Junbo; Su, Yucai; Xin, Bin
2010
Classification of finite dimensional modules of the Lie superalgebra $$sl(2/1)$$. Zbl 0768.17003
Su, Yucai
1992
Derivation algebras of centerless perfect Lie algebras are complete. Zbl 1154.17303
Su, Yucai; Zhu, Linsheng
2005
Hamiltonian type Lie bialgebras. Zbl 1136.17018
Xin, Bin; Song, Guangai; Su, Yucai
2007
Quantization of generalized Virasoro-like algebras. Zbl 1137.17019
Song, Guang’ai; Su, Yucai; Wu, Yuezhu
2008
Affine walled Brauer algebras and super Schur-Weyl duality. Zbl 1356.17012
Rui, Hebing; Su, Yucai
2015
Some representations of nongraded Lie algebras of generalized Witt type. Zbl 1016.17004
Su, Yucai; Zhou, Jianhua
2001
Classification of irreducible weight modules with a finite-dimensional weight space over twisted Heisenberg-Virasoro algebra. Zbl 1108.17001
Shen, Ran; Su, Yucai
2007
Quasifinite representations of a class of Block type Lie algebras $$\mathcal B(q)$$. Zbl 1254.17009
Su, Yucai; Xia, Chunguang; Xu, Ying
2012
Derivations and structure of the Lie algebras of Xu type. Zbl 1037.17026
Su, Yucai
2001
Loop Heisenberg-Virasoro Lie conformal algebra. Zbl 1366.17025
Fan, Guangzhe; Su, Yucai; Wu, Henan
2014
Verma modules over the generalized Heisenberg-Virasoro algebra. Zbl 1209.17019
Shen, Ran; Jiang, Qifen; Su, Yucai
2008
Cohomology of Lie superalgebras $$\mathfrak{sl}_{m|n}$$ and $$\mathfrak{osp}_{2|2n}$$. Zbl 1118.17005
Su, Yucai; Zhang, R. B.
2007
Derivations of generalized Weyl algebras. Zbl 1217.16037
Su, Yucai
2003
Generalised Verma modules for the orthosymplectic Lie superalgebra $$\mathfrak {osp}_{k|2}$$. Zbl 1315.17005
Su, Yucai; Zhang, R. B.
2012
Classification of derivation-simple color algebras related to locally finite derivations. Zbl 1070.17013
Su, Yucai; Zhao, Kaiming; Zhu, Linsheng
2004
Structure of algebras of Weyl type. Zbl 1092.17015
Su, Yucai; Zhao, Kaiming
2004
Highest weight representations of a Lie algebra of Block type. Zbl 1160.17008
Wu, Yuezhu; Su, Yucai
2007
Structure of Lie superalgebras of Block type related to locally finite derivations. Zbl 1037.17027
Su, Yucai
2003
Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type. Zbl 1391.17008
Su, Yucai; Xia, Chunguang; Yuan, Lamei
2018
Classification of modules of the intermediate series over Ramond $$N=2$$ superconformal algebras. Zbl 1137.17312
Fu, Jiayuan; Jiang, Qifen; Su, Yucai
2007
Generalised Jantzen filtration of Lie superalgebras. I. Zbl 1295.17008
Su, Yucai; Zhang, R. B.
2012
String equations of the $$q$$-KP hierarchy. Zbl 1259.35187
Tian, Kelei; He, Jingsong; Su, Yucai; Cheng, Yi
2011
Primitive vectors of Kac-modules of the Lie superalgebras $$\text{sl}(m/n)$$. Zbl 0988.17004
Su, Yucai; Hughes, J. W. B.; King, R. C.
2000
Block (or Hamiltonian) Lie symmetry of dispersionless $$D$$-type Drinfeld-Sokolov hierarchy. Zbl 1288.37022
Li, Chuan-Zhong; He, Jing-Song; Su, Yu-Cai
2014
Composition factors of Kac modules for the general linear Lie superalgebras. Zbl 1106.17008
Su, Yucai
2006
Lie super-bialgebra structures on generalized super-Virasoro algebras. Zbl 1224.17030
Yang, Hengyun; Su, Yucai
2010
Simple modules over the higher-rank super-Virasoro algebras. Zbl 0977.17022
Su, Yucai
2000
Classification of indecomposable modules of the intermediate series over the twisted $$N = 2$$ superconformal algebra. Zbl 1312.17015
Li, Junbo; Su, Yucai; Zhu, Linsheng
2010
Extending structures for Lie conformal algebras. Zbl 1378.17043
Hong, Yanyong; Su, Yucai
2017
Derivations and 2-cocycles of contact Lie algebras related to locally-finite derivations. Zbl 1069.17010
Song, Guang’ai; Su, Yucai
2004
2-cocycles of the Lie superalgebras of Weyl type. Zbl 1103.17006
Song, Guang’ai; Su, Yucai
2005
Quasi-finite irreducible graded modules for the Virasoro-like algebra. Zbl 1306.17013
Lin, Weiqiang; Su, Yucai
2013
Classification of $$\mathbb{Z}^{2}$$-graded modules of intermediate series over a Block-type Lie algebra. Zbl 1366.17022
Su, Yucai; Yue, Xiaoqing
2015
Highest weight vectors of mixed tensor products of general linear Lie superalgebras. Zbl 1359.17014
Rui, Hebing; Su, Yucai
2015
Character and dimension formulae for queer Lie superalgebra. Zbl 1339.17009
Su, Yucai; Zhang, R. B.
2015
Poisson brackets and structure of nongraded Hamiltonian Lie algebras related to locally-finite derivations. Zbl 1047.17011
Su, Yucai
2003
On indecomposable modules over the Virasoro algebra. Zbl 1019.17009
Su, Yucai
2001
Quantization of Hamiltonian-type Lie algebras. Zbl 1239.17013
Song, Guang’ai; Su, Yucai; Xin, Bin
2009
Quantizations of the $$W$$-algebra $$W(2,2)$$. Zbl 1273.17021
Li, Junbo; Su, Yucai
2011
Classification of finite dimensional modules of singly atypical type over the Lie superalgebras $$\text{sl}(m/n)$$. Zbl 1029.17006
Su, Yucai
2000
Infinite rank Schrödinger-Virasoro type Lie conformal algebras. Zbl 1344.81132
Fan, Guangzhe; Su, Yucai; Xia, Chunguang
2016
Loop Schrödinger-Virasoro Lie conformal algebra. Zbl 1395.17060
Chen, Haibo; Han, Jianzhi; Su, Yucai; Xu, Ying
2016
Irreducible quasi-finite representations of a Block type Lie algebra. Zbl 1291.17006
Gao, Ming; Gao, Yun; Su, Yucai
2014
Modules over the algebra $$\mathcal{V}ir(a,b)$$. Zbl 1403.17028
Han, Jianzhi; Chen, Qiufan; Su, Yucai
2017
Quantum deformations of the Heisenberg-Virasoro algebra. Zbl 1310.17007
Cheng, Yongsheng; Su, Yucai
2013
A family of new simple modules over the Schrödinger-Virasoro algebra. Zbl 1403.17009
Chen, Haibo; Hong, Yanyong; Su, Yucai
2018
Generalised Jantzen filtration of exceptional Lie superalgebras. Zbl 1403.17010
Su, Yucai; Zhang, R. B.
2016
Structure of contact Lie algebras related to locally-finite derivations. Zbl 1053.17015
Su, Yucai; Xu, Xiaoping
2003
Classification of quasifinite $${\mathcal W}_{\infty}$$-modules. Zbl 1128.17022
Su, Yucai; Xin, Bin
2006
Central simple Poisson algebras. Zbl 1124.17302
Su, Yucai; Xu, Xiaoping
2004
Leibniz central extension on centerless twisted Schrödinger-Virasoro algebra. Zbl 1186.17001
Li, Junbo; Su, Yucai
2008
Quasifinite representations of some Lie algebras related to the Virasoro algebra. Zbl 1232.17037
Su, Yucai
2009
A class of nongraded simple Lie algebras. Zbl 1121.17007
Su, Yucai; Zhou, Jianhua
2004
Classification of quasifinite modules over Lie algebras of matrix differential operators on the circle. Zbl 1097.17008
Su, Yucai
2005
Quantization of Schrödinger-Virasoro Lie algebra. Zbl 1251.17011
Su, Yucai; Yuan, Lamei
2010
Structures of not-finitely graded Lie algebras related to generalized Virasoro algebras. Zbl 1317.17033
Chen, Qiufan; Han, Jianzhi; Su, Yucai
2015
Dual Lie bialgebra structures of Poisson types. Zbl 1359.17032
Song, Guang’ai; Su, Yucai
2015
Symmetric $$q$$-deformed KP hierarchy. Zbl 1310.35209
Tian, Kelei; He, Jingsong; Su, Yucai
2015
Weakly primitive vectors of Kac-modules of the Lie superalgebras sl$$(m/n)$$. Zbl 1063.17019
Su, Yucai
2001
Structure of a new class of non-graded infinite-dimensional simple Lie algebras. Zbl 1037.17028
Su, Yucai
2003
Structures of generalized loop super-Virasoro algebras. Zbl 1357.17025
Dai, Xiansheng; Han, Jianzhi; Su, Yucai
2015
Highest weight representations of a family of Lie algebras of Block type. Zbl 1148.17005
Yue, Xiaoqing; Su, Yucai
2008
A class of simple weight modules over the twisted Heisenberg-Virasoro algebra. Zbl 1349.81149
Chen, Haibo; Han, Jianzhi; Su, Yucai
2016
Structures of generalized loop Schrödinger-Virasoro algebras. Zbl 1422.17025
Chen, Haibo; Fan, Guangzhe; Han, Jianzhi; Su, Yucai
2018
Extensions of conformal modules over Lie conformal algebras of Block type. Zbl 1459.17019
Su, Yucai; Xia, Chunguang; Yuan, Lamei
2020
Extensions of conformal modules over Lie conformal algebras of Block type. Zbl 1459.17019
Su, Yucai; Xia, Chunguang; Yuan, Lamei
2020
Dual Lie bialgebra structures of $$W$$-algebra $$W(2, 2)$$ type. Zbl 1435.17023
Song, Guang Ai; Su, Yu Cai; Yue, Xiao Qing
2019
Two classes of non-weight modules over the twisted Heisenberg-Virasoro algebra. Zbl 07084788
Chen, Haibo; Han, Jianzhi; Su, Yucai; Yue, Xiaoqing
2019
Affine walled Brauer-Clifford superalgebras. Zbl 1462.17013
Gao, Mengmeng; Rui, Hebing; Song, Linliang; Su, Yucai
2019
Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type. Zbl 1391.17008
Su, Yucai; Xia, Chunguang; Yuan, Lamei
2018
A family of new simple modules over the Schrödinger-Virasoro algebra. Zbl 1403.17009
Chen, Haibo; Hong, Yanyong; Su, Yucai
2018
Structures of generalized loop Schrödinger-Virasoro algebras. Zbl 1422.17025
Chen, Haibo; Fan, Guangzhe; Han, Jianzhi; Su, Yucai
2018
Extending structures for Lie conformal algebras. Zbl 1378.17043
Hong, Yanyong; Su, Yucai
2017
Modules over the algebra $$\mathcal{V}ir(a,b)$$. Zbl 1403.17028
Han, Jianzhi; Chen, Qiufan; Su, Yucai
2017
Infinite rank Schrödinger-Virasoro type Lie conformal algebras. Zbl 1344.81132
Fan, Guangzhe; Su, Yucai; Xia, Chunguang
2016
Loop Schrödinger-Virasoro Lie conformal algebra. Zbl 1395.17060
Chen, Haibo; Han, Jianzhi; Su, Yucai; Xu, Ying
2016
Generalised Jantzen filtration of exceptional Lie superalgebras. Zbl 1403.17010
Su, Yucai; Zhang, R. B.
2016
A class of simple weight modules over the twisted Heisenberg-Virasoro algebra. Zbl 1349.81149
Chen, Haibo; Han, Jianzhi; Su, Yucai
2016
Affine walled Brauer algebras and super Schur-Weyl duality. Zbl 1356.17012
Rui, Hebing; Su, Yucai
2015
Classification of $$\mathbb{Z}^{2}$$-graded modules of intermediate series over a Block-type Lie algebra. Zbl 1366.17022
Su, Yucai; Yue, Xiaoqing
2015
Highest weight vectors of mixed tensor products of general linear Lie superalgebras. Zbl 1359.17014
Rui, Hebing; Su, Yucai
2015
Character and dimension formulae for queer Lie superalgebra. Zbl 1339.17009
Su, Yucai; Zhang, R. B.
2015
Structures of not-finitely graded Lie algebras related to generalized Virasoro algebras. Zbl 1317.17033
Chen, Qiufan; Han, Jianzhi; Su, Yucai
2015
Dual Lie bialgebra structures of Poisson types. Zbl 1359.17032
Song, Guang&rsquo;ai; Su, Yucai
2015
Symmetric $$q$$-deformed KP hierarchy. Zbl 1310.35209
Tian, Kelei; He, Jingsong; Su, Yucai
2015
Structures of generalized loop super-Virasoro algebras. Zbl 1357.17025
Dai, Xiansheng; Han, Jianzhi; Su, Yucai
2015
Loop Heisenberg-Virasoro Lie conformal algebra. Zbl 1366.17025
Fan, Guangzhe; Su, Yucai; Wu, Henan
2014
Block (or Hamiltonian) Lie symmetry of dispersionless $$D$$-type Drinfeld-Sokolov hierarchy. Zbl 1288.37022
Li, Chuan-Zhong; He, Jing-Song; Su, Yu-Cai
2014
Irreducible quasi-finite representations of a Block type Lie algebra. Zbl 1291.17006
Gao, Ming; Gao, Yun; Su, Yucai
2014
Indecomposable modules of the intermediate series over $$\mathcal W(a, b)$$. Zbl 1291.17008
Su, Yucai; Xu, Ying; Yue, Xiaoqing
2014
Lie bialgebras of not-finitely graded Lie algebras related to generalized Virasoro algebras. Zbl 1293.17025
Chen, Qiufan; Han, Jianzhi; Su, Yucai
2014
Schrödinger-Virasoro Lie conformal algebra. Zbl 1366.17027
Su, Yucai; Yuan, Lamei
2013
Classification of quasifinite representations of a Lie algebra related to Block type. Zbl 1338.17012
Su, Yucai; Xia, Chunguang; Xu, Ying
2013
Quasi-finite irreducible graded modules for the Virasoro-like algebra. Zbl 1306.17013
Lin, Weiqiang; Su, Yucai
2013
Quantum deformations of the Heisenberg-Virasoro algebra. Zbl 1310.17007
Cheng, Yongsheng; Su, Yucai
2013
Structures of generalized map Virasoro algebras. Zbl 1297.81099
Su, Yucai; Wu, Henan; Wang, Song; Yue, Xiaoqing
2013
Block type symmetry of bigraded Toda hierarchy. Zbl 1273.37038
Li, Chuanzhong; He, Jingsong; Su, Yucai
2012
Quasifinite representations of a class of Block type Lie algebras $$\mathcal B(q)$$. Zbl 1254.17009
Su, Yucai; Xia, Chunguang; Xu, Ying
2012
Generalised Verma modules for the orthosymplectic Lie superalgebra $$\mathfrak {osp}_{k|2}$$. Zbl 1315.17005
Su, Yucai; Zhang, R. B.
2012
Generalised Jantzen filtration of Lie superalgebras. I. Zbl 1295.17008
Su, Yucai; Zhang, R. B.
2012
(Co)homology and universal central extension of Hom-Leibniz algebras. Zbl 1250.17001
Cheng, Yongsheng; Su, Yucai
2011
Filtered Lie conformal algebras whose associated graded algebras are isomorphic to that of general conformal algebra. Zbl 1269.17010
Su, Yucai; Yue, Xiaoqing
2011
String equations of the $$q$$-KP hierarchy. Zbl 1259.35187
Tian, Kelei; He, Jingsong; Su, Yucai; Cheng, Yi
2011
Quantizations of the $$W$$-algebra $$W(2,2)$$. Zbl 1273.17021
Li, Junbo; Su, Yucai
2011
Lie bialgebra structures on the centerless $$W$$-algebra $$W(2,2)$$. Zbl 1260.17018
Li, Junbo; Su, Yucai; Xin, Bin
2010
Lie super-bialgebra structures on generalized super-Virasoro algebras. Zbl 1224.17030
Yang, Hengyun; Su, Yucai
2010
Classification of indecomposable modules of the intermediate series over the twisted $$N = 2$$ superconformal algebra. Zbl 1312.17015
Li, Junbo; Su, Yucai; Zhu, Linsheng
2010
Quantization of Schrödinger-Virasoro Lie algebra. Zbl 1251.17011
Su, Yucai; Yuan, Lamei
2010
Quantization of Lie algebras of Block type. Zbl 1240.17050
Cheng, Yongsheng; Su, Yucai
2010
Lie bialgebra structures on the Schrödinger-Virasoro Lie algebra. Zbl 1234.17016
Han, Jianzhi; Li, Junbo; Su, Yucai
2009
Lie super-bialgebra structures on the Ramond $$N = 2$$ super-Virasoro algebra. Zbl 1197.81144
Yang, Hengyun; Su, Yucai
2009
Quantization of Hamiltonian-type Lie algebras. Zbl 1239.17013
Song, Guang&rsquo;ai; Su, Yucai; Xin, Bin
2009
Quasifinite representations of some Lie algebras related to the Virasoro algebra. Zbl 1232.17037
Su, Yucai
2009
Second homology groups and universal coverings of Steinberg Leibniz algebras of small characteristic. Zbl 1173.17004
Jiang, Qifen; Shen, Ran; Su, Yucai
2009
Derivations of the even part of the odd Hamiltonian superalgebra in modular case. Zbl 1222.17018
Liu, Wende; Hua, Xiuying; Su, Yucai
2009
Irreducible weight modules over the twisted Schrödinger-Virasoro algebra. Zbl 1210.17032
Li, Junbo; Su, Yucai
2009
Quantization of Block type algebras. Zbl 1224.17029
Li, Junbo; Su, Yucai
2009
Modules for the core of extended affine Lie algebras of type $$A_1$$ with coordinates in rank 2 quantum tori. Zbl 1250.17036
Lin, Weiqiang; Su, Yucai
2009
Representations of the Schrödinger-Virasoro algebras. Zbl 1152.81529
Li, Junbo; Su, Yucai
2008
2-cocycles of original deformative Schrödinger-Virasoro algebras. Zbl 1218.17015
Li, Junbo; Su, Yucai; Zhu, Linsheng
2008
Lie bialgebra structures on Lie algebras of generalized Weyl type. Zbl 1200.17011
Yue, Xiaoqing; Su, Yucai
2008
Lie bialgebras of a family of Lie algebras of Block type. Zbl 1225.17025
Li, Junbo; Su, Yucai; Xin, Bin
2008
Quantization of generalized Virasoro-like algebras. Zbl 1137.17019
Song, Guang&rsquo;ai; Su, Yucai; Wu, Yuezhu
2008
Verma modules over the generalized Heisenberg-Virasoro algebra. Zbl 1209.17019
Shen, Ran; Jiang, Qifen; Su, Yucai
2008
Leibniz central extension on centerless twisted Schrödinger-Virasoro algebra. Zbl 1186.17001
Li, Junbo; Su, Yucai
2008
Highest weight representations of a family of Lie algebras of Block type. Zbl 1148.17005
Yue, Xiaoqing; Su, Yucai
2008
Character and dimension formulae for general linear superalgebra. Zbl 1166.17002
Su, Yucai; Zhang, R. B.
2007
Lie bialgebras of generalized Witt type. II. Zbl 1130.17010
Wu, Yuezhu; Song, Guang&rsquo;ai; Su, Yucai
2007
Hamiltonian type Lie bialgebras. Zbl 1136.17018
Xin, Bin; Song, Guangai; Su, Yucai
2007
Classification of irreducible weight modules with a finite-dimensional weight space over twisted Heisenberg-Virasoro algebra. Zbl 1108.17001
Shen, Ran; Su, Yucai
2007
Cohomology of Lie superalgebras $$\mathfrak{sl}_{m|n}$$ and $$\mathfrak{osp}_{2|2n}$$. Zbl 1118.17005
Su, Yucai; Zhang, R. B.
2007
Highest weight representations of a Lie algebra of Block type. Zbl 1160.17008
Wu, Yuezhu; Su, Yucai
2007
Classification of modules of the intermediate series over Ramond $$N=2$$ superconformal algebras. Zbl 1137.17312
Fu, Jiayuan; Jiang, Qifen; Su, Yucai
2007
Lie bialgebras of generalized Witt type. Zbl 1171.17007
Song, Guang&rsquo;ai; Su, Yucai
2006
Lie bialgebras of generalized Virasoro-like type. Zbl 1116.17013
Wu, Yue Zhu; Song, Guang Ai; Su, Yu Cai
2006
Composition factors of Kac modules for the general linear Lie superalgebras. Zbl 1106.17008
Su, Yucai
2006
Classification of quasifinite $${\mathcal W}_{\infty}$$-modules. Zbl 1128.17022
Su, Yucai; Xin, Bin
2006
Derivation algebras of centerless perfect Lie algebras are complete. Zbl 1154.17303
Su, Yucai; Zhu, Linsheng
2005
2-cocycles of the Lie superalgebras of Weyl type. Zbl 1103.17006
Song, Guang&rsquo;ai; Su, Yucai
2005
Classification of quasifinite modules over Lie algebras of matrix differential operators on the circle. Zbl 1097.17008
Su, Yucai
2005
Representations of the derivation algebra of the localization of the quantum plane at $$q = -1$$. Zbl 1134.17305
Su, Yucai; Zhu, Linsheng
2005
Quasifinite representations of a Lie algebra of Block type. Zbl 1128.17006
Su, Yucai
2004
Low dimensional cohomology of general conformal algebras $$\mathfrak{gc}_ N$$. Zbl 1070.17007
Su, Yucai
2004
Quasifinite representations of a family of Lie algebras of Block type. Zbl 1051.17006
Su, Yucai
2004
Classification of derivation-simple color algebras related to locally finite derivations. Zbl 1070.17013
Su, Yucai; Zhao, Kaiming; Zhu, Linsheng
2004
Structure of algebras of Weyl type. Zbl 1092.17015
Su, Yucai; Zhao, Kaiming
2004
Derivations and 2-cocycles of contact Lie algebras related to locally-finite derivations. Zbl 1069.17010
Song, Guang&rsquo;ai; Su, Yucai
2004
Central simple Poisson algebras. Zbl 1124.17302
Su, Yucai; Xu, Xiaoping
2004
A class of nongraded simple Lie algebras. Zbl 1121.17007
Su, Yucai; Zhou, Jianhua
2004
Classification of Harish-Chandra modules over the higher rank Virasoro algebras. Zbl 1041.17026
Su, Yucai
2003
Classification of quasifinite modules over the Lie algebras of Weyl type. Zbl 1091.17004
Su, Yucai
2003
Simple Lie color algebras of Weyl type. Zbl 1232.17041
Su, Yucai; Zhao, Kaiming; Zhu, Linsheng
2003
Derivations of generalized Weyl algebras. Zbl 1217.16037
Su, Yucai
2003
Structure of Lie superalgebras of Block type related to locally finite derivations. Zbl 1037.17027
Su, Yucai
2003
Poisson brackets and structure of nongraded Hamiltonian Lie algebras related to locally-finite derivations. Zbl 1047.17011
Su, Yucai
2003
Structure of contact Lie algebras related to locally-finite derivations. Zbl 1053.17015
Su, Yucai; Xu, Xiaoping
2003
Structure of a new class of non-graded infinite-dimensional simple Lie algebras. Zbl 1037.17028
Su, Yucai
2003
Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series. Zbl 1035.17036
Su, Yucai; Zhao, Kaiming
2002
Structure of the Lie algebras related to those of Block. Zbl 1043.17015
Su, Yucai; Zhou, Jianhua
2002
Second cohomology group of generalized Witt type Lie algebras and certain representations. Zbl 1043.17012
Su, Yucai; Zhao, Kaiming
2002
2-cocycles on the Lie algebras of generalized differential operators. Zbl 1043.17011
Su, Yucai
2002
Isomorphism classes and automorphism groups of algebras of Weyl type. Zbl 1119.17302
Su, Yucai; Zhao, Kaiming
2002
Simple modules over the high rank Virasoro algebras. Zbl 0987.17013
Su, Yucai
2001
Structure of divergence-free Lie algebras. Zbl 1008.17005
Su, Yucai; Xu, Xiaoping
2001
Classification of infinite dimensional weight modules over the Lie superalgebra $$\text{sl}(2/1)$$. Zbl 1076.17003
Su, Yucai
2001
...and 15 more Documents
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#### Cited by 284 Authors

 89 Su, Yucai 23 Li, JunBo 19 Yue, Xiaoqing 18 Xia, Chunguang 18 Zhao, Kaiming 15 Li, Chuanzhong 15 Yuan, Lamei 14 He, Jingsong 13 Xu, Ying 12 Han, Jianzhi 12 Hong, Yanyong 12 Song, Guang’ai 12 Tan, Shao Bin 11 Xin, Bin 11 Yang, Hengyun 10 Guo, Xiangqian 10 Liu, Dong 10 Lü, Rencai 9 Fa, Huanxia 9 Wang, Wei 9 Wu, Yuezhu 9 Zhang, Xiufu 9 Zhu, Linsheng 8 Cheng, Jipeng 8 Pei, Yufeng 8 Zhang, Ruibin 7 Chen, Haibo 7 Chen, Liangyun 7 Cheng, Shun-Jen 6 Casas Miras, José Manuel 6 Fan, Guangzhe 6 Liu, Xuewen 6 Tang, Xiaomin 6 Wu, Henan 5 Chen, Qiufan 5 Cheng, Yongsheng 5 Dai, Xiansheng 5 Lin, Weiqiang 5 Rui, Hebing 5 Sun, Jiancai 5 Wu, Zhixiang 5 Zhang, Yongzheng 5 Zhou, Jianhua 4 Calderón Martín, Antonio Jesús 4 Han, Xiu 4 Jiang, Qifen 4 Pacheco Rego, N. 4 Saeedi, Farshid 4 Wang, Dengyin 4 Winter, David J. 4 Xia, Limeng 4 Xu, Xiaoping 3 Billig, Yuly 3 Cai, Yanan 3 Gao, Shoulan 3 Jiang, Cuipo 3 Li, Zhiqiang 3 Sánchez Delgado, José María 3 Sheikh-Mohseni, Sedigheh 3 Song, Linliang 3 Wang, Song 3 Wu, Yongping 3 Zhao, Yufeng 2 Bai, Chengming 2 Chen, Chih-Whi 2 Chen, Hongjia 2 Chen, Ling 2 Chen, Xue 2 Chen, Zhiqi 2 Dung, Nguyên Thi Phuong 2 Fu, Jiayuan 2 Futorny, Vyacheslav M. 2 Gao, Ming 2 Gao, Yun 2 Guan, Baoling 2 Heidersdorf, Thorsten 2 Hu, Naihong 2 Jiang, Jingjing 2 Khmaladze, Emzar 2 Kuznetsova, Zhanna G. 2 Kwon, Jae-Hoon 2 Lam, Ngau 2 Lehrer, Gustav Isaac 2 Li, Haisheng 2 Li, Maohua 2 Lian, Haifeng 2 Lin, Shangyuan 2 Ling, Kaijing 2 Liu, Genqiang 2 Luo, Lipeng 2 Makhlouf, Abdenacer 2 Mu, Qiang 2 Musson, Ian M. 2 Raicu, Claudiu 2 Ren, Li 2 Saha, Ripan 2 Serganova, Vera V. 2 Stroppel, Catharina H. 2 Tan, Youjun 2 Tian, Kelei ...and 184 more Authors
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#### Cited in 72 Serials

 57 Communications in Algebra 48 Journal of Algebra 33 Journal of Mathematical Physics 27 Algebra Colloquium 18 Frontiers of Mathematics in China 15 Journal of Pure and Applied Algebra 14 Acta Mathematica Sinica. English Series 11 Journal of Geometry and Physics 10 Science in China. Series A 10 Journal of Algebra and its Applications 8 Linear and Multilinear Algebra 6 Nuclear Physics. B 6 Chinese Annals of Mathematics. Series B 6 International Journal of Mathematics 6 Algebras and Representation Theory 6 Journal of Nonlinear Mathematical Physics 5 Israel Journal of Mathematics 5 Proceedings of the American Mathematical Society 5 Linear Algebra and its Applications 5 Transformation Groups 5 Science China. Mathematics 4 Communications in Mathematical Physics 4 Theoretical and Mathematical Physics 4 Advances in Mathematics 3 Letters in Mathematical Physics 3 Communications in Contemporary Mathematics 3 Asian-European Journal of Mathematics 3 Advances in Mathematical Physics 2 Physics Letters. B 2 Chaos, Solitons and Fractals 2 Acta Mathematica Vietnamica 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Results in Mathematics 2 Forum Mathematicum 2 Advances in Applied Clifford Algebras 2 Journal of Lie Theory 2 Mathematical Physics, Analysis and Geometry 2 Journal of High Energy Physics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Mediterranean Journal of Mathematics 2 Analysis and Mathematical Physics 2 Open Mathematics 2 Electronic Research Archive 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Note di Matematica 1 Bulletin of the Iranian Mathematical Society 1 International Journal of Algebra and Computation 1 Journal of Nonlinear Science 1 Applied Categorical Structures 1 Applied Mathematics. Series B (English Edition) 1 Georgian Mathematical Journal 1 Selecta Mathematica. New Series 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Japanese Journal of Mathematics. 3rd Series 1 São Paulo Journal of Mathematical Sciences 1 Afrika Matematika 1 Communications in Mathematics 1 European Journal of Mathematics 1 Algebraic Combinatorics
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#### Cited in 26 Fields

 352 Nonassociative rings and algebras (17-XX) 35 Associative rings and algebras (16-XX) 32 Quantum theory (81-XX) 30 Dynamical systems and ergodic theory (37-XX) 12 Category theory; homological algebra (18-XX) 10 Partial differential equations (35-XX) 9 Group theory and generalizations (20-XX) 6 Topological groups, Lie groups (22-XX) 5 Commutative algebra (13-XX) 5 Algebraic geometry (14-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Relativity and gravitational theory (83-XX) 3 Combinatorics (05-XX) 2 $$K$$-theory (19-XX) 2 Algebraic topology (55-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX)