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Zhao, Kaiming

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Author ID: zhao.kaiming Recent zbMATH articles by "Zhao, Kaiming"
Published as: Zhao, K.; Zhao, Kai-Ming; Zhao, Kaiming
Homepage: https://www.wlu.ca/faculty-profiles/science/kaiming-zhao.html
Documents Indexed: 136 Publications since 1992
Reviewing Activity: 16 Reviews
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Serials

31 Journal of Algebra
9 Communications in Algebra
7 Communications in Contemporary Mathematics
6 Journal of Pure and Applied Algebra
6 Linear Algebra and its Applications
4 Proceedings of the American Mathematical Society
3 Journal of Systems Science and Mathematical Sciences
3 Forum Mathematicum
3 Algebra Colloquium
3 Algebras and Representation Theory
2 Arkiv för Matematik
2 Advances in Mathematics
2 Canadian Journal of Mathematics
2 Canadian Mathematical Bulletin
2 Journal of the London Mathematical Society. Second Series
2 Manuscripta Mathematica
2 Pacific Journal of Mathematics
2 Northeastern Mathematical Journal
2 Science in China. Series A
2 Mathematical Research Letters
2 Journal of the Australian Mathematical Society
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Linear and Multilinear Algebra
1 Acta Mathematica Sinica
1 Bulletin of the London Mathematical Society
1 Glasgow Mathematical Journal
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Transactions of the American Mathematical Society
1 Journal of Mathematics. Wuhan University
1 Journal of Mathematical Research & Exposition
1 Mathematics in Practice and Theory
1 Chinese Annals of Mathematics. Series A
1 Advances in Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Acta Mathematica Sinica. New Series
1 Chinese Science Bulletin
1 Journal of Mathematical Sciences (New York)
1 Journal of Lie Theory
1 Selecta Mathematica. New Series
1 Documenta Mathematica
1 ELA. The Electronic Journal of Linear Algebra
1 Transformation Groups
1 The Ramanujan Journal
1 The Asian Journal of Mathematics
1 Acta Mathematica Sinica. English Series
1 Moscow Mathematical Journal
1 Journal of Algebra and its Applications
1 Toyama Mathematical Journal
1 European Journal of Mathematics

Publications by Year

Citations contained in zbMATH

105 Publications have been cited 1,145 times in 438 Documents Cited by Year
Derivations, isomorphisms, and second cohomology of generalized Witt algebras. Zbl 0952.17015
Đoković, Dragomir Ž.; Zhao, Kaiming
45
1998
Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series. Zbl 1035.17036
Su, Yucai; Zhao, Kaiming
43
2002
Irreducible modules over the Virasoro algebra. Zbl 1250.17037
Lü, Rencai; Guo, Xiangqian; Zhao, Kaiming
38
2011
Simple Virasoro modules which are locally finite over a positive part. Zbl 1317.17029
Mazorchuk, Volodymyr; Zhao, Kaiming
37
2014
Classification of irreducible weight modules over the twisted Heisenberg-Virasoro algebra. Zbl 1250.17038
Lü, Rencai; Zhao, Kaiming
36
2010
Classification of simple weight Virasoro modules with a finite-dimensional weight space. Zbl 1128.17021
Mazorchuk, Volodymyr; Zhao, Kaiming
32
2007
Weight modules over exp-polynomial Lie algebras. Zbl 1060.17012
Billig, Yuly; Zhao, Kaiming
30
2004
Representations of the Virasoro-like algebra and its \(q\)-analog. Zbl 0891.17016
Zhang, Hechun; Zhao, Kaiming
30
1996
Irreducible Virasoro modules from irreducible Weyl modules. Zbl 1312.17018
Lü, Rencai; Zhao, Kaiming
29
2014
Derivations, isomorphisms and second cohomology of generalized Block algebras. Zbl 0862.17013
Đoković, Dragomir Ž.; Zhao, Kaiming
26
1996
Tensor product weight modules over the Virasoro algebra. Zbl 1311.17004
Chen, Hongjia; Guo, Xiangqian; Zhao, Kaiming
25
2013
A class of simple weight Virasoro modules. Zbl 1316.17017
Liu, Genqiang; Lu, Rencai; Zhao, Kaiming
24
2015
Irreducible Virasoro modules from tensor products. II. Zbl 1317.17030
Tan, Haijun; Zhao, Kaiming
24
2013
Classification of irreducible weight modules over higher rank Virasoro algebras. Zbl 1143.17007
Lu, Rencai; Zhao, Kaiming
24
2006
Simple Harish-Chandra modules, intermediate series modules, and Verma modules over the loop-Virasoro algebra. Zbl 1282.17025
Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming
23
2011
Centers of down-up algebras. Zbl 0932.17007
Zhao, Kaiming
23
1999
Infinite-dimensional Lie algebras of generalized Block type. Zbl 0932.17023
Osborn, J. Marshall; Zhao, Kaiming
23
1999
Verma modules over generalized Virasoro algebras Vir[\(G\)]. Zbl 1040.17023
Hu, Jun; Wang, Xian-Dong; Zhao, Kai-Ming
21
2003
Second cohomology group of generalized Witt type Lie algebras and certain representations. Zbl 1043.17012
Su, Yucai; Zhao, Kaiming
20
2002
Fraction representations and highest-weight-like representations of the Virasoro algebra. Zbl 1316.17016
Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming
19
2013
Supports of weight modules over Witt algebras. Zbl 1295.17007
Mazorchuk, Volodymyr; Zhao, Kaiming
19
2011
A family of simple weight modules over the Virasoro algebra. Zbl 1396.17007
Lü, Rencai; Zhao, Kaiming
18
2017
Generalized Cartan type \(W\) Lie algebras in characteristic zero. Zbl 0886.17019
Đoković, Dragomir Ž.; Zhao, Kaiming
18
1997
Weight modules over generalized Witt algebras with 1-dimensional weight spaces. Zbl 1069.17002
Zhao, Kaiming
17
2004
Some infinite-dimensional simple Lie algebras in characteristic \(0\) related to those of Block. Zbl 0929.17025
Đoković, Dragomir Ž.; Zhao, Kaiming
17
1998
On simple modules over conformal Galilei algebras. Zbl 1343.17008
Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming
16
2014
\(\mathcal{W}_n^+\)- and \(\mathcal{W}_n\)-module structures on \(U(\mathfrak{h}_n)\). Zbl 1338.17020
Tan, Haijun; Zhao, Kaiming
15
2015
Irreducible Virasoro modules from tensor products. Zbl 1400.17012
Tan, Haijun; Zhao, Kaiming
14
2016
Characterization of simple highest weight modules. Zbl 1327.17006
Mazorchuk, Volodymyr; Zhao, Kaiming
14
2013
Verma modules over Virasoro-like algebras. Zbl 1109.17013
Wang, Xian-Dong; Zhao, Kaiming
14
2006
Whittaker modules for the affine Lie algebra \(A_1^{(1)}\). Zbl 1369.17018
Adamović, Dražen; Lü, Rencai; Zhao, Kaiming
13
2016
The \(q\)-Virasoro-like algebra. Zbl 0891.17015
Zhao, Kaiming
13
1997
\(n\)-point Virasoro algebras and their modules of densities. Zbl 1355.17029
Cox, Ben; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming
12
2014
A class of infinite dimensional simple Lie algebras. Zbl 0984.17009
Zhao, Kaiming
12
2000
Irreducible weight modules over Witt algebras. Zbl 1266.17004
Guo, Xiangqian; Zhao, Kaiming
11
2011
Highest weight irreducible representations of rank 2 quantum tori. Zbl 1094.17011
Eswara Rao, S.; Zhao, K.
11
2004
Isomorphism classes and automorphism groups of algebras of Weyl type. Zbl 1119.17302
Su, Yucai; Zhao, Kaiming
11
2002
Simple algebras of Weyl type. Zbl 1006.16003
Su, Yucai; Zhao, Kaiming
11
2001
Generalized Poisson brackets and Lie algebras of type \(H\) in characteristic 0. Zbl 0931.17015
Osborn, J. Marshall; Zhao, Kaiming
11
1999
Irreducible Harish-Chandra modules over extended Witt algebras. Zbl 1392.17006
Guo, Xiangqian; Liu, Genqiang; Zhao, Kaiming
10
2014
Category \(\mathcal{O}\) for the Schrödinger algebra. Zbl 1380.17008
Dubsky, Brendan; Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming
10
2014
Simple Lie color algebras of Weyl type. Zbl 1232.17041
Su, Yucai; Zhao, Kaiming; Zhu, Linsheng
10
2003
Generalized Cartan type \(S\) Lie algebras in characteristic zero. Zbl 0978.17015
Đoković, Dragomir Ž.; Zhao, Kaiming
10
1997
Structure of algebras of Weyl type. Zbl 1092.17015
Su, Yucai; Zhao, Kaiming
9
2004
Isomorphisms between generalized Cartan type \(W\) Lie algebras in characteristic \(0\). Zbl 0912.17012
Zhao, Kaiming
9
1998
Some simple subalgebras of generalized Block algebras. Zbl 0878.17021
Đoković, Dragomir Ž.; Zhao, Kaiming
9
1997
Irreducible modules over Witt algebras \(\mathcal {W}_{n}\) and over \(\mathfrak {sl}_{n+1}(\mathbb {C})\). Zbl 1446.17018
Tan, Haijun; Zhao, Kaiming
8
2018
Highest weight modules over pre-exp-polynomial Lie algebras. Zbl 1220.17001
Batra, Punita; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming
8
2009
An algorithm that carries a square matrix into its transpose by an involutory congruence transformation. Zbl 1055.65056
Đoković, Dragomir Ž.; Szechtman, F.; Zhao, K.
8
2003
Generalized Cartan type \(K\) Lie algebras in characteristic 0. Zbl 0902.17007
Osborn, J. Marshall; Zhao, Kaiming
8
1997
Biderivations of the block Lie algebras. Zbl 1409.17011
Liu, Xuewen; Guo, Xiangqian; Zhao, Kaiming
7
2018
New irreducible weight modules over Witt algebras with infinite-dimensional weight spaces. Zbl 1371.17010
Liu, Genqiang; Zhao, Kaiming
7
2015
Classification of simple weight modules over the 1-spatial ageing algebra. Zbl 1394.17019
Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming
7
2015
Classification of irreducible Harish-Chandra modules over generalized Virasoro algebras. Zbl 1280.17022
Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming
7
2012
Real division algebras with large automorphism group. Zbl 1077.17001
Đoković, Dragomir Ž.; Zhao, Kaiming
7
2004
On integrable representations for toroidal Lie superalgebras. Zbl 1048.17004
Eswara Rao, S.; Zhao, K.
7
2004
Irreducible modules over the derivation algebras of rational quantum tori. Zbl 1269.17006
Liu, Gengqiang; Zhao, Kaiming
6
2011
Classification of derivation-simple color algebras related to locally finite derivations. Zbl 1070.17013
Su, Yucai; Zhao, Kaiming; Zhu, Linsheng
6
2004
Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices. Zbl 1063.15008
Đoković, Dragomir Ž.; Zhao, Kaiming
6
2004
Simple Lie color algebras from graded associative algebras. Zbl 1042.17027
Zhao, Kaiming
6
2003
Simple algebras of Weyl type. II. Zbl 1007.16002
Zhao, Kaiming
6
2002
Generalized Cartan type \(S\) Lie algebras in characteristic 0. II. Zbl 1032.17040
Zhao, Kaiming
6
2000
Doubly \(\mathbb{Z}\)-graded Lie algebras containing a Virasoro algebra. Zbl 0935.17013
Osborn, J. Marshall; Zhao, Kaiming
6
1999
A characterization of the Block Lie algebra and its \(q\)-forms in characteristic \(0\). Zbl 0912.17011
Osborn, J. Marshall; Zhao, Kaiming
6
1998
Representations of the Virasoro algebra. I. Zbl 0836.17020
Zhao, Kaiming
6
1995
Graded simple Lie algebras and graded simple representations. Zbl 1431.17016
Mazorchuk, Volodymyr; Zhao, Kaiming
5
2018
Simple superelliptic Lie algebras. Zbl 1418.17016
Cox, Ben; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming
5
2017
Module structure on \(\mathcal U(H)\) for basic Lie superalgebras. Zbl 1395.17017
Cai, Yan-an; Zhao, Kaiming
5
2015
Irreducible quasifinite modules over a class of Lie algebras of Block type. Zbl 1361.17014
Chen, Hongjia; Guo, Xiangqian; Zhao, Kaiming
5
2014
Irreducible Harish Chandra modules over the derivation algebras of rational quantum tori. Zbl 1282.17009
Liu, Genqiang; Zhao, Kaiming
5
2013
Normal forms for orthogonal similarity classes of skew-symmetric matrices. Zbl 1115.15010
Đoković, Dragomir Ž.; Rietsch, Konstanze; Zhao, Kaiming
5
2007
Jordan decomposition of bilinear forms. Zbl 1079.14054
Đoković, Dragomir Ž.; Zhao, Kaiming
5
2005
Biderivations and commuting linear maps on Lie algebras. Zbl 1422.17006
Brešar, Matej; Zhao, Kaiming
4
2018
Verma modules over quantum torus Lie algebras. Zbl 1205.17022
Lü, Rencai; Zhao, Kaiming
4
2010
Classical Lie superalgebras over simple associative algebras. Zbl 1129.17009
Benkart, Georgia; Xu, Xiaoping; Zhao, Kaiming
4
2006
Real homogeneous algebras as truncated division algebras and their automorphism groups. Zbl 1071.17002
Đoković, Dragomir Ž.; Zhao, Kaiming
4
2004
Vertex operator representations of quantum tori at roots of unity. Zbl 1156.17305
Billig, Y.; Zhao, K.
4
2004
Weight sets of irreducible integrable representations of Kac-Moody algebras of indefinite type. Zbl 0891.17020
Zhao, Kaiming
4
1996
Certain families of polynomials arising in the study of hyperelliptic Lie algebras. Zbl 1436.17031
Cox, Ben; Zhao, Kaiming
3
2018
Simple weight modules over weak generalized Weyl algebras. Zbl 1319.16021
Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming
3
2015
Integrable representations of toroidal Lie algebras co-ordinatized by rational quantum tori. Zbl 1300.17019
Eswara Rao, S.; Zhao, Kaiming
3
2012
Harish-Chandra modules over the \(\mathbb Q\) Heisenberg-Virasoro algebra. Zbl 1200.17006
Guo, Xiangqian; Liu, Xuewen; Zhao, Kaiming
3
2010
Invariant theory for non-associative real two-dimensional algebras and its applications. Zbl 1115.17001
Đoković, Dragomir; Zhao, Kaiming
3
2004
Infinite-dimensional Lie algebras of type L. Zbl 1027.17018
Osborn, J. Marshall; Zhao, Kaiming
3
2003
A characterization of certain loop Lie algebras. Zbl 0946.17013
Osborn, J. Marshall; Zhao, Kaiming
3
1999
Automorphisms of the algebra of \(q\)-difference operators. Zbl 1011.17015
Zhao, Kaiming
3
1999
Classification of a kind of irreducible Harish-Chandra modules over the algebras of differential operators. Zbl 0822.17019
Zhao, Kaiming
3
1994
Lie algebra of derivations of the algebra of differential operators. Zbl 0796.17021
Zhao, Kaiming
3
1993
Irreducible Witt modules from Weyl modules and \(\mathfrak{gl}_n\)-modules. Zbl 1426.17008
Liu, Genqiang; Lu, Rencai; Zhao, Kaiming
2
2018
Finite-dimensional simple modules over generalized Heisenberg algebras. Zbl 1316.81046
Lü, Rencai; Zhao, Kaiming
2
2015
Classifying zeros of two-sided quaternionic polynomials and computing zeros of two-sided polynomials with complex coefficients. Zbl 1293.11103
Feng, Lianggui; Zhao, Kaiming
2
2013
Weyl type algebras from quantum tori. Zbl 1127.17022
Zhao, Kaiming
2
2006
Kirillov’s problem for Lie algebras. Zbl 0982.17014
Osborn, J. Marshall; Zhao, Kaiming
2
1999
Generalized Verma modules over \(\mathfrak{sl}_{n + 2}\) induced from \(\mathcal{U}(\mathfrak{h}_n)\)-free \(\mathfrak{sl}_{n + 1}\)-modules. Zbl 1416.17002
Cai, Yan-an; Liu, Genqiang; Nilsson, Jonathan; Zhao, Kaiming
1
2018
Automorphisms and derivations of nilradicals of Borel subalgebras in Kac-Moody algebras. Zbl 1271.17017
Morita, Jun; Zhao, Kaiming
1
2012
An octonion algebra originating in combinatorics. Zbl 1242.17007
Doković, Dragomir Ž.; Zhao, Kaiming
1
2010
Deformed Kac-Moody algebras and their representations. Zbl 1192.17011
Liu, Jianbo; Zhao, Kaiming
1
2008
Rational Jordan decomposition of bilinear forms. Zbl 1085.14515
Đoković, Dragomir Ž.; Zhao, Kaiming
1
2005
Diagonal plus tridiagonal representatives for symplectic congruence classes of symmetric matrices. Zbl 1138.17003
Đokovic, D. Z.; Szechtman, F.; Zhao, K.
1
2005
Double \(\mathbb{Z}\)-graded Lie algebras containing a Heisenberg algebra. Zbl 0931.17020
Osborn, J. M.; Zhao, Kaiming
1
1999
Irreducible modules over Witt algebras \(\mathcal {W}_{n}\) and over \(\mathfrak {sl}_{n+1}(\mathbb {C})\). Zbl 1446.17018
Tan, Haijun; Zhao, Kaiming
8
2018
Biderivations of the block Lie algebras. Zbl 1409.17011
Liu, Xuewen; Guo, Xiangqian; Zhao, Kaiming
7
2018
Graded simple Lie algebras and graded simple representations. Zbl 1431.17016
Mazorchuk, Volodymyr; Zhao, Kaiming
5
2018
Biderivations and commuting linear maps on Lie algebras. Zbl 1422.17006
Brešar, Matej; Zhao, Kaiming
4
2018
Certain families of polynomials arising in the study of hyperelliptic Lie algebras. Zbl 1436.17031
Cox, Ben; Zhao, Kaiming
3
2018
Irreducible Witt modules from Weyl modules and \(\mathfrak{gl}_n\)-modules. Zbl 1426.17008
Liu, Genqiang; Lu, Rencai; Zhao, Kaiming
2
2018
Generalized Verma modules over \(\mathfrak{sl}_{n + 2}\) induced from \(\mathcal{U}(\mathfrak{h}_n)\)-free \(\mathfrak{sl}_{n + 1}\)-modules. Zbl 1416.17002
Cai, Yan-an; Liu, Genqiang; Nilsson, Jonathan; Zhao, Kaiming
1
2018
A family of simple weight modules over the Virasoro algebra. Zbl 1396.17007
Lü, Rencai; Zhao, Kaiming
18
2017
Simple superelliptic Lie algebras. Zbl 1418.17016
Cox, Ben; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming
5
2017
Irreducible Virasoro modules from tensor products. Zbl 1400.17012
Tan, Haijun; Zhao, Kaiming
14
2016
Whittaker modules for the affine Lie algebra \(A_1^{(1)}\). Zbl 1369.17018
Adamović, Dražen; Lü, Rencai; Zhao, Kaiming
13
2016
A class of simple weight Virasoro modules. Zbl 1316.17017
Liu, Genqiang; Lu, Rencai; Zhao, Kaiming
24
2015
\(\mathcal{W}_n^+\)- and \(\mathcal{W}_n\)-module structures on \(U(\mathfrak{h}_n)\). Zbl 1338.17020
Tan, Haijun; Zhao, Kaiming
15
2015
New irreducible weight modules over Witt algebras with infinite-dimensional weight spaces. Zbl 1371.17010
Liu, Genqiang; Zhao, Kaiming
7
2015
Classification of simple weight modules over the 1-spatial ageing algebra. Zbl 1394.17019
Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming
7
2015
Module structure on \(\mathcal U(H)\) for basic Lie superalgebras. Zbl 1395.17017
Cai, Yan-an; Zhao, Kaiming
5
2015
Simple weight modules over weak generalized Weyl algebras. Zbl 1319.16021
Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming
3
2015
Finite-dimensional simple modules over generalized Heisenberg algebras. Zbl 1316.81046
Lü, Rencai; Zhao, Kaiming
2
2015
Simple Virasoro modules which are locally finite over a positive part. Zbl 1317.17029
Mazorchuk, Volodymyr; Zhao, Kaiming
37
2014
Irreducible Virasoro modules from irreducible Weyl modules. Zbl 1312.17018
Lü, Rencai; Zhao, Kaiming
29
2014
On simple modules over conformal Galilei algebras. Zbl 1343.17008
Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming
16
2014
\(n\)-point Virasoro algebras and their modules of densities. Zbl 1355.17029
Cox, Ben; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming
12
2014
Irreducible Harish-Chandra modules over extended Witt algebras. Zbl 1392.17006
Guo, Xiangqian; Liu, Genqiang; Zhao, Kaiming
10
2014
Category \(\mathcal{O}\) for the Schrödinger algebra. Zbl 1380.17008
Dubsky, Brendan; Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming
10
2014
Irreducible quasifinite modules over a class of Lie algebras of Block type. Zbl 1361.17014
Chen, Hongjia; Guo, Xiangqian; Zhao, Kaiming
5
2014
Tensor product weight modules over the Virasoro algebra. Zbl 1311.17004
Chen, Hongjia; Guo, Xiangqian; Zhao, Kaiming
25
2013
Irreducible Virasoro modules from tensor products. II. Zbl 1317.17030
Tan, Haijun; Zhao, Kaiming
24
2013
Fraction representations and highest-weight-like representations of the Virasoro algebra. Zbl 1316.17016
Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming
19
2013
Characterization of simple highest weight modules. Zbl 1327.17006
Mazorchuk, Volodymyr; Zhao, Kaiming
14
2013
Irreducible Harish Chandra modules over the derivation algebras of rational quantum tori. Zbl 1282.17009
Liu, Genqiang; Zhao, Kaiming
5
2013
Classifying zeros of two-sided quaternionic polynomials and computing zeros of two-sided polynomials with complex coefficients. Zbl 1293.11103
Feng, Lianggui; Zhao, Kaiming
2
2013
Classification of irreducible Harish-Chandra modules over generalized Virasoro algebras. Zbl 1280.17022
Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming
7
2012
Integrable representations of toroidal Lie algebras co-ordinatized by rational quantum tori. Zbl 1300.17019
Eswara Rao, S.; Zhao, Kaiming
3
2012
Automorphisms and derivations of nilradicals of Borel subalgebras in Kac-Moody algebras. Zbl 1271.17017
Morita, Jun; Zhao, Kaiming
1
2012
Irreducible modules over the Virasoro algebra. Zbl 1250.17037
Lü, Rencai; Guo, Xiangqian; Zhao, Kaiming
38
2011
Simple Harish-Chandra modules, intermediate series modules, and Verma modules over the loop-Virasoro algebra. Zbl 1282.17025
Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming
23
2011
Supports of weight modules over Witt algebras. Zbl 1295.17007
Mazorchuk, Volodymyr; Zhao, Kaiming
19
2011
Irreducible weight modules over Witt algebras. Zbl 1266.17004
Guo, Xiangqian; Zhao, Kaiming
11
2011
Irreducible modules over the derivation algebras of rational quantum tori. Zbl 1269.17006
Liu, Gengqiang; Zhao, Kaiming
6
2011
Classification of irreducible weight modules over the twisted Heisenberg-Virasoro algebra. Zbl 1250.17038
Lü, Rencai; Zhao, Kaiming
36
2010
Verma modules over quantum torus Lie algebras. Zbl 1205.17022
Lü, Rencai; Zhao, Kaiming
4
2010
Harish-Chandra modules over the \(\mathbb Q\) Heisenberg-Virasoro algebra. Zbl 1200.17006
Guo, Xiangqian; Liu, Xuewen; Zhao, Kaiming
3
2010
An octonion algebra originating in combinatorics. Zbl 1242.17007
Doković, Dragomir Ž.; Zhao, Kaiming
1
2010
Highest weight modules over pre-exp-polynomial Lie algebras. Zbl 1220.17001
Batra, Punita; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming
8
2009
Deformed Kac-Moody algebras and their representations. Zbl 1192.17011
Liu, Jianbo; Zhao, Kaiming
1
2008
Classification of simple weight Virasoro modules with a finite-dimensional weight space. Zbl 1128.17021
Mazorchuk, Volodymyr; Zhao, Kaiming
32
2007
Normal forms for orthogonal similarity classes of skew-symmetric matrices. Zbl 1115.15010
Đoković, Dragomir Ž.; Rietsch, Konstanze; Zhao, Kaiming
5
2007
Classification of irreducible weight modules over higher rank Virasoro algebras. Zbl 1143.17007
Lu, Rencai; Zhao, Kaiming
24
2006
Verma modules over Virasoro-like algebras. Zbl 1109.17013
Wang, Xian-Dong; Zhao, Kaiming
14
2006
Classical Lie superalgebras over simple associative algebras. Zbl 1129.17009
Benkart, Georgia; Xu, Xiaoping; Zhao, Kaiming
4
2006
Weyl type algebras from quantum tori. Zbl 1127.17022
Zhao, Kaiming
2
2006
Jordan decomposition of bilinear forms. Zbl 1079.14054
Đoković, Dragomir Ž.; Zhao, Kaiming
5
2005
Rational Jordan decomposition of bilinear forms. Zbl 1085.14515
Đoković, Dragomir Ž.; Zhao, Kaiming
1
2005
Diagonal plus tridiagonal representatives for symplectic congruence classes of symmetric matrices. Zbl 1138.17003
Đokovic, D. Z.; Szechtman, F.; Zhao, K.
1
2005
Weight modules over exp-polynomial Lie algebras. Zbl 1060.17012
Billig, Yuly; Zhao, Kaiming
30
2004
Weight modules over generalized Witt algebras with 1-dimensional weight spaces. Zbl 1069.17002
Zhao, Kaiming
17
2004
Highest weight irreducible representations of rank 2 quantum tori. Zbl 1094.17011
Eswara Rao, S.; Zhao, K.
11
2004
Structure of algebras of Weyl type. Zbl 1092.17015
Su, Yucai; Zhao, Kaiming
9
2004
Real division algebras with large automorphism group. Zbl 1077.17001
Đoković, Dragomir Ž.; Zhao, Kaiming
7
2004
On integrable representations for toroidal Lie superalgebras. Zbl 1048.17004
Eswara Rao, S.; Zhao, K.
7
2004
Classification of derivation-simple color algebras related to locally finite derivations. Zbl 1070.17013
Su, Yucai; Zhao, Kaiming; Zhu, Linsheng
6
2004
Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices. Zbl 1063.15008
Đoković, Dragomir Ž.; Zhao, Kaiming
6
2004
Real homogeneous algebras as truncated division algebras and their automorphism groups. Zbl 1071.17002
Đoković, Dragomir Ž.; Zhao, Kaiming
4
2004
Vertex operator representations of quantum tori at roots of unity. Zbl 1156.17305
Billig, Y.; Zhao, K.
4
2004
Invariant theory for non-associative real two-dimensional algebras and its applications. Zbl 1115.17001
Đoković, Dragomir; Zhao, Kaiming
3
2004
Verma modules over generalized Virasoro algebras Vir[\(G\)]. Zbl 1040.17023
Hu, Jun; Wang, Xian-Dong; Zhao, Kai-Ming
21
2003
Simple Lie color algebras of Weyl type. Zbl 1232.17041
Su, Yucai; Zhao, Kaiming; Zhu, Linsheng
10
2003
An algorithm that carries a square matrix into its transpose by an involutory congruence transformation. Zbl 1055.65056
Đoković, Dragomir Ž.; Szechtman, F.; Zhao, K.
8
2003
Simple Lie color algebras from graded associative algebras. Zbl 1042.17027
Zhao, Kaiming
6
2003
Infinite-dimensional Lie algebras of type L. Zbl 1027.17018
Osborn, J. Marshall; Zhao, Kaiming
3
2003
Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series. Zbl 1035.17036
Su, Yucai; Zhao, Kaiming
43
2002
Second cohomology group of generalized Witt type Lie algebras and certain representations. Zbl 1043.17012
Su, Yucai; Zhao, Kaiming
20
2002
Isomorphism classes and automorphism groups of algebras of Weyl type. Zbl 1119.17302
Su, Yucai; Zhao, Kaiming
11
2002
Simple algebras of Weyl type. II. Zbl 1007.16002
Zhao, Kaiming
6
2002
Simple algebras of Weyl type. Zbl 1006.16003
Su, Yucai; Zhao, Kaiming
11
2001
A class of infinite dimensional simple Lie algebras. Zbl 0984.17009
Zhao, Kaiming
12
2000
Generalized Cartan type \(S\) Lie algebras in characteristic 0. II. Zbl 1032.17040
Zhao, Kaiming
6
2000
Centers of down-up algebras. Zbl 0932.17007
Zhao, Kaiming
23
1999
Infinite-dimensional Lie algebras of generalized Block type. Zbl 0932.17023
Osborn, J. Marshall; Zhao, Kaiming
23
1999
Generalized Poisson brackets and Lie algebras of type \(H\) in characteristic 0. Zbl 0931.17015
Osborn, J. Marshall; Zhao, Kaiming
11
1999
Doubly \(\mathbb{Z}\)-graded Lie algebras containing a Virasoro algebra. Zbl 0935.17013
Osborn, J. Marshall; Zhao, Kaiming
6
1999
A characterization of certain loop Lie algebras. Zbl 0946.17013
Osborn, J. Marshall; Zhao, Kaiming
3
1999
Automorphisms of the algebra of \(q\)-difference operators. Zbl 1011.17015
Zhao, Kaiming
3
1999
Kirillov’s problem for Lie algebras. Zbl 0982.17014
Osborn, J. Marshall; Zhao, Kaiming
2
1999
Double \(\mathbb{Z}\)-graded Lie algebras containing a Heisenberg algebra. Zbl 0931.17020
Osborn, J. M.; Zhao, Kaiming
1
1999
Second cohomology of generalized Cartan type \(S\) Lie algebras in characteristic zero. Zbl 0929.17024
Đoković, Dragomir Ž.; Zhao, Kaiming
1
1999
Derivations, isomorphisms, and second cohomology of generalized Witt algebras. Zbl 0952.17015
Đoković, Dragomir Ž.; Zhao, Kaiming
45
1998
Some infinite-dimensional simple Lie algebras in characteristic \(0\) related to those of Block. Zbl 0929.17025
Đoković, Dragomir Ž.; Zhao, Kaiming
17
1998
Isomorphisms between generalized Cartan type \(W\) Lie algebras in characteristic \(0\). Zbl 0912.17012
Zhao, Kaiming
9
1998
A characterization of the Block Lie algebra and its \(q\)-forms in characteristic \(0\). Zbl 0912.17011
Osborn, J. Marshall; Zhao, Kaiming
6
1998
Generalized Cartan type \(W\) Lie algebras in characteristic zero. Zbl 0886.17019
Đoković, Dragomir Ž.; Zhao, Kaiming
18
1997
The \(q\)-Virasoro-like algebra. Zbl 0891.17015
Zhao, Kaiming
13
1997
Generalized Cartan type \(S\) Lie algebras in characteristic zero. Zbl 0978.17015
Đoković, Dragomir Ž.; Zhao, Kaiming
10
1997
Some simple subalgebras of generalized Block algebras. Zbl 0878.17021
Đoković, Dragomir Ž.; Zhao, Kaiming
9
1997
Generalized Cartan type \(K\) Lie algebras in characteristic 0. Zbl 0902.17007
Osborn, J. Marshall; Zhao, Kaiming
8
1997
Structures of Weyl groups of some Kac-Moody algebras. Zbl 0889.17023
Lu, Caihui; Zhao, Kaiming
1
1997
Representations of the Virasoro-like algebra and its \(q\)-analog. Zbl 0891.17016
Zhang, Hechun; Zhao, Kaiming
30
1996
Derivations, isomorphisms and second cohomology of generalized Block algebras. Zbl 0862.17013
Đoković, Dragomir Ž.; Zhao, Kaiming
26
1996
Weight sets of irreducible integrable representations of Kac-Moody algebras of indefinite type. Zbl 0891.17020
Zhao, Kaiming
4
1996
Reflections of root lattices for Kac-Moody algebras. Zbl 0851.17024
Zhao, Kaiming
1
1996
...and 5 more Documents
all top 5

Cited by 315 Authors

71 Zhao, Kaiming
58 Su, Yucai
26 Guo, Xiangqian
26 Lü, Rencai
18 Liu, Dong
15 Futorny, Vyacheslav M.
14 Liu, Genqiang
14 Pei, Yufeng
14 Yue, Xiaoqing
13 Đoković, Dragomir Ž.
13 Tan, Shao Bin
12 Han, Jianzhi
11 Billig, Yuly
11 Li, JunBo
11 Song, Guang’ai
11 Tang, Xiaomin
10 Cox, Ben Lewis
10 Liu, Xuewen
10 Wu, Yuezhu
10 Zhang, Xiufu
10 Zhu, Linsheng
9 Cai, Yanan
9 Mazorchuk, Volodymyr
8 Eswara Rao, Senapathi
8 Xia, Chunguang
8 Xu, Ying
7 Bavula, Vladimir V.
7 Xin, Bin
6 Chen, Haibo
6 Hu, Naihong
6 Jiang, Cuipo
6 Li, Chuanzhong
6 Lin, Weiqiang
6 Wang, Wei
6 Xia, Limeng
5 Adamović, Dražen
5 Bavula, Volodymyr V.
5 Chen, Hongjia
5 Chen, Qiufan
5 Cheng, Yongsheng
5 Gao, Shoulan
5 He, Jingsong
5 Jiang, Qifen
5 Nilsson, Jonathan
5 Osborn, James Marshall
5 Solotar, Andrea Leonor
5 Yang, Hengyun
4 Brešar, Matej
4 Fa, Huanxia
4 Fan, Guangzhe
4 Gao, Yun
4 Horn, Roger Alan
4 Kirkman, Ellen E.
4 Lu, Tao
4 Pumplün, Susanne
4 Radobolja, Gordan
4 Sergeichuk, Vladimir Vasil’evich
4 Shen, Ran
4 Tan, Haijun
4 Wu, Henan
4 Xu, Xiaoping
4 Zhou, Jianhua
3 Bahturin, Yuri
3 Bai, Chengming
3 Calderón Martín, Antonio Jesús
3 Carvalho, Paula A. A. B.
3 Chen, Liangyun
3 Chouhy, Sergio
3 Dai, Xiansheng
3 Im, Mee Seong
3 Kochetov, Mikhail Viktorovich
3 Li, Zhiqiang
3 Musson, Ian M.
3 Savage, Alistair
3 Sun, Jiancai
3 Szechtman, Fernando
3 Talboom, John
3 Wang, Song
3 Wang, Xiandong
3 Wiesner, Emilie B.
3 Xu, Chengkang
3 Zhao, Yufeng
2 Batra, Punita
2 Bekkert, Viktor
2 Benkart, Georgia M.
2 Bergen, Jeffrey
2 Chang, Zhihua
2 Chen, Fulin
2 Chen, Guobo
2 Chen, Ling
2 Chen, Xue
2 Chen, Zhiqi
2 Dieterich, Ernst
2 Draper, Cristina
2 Dubsky, Brendan Frisk
2 Elduque, Alberto
2 Gao, Ming
2 Hartwig, Jonas T.
2 Hildebrand, Jeff
2 Jeon, Woo-Pyung
...and 215 more Authors
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Cited in 63 Serials

91 Journal of Algebra
70 Communications in Algebra
30 Journal of Mathematical Physics
22 Journal of Pure and Applied Algebra
20 Linear Algebra and its Applications
18 Algebra Colloquium
16 Proceedings of the American Mathematical Society
14 Journal of Algebra and its Applications
13 Acta Mathematica Sinica. English Series
13 Frontiers of Mathematics in China
12 Algebras and Representation Theory
8 Science in China. Series A
7 Israel Journal of Mathematics
7 Linear and Multilinear Algebra
7 Communications in Contemporary Mathematics
5 Journal of Geometry and Physics
5 Glasgow Mathematical Journal
5 Science China. Mathematics
4 Advances in Mathematics
4 Transactions of the American Mathematical Society
4 Chinese Annals of Mathematics. Series B
3 Letters in Mathematical Physics
3 Manuscripta Mathematica
3 Results in Mathematics
3 International Journal of Mathematics
3 Journal of Lie Theory
2 Communications in Mathematical Physics
2 Arkiv för Matematik
2 Mathematische Zeitschrift
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Forum Mathematicum
2 Journal of Mathematical Sciences (New York)
2 Journal of the Australian Mathematical Society
1 Reports on Mathematical Physics
1 Reviews in Mathematical Physics
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Czechoslovak Mathematical Journal
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 Pacific Journal of Mathematics
1 Quaestiones Mathematicae
1 Revista Colombiana de Matemáticas
1 Bulletin of the Iranian Mathematical Society
1 International Journal of Algebra and Computation
1 Journal of Knot Theory and its Ramifications
1 The Australasian Journal of Combinatorics
1 Advances in Applied Clifford Algebras
1 Selecta Mathematica. New Series
1 Integral Transforms and Special Functions
1 Transformation Groups
1 The Ramanujan Journal
1 Taiwanese Journal of Mathematics
1 Journal of High Energy Physics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Applied Mathematics and Computing
1 Mediterranean Journal of Mathematics
1 São Paulo Journal of Mathematical Sciences
1 Communications in Mathematics
1 Communications in Mathematics and Statistics
1 European Journal of Mathematics
1 Open Mathematics

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