Edit Profile Zhao, Kaiming Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 22 single-authored 26 Lü, Rencai 18 Đoković, Dragomir Ž. 18 Guo, Xiangqian 11 Osborn, James Marshall 10 Liu, Genqiang 9 Mazorchuk, Volodymyr 8 Su, Yucai 6 Tan, Haijun 4 Cox, Ben Lewis 4 Lu, Caihui 3 Cai, Yanan 3 Eswara Rao, Senapathi 3 Liu, Xuewen 3 Zhang, Hechun 2 Billig, Yuly 2 Brešar, Matej 2 Chen, Hongjia 2 Dubsky, Brendan Frisk 2 Feng, Lianggui 2 Liu, Jianbo 2 Szechtman, Fernando 2 Wang, Xiandong 2 Zhu, Linsheng 1 Adamović, Dražen 1 Ayupov, Shavkat Abdullaevich 1 Batra, Punita 1 Benkart, Georgia M. 1 Du, Hong 1 Futorny, Vyacheslav M. 1 Hu, Jun 1 Im, Mee Seong 1 Kudaybergenov, Karimbergen K. 1 Liu, Changan 1 Liu, Gengqiang 1 Morita, Jun 1 Nilsson, Jonathan 1 Omirov, Bakhrom A. 1 Rietsch, Konstanze 1 Xu, Xiaoping 1 Yao, Yufeng 1 Zhang, Haishan 1 Zhang, Jiangfeng 1 Zhang, Zhengping all top 5 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 all top 5 Fields 123 Nonassociative rings and algebras (17-XX) 18 Associative rings and algebras (16-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 5 Algebraic geometry (14-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Numerical analysis (65-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications 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 0952.17015Đoković, Dragomir Ž.; Zhao, Kaiming 45 1998 Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series. Zbl 1035.17036Su, Yucai; Zhao, Kaiming 43 2002 Irreducible modules over the Virasoro algebra. Zbl 1250.17037Lü, Rencai; Guo, Xiangqian; Zhao, Kaiming 38 2011 Simple Virasoro modules which are locally finite over a positive part. Zbl 1317.17029Mazorchuk, Volodymyr; Zhao, Kaiming 37 2014 Classification of irreducible weight modules over the twisted Heisenberg-Virasoro algebra. Zbl 1250.17038Lü, Rencai; Zhao, Kaiming 36 2010 Classification of simple weight Virasoro modules with a finite-dimensional weight space. Zbl 1128.17021Mazorchuk, Volodymyr; Zhao, Kaiming 32 2007 Weight modules over exp-polynomial Lie algebras. Zbl 1060.17012Billig, Yuly; Zhao, Kaiming 30 2004 Representations of the Virasoro-like algebra and its \(q\)-analog. Zbl 0891.17016Zhang, Hechun; Zhao, Kaiming 30 1996 Irreducible Virasoro modules from irreducible Weyl modules. Zbl 1312.17018Lü, Rencai; Zhao, Kaiming 29 2014 Derivations, isomorphisms and second cohomology of generalized Block algebras. Zbl 0862.17013Đoković, Dragomir Ž.; Zhao, Kaiming 26 1996 Tensor product weight modules over the Virasoro algebra. Zbl 1311.17004Chen, Hongjia; Guo, Xiangqian; Zhao, Kaiming 25 2013 A class of simple weight Virasoro modules. Zbl 1316.17017Liu, Genqiang; Lu, Rencai; Zhao, Kaiming 24 2015 Irreducible Virasoro modules from tensor products. II. Zbl 1317.17030Tan, Haijun; Zhao, Kaiming 24 2013 Classification of irreducible weight modules over higher rank Virasoro algebras. Zbl 1143.17007Lu, Rencai; Zhao, Kaiming 24 2006 Simple Harish-Chandra modules, intermediate series modules, and Verma modules over the loop-Virasoro algebra. Zbl 1282.17025Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming 23 2011 Centers of down-up algebras. Zbl 0932.17007Zhao, Kaiming 23 1999 Infinite-dimensional Lie algebras of generalized Block type. Zbl 0932.17023Osborn, J. Marshall; Zhao, Kaiming 23 1999 Verma modules over generalized Virasoro algebras Vir[\(G\)]. Zbl 1040.17023Hu, Jun; Wang, Xian-Dong; Zhao, Kai-Ming 21 2003 Second cohomology group of generalized Witt type Lie algebras and certain representations. Zbl 1043.17012Su, Yucai; Zhao, Kaiming 20 2002 Fraction representations and highest-weight-like representations of the Virasoro algebra. Zbl 1316.17016Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming 19 2013 Supports of weight modules over Witt algebras. Zbl 1295.17007Mazorchuk, Volodymyr; Zhao, Kaiming 19 2011 A family of simple weight modules over the Virasoro algebra. Zbl 1396.17007Lü, Rencai; Zhao, Kaiming 18 2017 Generalized Cartan type \(W\) Lie algebras in characteristic zero. Zbl 0886.17019Đoković, Dragomir Ž.; Zhao, Kaiming 18 1997 Weight modules over generalized Witt algebras with 1-dimensional weight spaces. Zbl 1069.17002Zhao, Kaiming 17 2004 Some infinite-dimensional simple Lie algebras in characteristic \(0\) related to those of Block. Zbl 0929.17025Đoković, Dragomir Ž.; Zhao, Kaiming 17 1998 On simple modules over conformal Galilei algebras. Zbl 1343.17008Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming 16 2014 \(\mathcal{W}_n^+\)- and \(\mathcal{W}_n\)-module structures on \(U(\mathfrak{h}_n)\). Zbl 1338.17020Tan, Haijun; Zhao, Kaiming 15 2015 Irreducible Virasoro modules from tensor products. Zbl 1400.17012Tan, Haijun; Zhao, Kaiming 14 2016 Characterization of simple highest weight modules. Zbl 1327.17006Mazorchuk, Volodymyr; Zhao, Kaiming 14 2013 Verma modules over Virasoro-like algebras. Zbl 1109.17013Wang, Xian-Dong; Zhao, Kaiming 14 2006 Whittaker modules for the affine Lie algebra \(A_1^{(1)}\). Zbl 1369.17018Adamović, Dražen; Lü, Rencai; Zhao, Kaiming 13 2016 The \(q\)-Virasoro-like algebra. Zbl 0891.17015Zhao, Kaiming 13 1997 \(n\)-point Virasoro algebras and their modules of densities. Zbl 1355.17029Cox, Ben; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming 12 2014 A class of infinite dimensional simple Lie algebras. Zbl 0984.17009Zhao, Kaiming 12 2000 Irreducible weight modules over Witt algebras. Zbl 1266.17004Guo, Xiangqian; Zhao, Kaiming 11 2011 Highest weight irreducible representations of rank 2 quantum tori. Zbl 1094.17011Eswara Rao, S.; Zhao, K. 11 2004 Isomorphism classes and automorphism groups of algebras of Weyl type. Zbl 1119.17302Su, Yucai; Zhao, Kaiming 11 2002 Simple algebras of Weyl type. Zbl 1006.16003Su, Yucai; Zhao, Kaiming 11 2001 Generalized Poisson brackets and Lie algebras of type \(H\) in characteristic 0. Zbl 0931.17015Osborn, J. Marshall; Zhao, Kaiming 11 1999 Irreducible Harish-Chandra modules over extended Witt algebras. Zbl 1392.17006Guo, Xiangqian; Liu, Genqiang; Zhao, Kaiming 10 2014 Category \(\mathcal{O}\) for the Schrödinger algebra. Zbl 1380.17008Dubsky, Brendan; Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming 10 2014 Simple Lie color algebras of Weyl type. Zbl 1232.17041Su, Yucai; Zhao, Kaiming; Zhu, Linsheng 10 2003 Generalized Cartan type \(S\) Lie algebras in characteristic zero. Zbl 0978.17015Đoković, Dragomir Ž.; Zhao, Kaiming 10 1997 Structure of algebras of Weyl type. Zbl 1092.17015Su, Yucai; Zhao, Kaiming 9 2004 Isomorphisms between generalized Cartan type \(W\) Lie algebras in characteristic \(0\). Zbl 0912.17012Zhao, Kaiming 9 1998 Some simple subalgebras of generalized Block algebras. Zbl 0878.17021Đoković, Dragomir Ž.; Zhao, Kaiming 9 1997 Irreducible modules over Witt algebras \(\mathcal {W}_{n}\) and over \(\mathfrak {sl}_{n+1}(\mathbb {C})\). Zbl 1446.17018Tan, Haijun; Zhao, Kaiming 8 2018 Highest weight modules over pre-exp-polynomial Lie algebras. Zbl 1220.17001Batra, 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 1055.65056Đoković, Dragomir Ž.; Szechtman, F.; Zhao, K. 8 2003 Generalized Cartan type \(K\) Lie algebras in characteristic 0. Zbl 0902.17007Osborn, J. Marshall; Zhao, Kaiming 8 1997 Biderivations of the block Lie algebras. Zbl 1409.17011Liu, Xuewen; Guo, Xiangqian; Zhao, Kaiming 7 2018 New irreducible weight modules over Witt algebras with infinite-dimensional weight spaces. Zbl 1371.17010Liu, Genqiang; Zhao, Kaiming 7 2015 Classification of simple weight modules over the 1-spatial ageing algebra. Zbl 1394.17019Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming 7 2015 Classification of irreducible Harish-Chandra modules over generalized Virasoro algebras. Zbl 1280.17022Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming 7 2012 Real division algebras with large automorphism group. Zbl 1077.17001Đoković, Dragomir Ž.; Zhao, Kaiming 7 2004 On integrable representations for toroidal Lie superalgebras. Zbl 1048.17004Eswara Rao, S.; Zhao, K. 7 2004 Irreducible modules over the derivation algebras of rational quantum tori. Zbl 1269.17006Liu, Gengqiang; Zhao, Kaiming 6 2011 Classification of derivation-simple color algebras related to locally finite derivations. Zbl 1070.17013Su, Yucai; Zhao, Kaiming; Zhu, Linsheng 6 2004 Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices. Zbl 1063.15008Đoković, Dragomir Ž.; Zhao, Kaiming 6 2004 Simple Lie color algebras from graded associative algebras. Zbl 1042.17027Zhao, Kaiming 6 2003 Simple algebras of Weyl type. II. Zbl 1007.16002Zhao, Kaiming 6 2002 Generalized Cartan type \(S\) Lie algebras in characteristic 0. II. Zbl 1032.17040Zhao, Kaiming 6 2000 Doubly \(\mathbb{Z}\)-graded Lie algebras containing a Virasoro algebra. Zbl 0935.17013Osborn, J. Marshall; Zhao, Kaiming 6 1999 A characterization of the Block Lie algebra and its \(q\)-forms in characteristic \(0\). Zbl 0912.17011Osborn, J. Marshall; Zhao, Kaiming 6 1998 Representations of the Virasoro algebra. I. Zbl 0836.17020Zhao, Kaiming 6 1995 Graded simple Lie algebras and graded simple representations. Zbl 1431.17016Mazorchuk, Volodymyr; Zhao, Kaiming 5 2018 Simple superelliptic Lie algebras. Zbl 1418.17016Cox, Ben; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming 5 2017 Module structure on \(\mathcal U(H)\) for basic Lie superalgebras. Zbl 1395.17017Cai, Yan-an; Zhao, Kaiming 5 2015 Irreducible quasifinite modules over a class of Lie algebras of Block type. Zbl 1361.17014Chen, Hongjia; Guo, Xiangqian; Zhao, Kaiming 5 2014 Irreducible Harish Chandra modules over the derivation algebras of rational quantum tori. Zbl 1282.17009Liu, Genqiang; Zhao, Kaiming 5 2013 Normal forms for orthogonal similarity classes of skew-symmetric matrices. Zbl 1115.15010Đoković, Dragomir Ž.; Rietsch, Konstanze; Zhao, Kaiming 5 2007 Jordan decomposition of bilinear forms. Zbl 1079.14054Đoković, Dragomir Ž.; Zhao, Kaiming 5 2005 Biderivations and commuting linear maps on Lie algebras. Zbl 1422.17006Brešar, Matej; Zhao, Kaiming 4 2018 Verma modules over quantum torus Lie algebras. Zbl 1205.17022Lü, Rencai; Zhao, Kaiming 4 2010 Classical Lie superalgebras over simple associative algebras. Zbl 1129.17009Benkart, Georgia; Xu, Xiaoping; Zhao, Kaiming 4 2006 Real homogeneous algebras as truncated division algebras and their automorphism groups. Zbl 1071.17002Đoković, Dragomir Ž.; Zhao, Kaiming 4 2004 Vertex operator representations of quantum tori at roots of unity. Zbl 1156.17305Billig, Y.; Zhao, K. 4 2004 Weight sets of irreducible integrable representations of Kac-Moody algebras of indefinite type. Zbl 0891.17020Zhao, Kaiming 4 1996 Certain families of polynomials arising in the study of hyperelliptic Lie algebras. Zbl 1436.17031Cox, Ben; Zhao, Kaiming 3 2018 Simple weight modules over weak generalized Weyl algebras. Zbl 1319.16021Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming 3 2015 Integrable representations of toroidal Lie algebras co-ordinatized by rational quantum tori. Zbl 1300.17019Eswara Rao, S.; Zhao, Kaiming 3 2012 Harish-Chandra modules over the \(\mathbb Q\) Heisenberg-Virasoro algebra. Zbl 1200.17006Guo, Xiangqian; Liu, Xuewen; Zhao, Kaiming 3 2010 Invariant theory for non-associative real two-dimensional algebras and its applications. Zbl 1115.17001Đoković, Dragomir; Zhao, Kaiming 3 2004 Infinite-dimensional Lie algebras of type L. Zbl 1027.17018Osborn, J. Marshall; Zhao, Kaiming 3 2003 A characterization of certain loop Lie algebras. Zbl 0946.17013Osborn, J. Marshall; Zhao, Kaiming 3 1999 Automorphisms of the algebra of \(q\)-difference operators. Zbl 1011.17015Zhao, Kaiming 3 1999 Classification of a kind of irreducible Harish-Chandra modules over the algebras of differential operators. Zbl 0822.17019Zhao, Kaiming 3 1994 Lie algebra of derivations of the algebra of differential operators. Zbl 0796.17021Zhao, Kaiming 3 1993 Irreducible Witt modules from Weyl modules and \(\mathfrak{gl}_n\)-modules. Zbl 1426.17008Liu, Genqiang; Lu, Rencai; Zhao, Kaiming 2 2018 Finite-dimensional simple modules over generalized Heisenberg algebras. Zbl 1316.81046Lü, Rencai; Zhao, Kaiming 2 2015 Classifying zeros of two-sided quaternionic polynomials and computing zeros of two-sided polynomials with complex coefficients. Zbl 1293.11103Feng, Lianggui; Zhao, Kaiming 2 2013 Weyl type algebras from quantum tori. Zbl 1127.17022Zhao, Kaiming 2 2006 Kirillov’s problem for Lie algebras. Zbl 0982.17014Osborn, 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 1416.17002Cai, Yan-an; Liu, Genqiang; Nilsson, Jonathan; Zhao, Kaiming 1 2018 Automorphisms and derivations of nilradicals of Borel subalgebras in Kac-Moody algebras. Zbl 1271.17017Morita, Jun; Zhao, Kaiming 1 2012 An octonion algebra originating in combinatorics. Zbl 1242.17007Doković, Dragomir Ž.; Zhao, Kaiming 1 2010 Deformed Kac-Moody algebras and their representations. Zbl 1192.17011Liu, Jianbo; Zhao, Kaiming 1 2008 Rational Jordan decomposition of bilinear forms. Zbl 1085.14515Đoković, Dragomir Ž.; Zhao, Kaiming 1 2005 Diagonal plus tridiagonal representatives for symplectic congruence classes of symmetric matrices. Zbl 1138.17003Đokovic, D. Z.; Szechtman, F.; Zhao, K. 1 2005 Double \(\mathbb{Z}\)-graded Lie algebras containing a Heisenberg algebra. Zbl 0931.17020Osborn, J. M.; Zhao, Kaiming 1 1999 Irreducible modules over Witt algebras \(\mathcal {W}_{n}\) and over \(\mathfrak {sl}_{n+1}(\mathbb {C})\). Zbl 1446.17018Tan, Haijun; Zhao, Kaiming 8 2018 Biderivations of the block Lie algebras. Zbl 1409.17011Liu, Xuewen; Guo, Xiangqian; Zhao, Kaiming 7 2018 Graded simple Lie algebras and graded simple representations. Zbl 1431.17016Mazorchuk, Volodymyr; Zhao, Kaiming 5 2018 Biderivations and commuting linear maps on Lie algebras. Zbl 1422.17006Brešar, Matej; Zhao, Kaiming 4 2018 Certain families of polynomials arising in the study of hyperelliptic Lie algebras. Zbl 1436.17031Cox, Ben; Zhao, Kaiming 3 2018 Irreducible Witt modules from Weyl modules and \(\mathfrak{gl}_n\)-modules. Zbl 1426.17008Liu, 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 1416.17002Cai, Yan-an; Liu, Genqiang; Nilsson, Jonathan; Zhao, Kaiming 1 2018 A family of simple weight modules over the Virasoro algebra. Zbl 1396.17007Lü, Rencai; Zhao, Kaiming 18 2017 Simple superelliptic Lie algebras. Zbl 1418.17016Cox, Ben; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming 5 2017 Irreducible Virasoro modules from tensor products. Zbl 1400.17012Tan, Haijun; Zhao, Kaiming 14 2016 Whittaker modules for the affine Lie algebra \(A_1^{(1)}\). Zbl 1369.17018Adamović, Dražen; Lü, Rencai; Zhao, Kaiming 13 2016 A class of simple weight Virasoro modules. Zbl 1316.17017Liu, Genqiang; Lu, Rencai; Zhao, Kaiming 24 2015 \(\mathcal{W}_n^+\)- and \(\mathcal{W}_n\)-module structures on \(U(\mathfrak{h}_n)\). Zbl 1338.17020Tan, Haijun; Zhao, Kaiming 15 2015 New irreducible weight modules over Witt algebras with infinite-dimensional weight spaces. Zbl 1371.17010Liu, Genqiang; Zhao, Kaiming 7 2015 Classification of simple weight modules over the 1-spatial ageing algebra. Zbl 1394.17019Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming 7 2015 Module structure on \(\mathcal U(H)\) for basic Lie superalgebras. Zbl 1395.17017Cai, Yan-an; Zhao, Kaiming 5 2015 Simple weight modules over weak generalized Weyl algebras. Zbl 1319.16021Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming 3 2015 Finite-dimensional simple modules over generalized Heisenberg algebras. Zbl 1316.81046Lü, Rencai; Zhao, Kaiming 2 2015 Simple Virasoro modules which are locally finite over a positive part. Zbl 1317.17029Mazorchuk, Volodymyr; Zhao, Kaiming 37 2014 Irreducible Virasoro modules from irreducible Weyl modules. Zbl 1312.17018Lü, Rencai; Zhao, Kaiming 29 2014 On simple modules over conformal Galilei algebras. Zbl 1343.17008Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming 16 2014 \(n\)-point Virasoro algebras and their modules of densities. Zbl 1355.17029Cox, Ben; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming 12 2014 Irreducible Harish-Chandra modules over extended Witt algebras. Zbl 1392.17006Guo, Xiangqian; Liu, Genqiang; Zhao, Kaiming 10 2014 Category \(\mathcal{O}\) for the Schrödinger algebra. Zbl 1380.17008Dubsky, Brendan; Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming 10 2014 Irreducible quasifinite modules over a class of Lie algebras of Block type. Zbl 1361.17014Chen, Hongjia; Guo, Xiangqian; Zhao, Kaiming 5 2014 Tensor product weight modules over the Virasoro algebra. Zbl 1311.17004Chen, Hongjia; Guo, Xiangqian; Zhao, Kaiming 25 2013 Irreducible Virasoro modules from tensor products. II. Zbl 1317.17030Tan, Haijun; Zhao, Kaiming 24 2013 Fraction representations and highest-weight-like representations of the Virasoro algebra. Zbl 1316.17016Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming 19 2013 Characterization of simple highest weight modules. Zbl 1327.17006Mazorchuk, Volodymyr; Zhao, Kaiming 14 2013 Irreducible Harish Chandra modules over the derivation algebras of rational quantum tori. Zbl 1282.17009Liu, Genqiang; Zhao, Kaiming 5 2013 Classifying zeros of two-sided quaternionic polynomials and computing zeros of two-sided polynomials with complex coefficients. Zbl 1293.11103Feng, Lianggui; Zhao, Kaiming 2 2013 Classification of irreducible Harish-Chandra modules over generalized Virasoro algebras. Zbl 1280.17022Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming 7 2012 Integrable representations of toroidal Lie algebras co-ordinatized by rational quantum tori. Zbl 1300.17019Eswara Rao, S.; Zhao, Kaiming 3 2012 Automorphisms and derivations of nilradicals of Borel subalgebras in Kac-Moody algebras. Zbl 1271.17017Morita, Jun; Zhao, Kaiming 1 2012 Irreducible modules over the Virasoro algebra. Zbl 1250.17037Lü, Rencai; Guo, Xiangqian; Zhao, Kaiming 38 2011 Simple Harish-Chandra modules, intermediate series modules, and Verma modules over the loop-Virasoro algebra. Zbl 1282.17025Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming 23 2011 Supports of weight modules over Witt algebras. Zbl 1295.17007Mazorchuk, Volodymyr; Zhao, Kaiming 19 2011 Irreducible weight modules over Witt algebras. Zbl 1266.17004Guo, Xiangqian; Zhao, Kaiming 11 2011 Irreducible modules over the derivation algebras of rational quantum tori. Zbl 1269.17006Liu, Gengqiang; Zhao, Kaiming 6 2011 Classification of irreducible weight modules over the twisted Heisenberg-Virasoro algebra. Zbl 1250.17038Lü, Rencai; Zhao, Kaiming 36 2010 Verma modules over quantum torus Lie algebras. Zbl 1205.17022Lü, Rencai; Zhao, Kaiming 4 2010 Harish-Chandra modules over the \(\mathbb Q\) Heisenberg-Virasoro algebra. Zbl 1200.17006Guo, Xiangqian; Liu, Xuewen; Zhao, Kaiming 3 2010 An octonion algebra originating in combinatorics. Zbl 1242.17007Doković, Dragomir Ž.; Zhao, Kaiming 1 2010 Highest weight modules over pre-exp-polynomial Lie algebras. Zbl 1220.17001Batra, Punita; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming 8 2009 Deformed Kac-Moody algebras and their representations. Zbl 1192.17011Liu, Jianbo; Zhao, Kaiming 1 2008 Classification of simple weight Virasoro modules with a finite-dimensional weight space. Zbl 1128.17021Mazorchuk, Volodymyr; Zhao, Kaiming 32 2007 Normal forms for orthogonal similarity classes of skew-symmetric matrices. Zbl 1115.15010Đoković, Dragomir Ž.; Rietsch, Konstanze; Zhao, Kaiming 5 2007 Classification of irreducible weight modules over higher rank Virasoro algebras. Zbl 1143.17007Lu, Rencai; Zhao, Kaiming 24 2006 Verma modules over Virasoro-like algebras. Zbl 1109.17013Wang, Xian-Dong; Zhao, Kaiming 14 2006 Classical Lie superalgebras over simple associative algebras. Zbl 1129.17009Benkart, Georgia; Xu, Xiaoping; Zhao, Kaiming 4 2006 Weyl type algebras from quantum tori. Zbl 1127.17022Zhao, Kaiming 2 2006 Jordan decomposition of bilinear forms. Zbl 1079.14054Đoković, Dragomir Ž.; Zhao, Kaiming 5 2005 Rational Jordan decomposition of bilinear forms. Zbl 1085.14515Đoković, Dragomir Ž.; Zhao, Kaiming 1 2005 Diagonal plus tridiagonal representatives for symplectic congruence classes of symmetric matrices. Zbl 1138.17003Đokovic, D. Z.; Szechtman, F.; Zhao, K. 1 2005 Weight modules over exp-polynomial Lie algebras. Zbl 1060.17012Billig, Yuly; Zhao, Kaiming 30 2004 Weight modules over generalized Witt algebras with 1-dimensional weight spaces. Zbl 1069.17002Zhao, Kaiming 17 2004 Highest weight irreducible representations of rank 2 quantum tori. Zbl 1094.17011Eswara Rao, S.; Zhao, K. 11 2004 Structure of algebras of Weyl type. Zbl 1092.17015Su, Yucai; Zhao, Kaiming 9 2004 Real division algebras with large automorphism group. Zbl 1077.17001Đoković, Dragomir Ž.; Zhao, Kaiming 7 2004 On integrable representations for toroidal Lie superalgebras. Zbl 1048.17004Eswara Rao, S.; Zhao, K. 7 2004 Classification of derivation-simple color algebras related to locally finite derivations. Zbl 1070.17013Su, Yucai; Zhao, Kaiming; Zhu, Linsheng 6 2004 Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices. Zbl 1063.15008Đoković, Dragomir Ž.; Zhao, Kaiming 6 2004 Real homogeneous algebras as truncated division algebras and their automorphism groups. Zbl 1071.17002Đoković, Dragomir Ž.; Zhao, Kaiming 4 2004 Vertex operator representations of quantum tori at roots of unity. Zbl 1156.17305Billig, Y.; Zhao, K. 4 2004 Invariant theory for non-associative real two-dimensional algebras and its applications. Zbl 1115.17001Đoković, Dragomir; Zhao, Kaiming 3 2004 Verma modules over generalized Virasoro algebras Vir[\(G\)]. Zbl 1040.17023Hu, Jun; Wang, Xian-Dong; Zhao, Kai-Ming 21 2003 Simple Lie color algebras of Weyl type. Zbl 1232.17041Su, Yucai; Zhao, Kaiming; Zhu, Linsheng 10 2003 An algorithm that carries a square matrix into its transpose by an involutory congruence transformation. Zbl 1055.65056Đoković, Dragomir Ž.; Szechtman, F.; Zhao, K. 8 2003 Simple Lie color algebras from graded associative algebras. Zbl 1042.17027Zhao, Kaiming 6 2003 Infinite-dimensional Lie algebras of type L. Zbl 1027.17018Osborn, J. Marshall; Zhao, Kaiming 3 2003 Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series. Zbl 1035.17036Su, Yucai; Zhao, Kaiming 43 2002 Second cohomology group of generalized Witt type Lie algebras and certain representations. Zbl 1043.17012Su, Yucai; Zhao, Kaiming 20 2002 Isomorphism classes and automorphism groups of algebras of Weyl type. Zbl 1119.17302Su, Yucai; Zhao, Kaiming 11 2002 Simple algebras of Weyl type. II. Zbl 1007.16002Zhao, Kaiming 6 2002 Simple algebras of Weyl type. Zbl 1006.16003Su, Yucai; Zhao, Kaiming 11 2001 A class of infinite dimensional simple Lie algebras. Zbl 0984.17009Zhao, Kaiming 12 2000 Generalized Cartan type \(S\) Lie algebras in characteristic 0. II. Zbl 1032.17040Zhao, Kaiming 6 2000 Centers of down-up algebras. Zbl 0932.17007Zhao, Kaiming 23 1999 Infinite-dimensional Lie algebras of generalized Block type. Zbl 0932.17023Osborn, J. Marshall; Zhao, Kaiming 23 1999 Generalized Poisson brackets and Lie algebras of type \(H\) in characteristic 0. Zbl 0931.17015Osborn, J. Marshall; Zhao, Kaiming 11 1999 Doubly \(\mathbb{Z}\)-graded Lie algebras containing a Virasoro algebra. Zbl 0935.17013Osborn, J. Marshall; Zhao, Kaiming 6 1999 A characterization of certain loop Lie algebras. Zbl 0946.17013Osborn, J. Marshall; Zhao, Kaiming 3 1999 Automorphisms of the algebra of \(q\)-difference operators. Zbl 1011.17015Zhao, Kaiming 3 1999 Kirillov’s problem for Lie algebras. Zbl 0982.17014Osborn, J. Marshall; Zhao, Kaiming 2 1999 Double \(\mathbb{Z}\)-graded Lie algebras containing a Heisenberg algebra. Zbl 0931.17020Osborn, J. M.; Zhao, Kaiming 1 1999 Second cohomology of generalized Cartan type \(S\) Lie algebras in characteristic zero. Zbl 0929.17024Đoković, Dragomir Ž.; Zhao, Kaiming 1 1999 Derivations, isomorphisms, and second cohomology of generalized Witt algebras. Zbl 0952.17015Đoković, Dragomir Ž.; Zhao, Kaiming 45 1998 Some infinite-dimensional simple Lie algebras in characteristic \(0\) related to those of Block. Zbl 0929.17025Đoković, Dragomir Ž.; Zhao, Kaiming 17 1998 Isomorphisms between generalized Cartan type \(W\) Lie algebras in characteristic \(0\). Zbl 0912.17012Zhao, Kaiming 9 1998 A characterization of the Block Lie algebra and its \(q\)-forms in characteristic \(0\). Zbl 0912.17011Osborn, J. Marshall; Zhao, Kaiming 6 1998 Generalized Cartan type \(W\) Lie algebras in characteristic zero. Zbl 0886.17019Đoković, Dragomir Ž.; Zhao, Kaiming 18 1997 The \(q\)-Virasoro-like algebra. Zbl 0891.17015Zhao, Kaiming 13 1997 Generalized Cartan type \(S\) Lie algebras in characteristic zero. Zbl 0978.17015Đoković, Dragomir Ž.; Zhao, Kaiming 10 1997 Some simple subalgebras of generalized Block algebras. Zbl 0878.17021Đoković, Dragomir Ž.; Zhao, Kaiming 9 1997 Generalized Cartan type \(K\) Lie algebras in characteristic 0. Zbl 0902.17007Osborn, J. Marshall; Zhao, Kaiming 8 1997 Structures of Weyl groups of some Kac-Moody algebras. Zbl 0889.17023Lu, Caihui; Zhao, Kaiming 1 1997 Representations of the Virasoro-like algebra and its \(q\)-analog. Zbl 0891.17016Zhang, Hechun; Zhao, Kaiming 30 1996 Derivations, isomorphisms and second cohomology of generalized Block algebras. Zbl 0862.17013Đoković, Dragomir Ž.; Zhao, Kaiming 26 1996 Weight sets of irreducible integrable representations of Kac-Moody algebras of indefinite type. Zbl 0891.17020Zhao, Kaiming 4 1996 Reflections of root lattices for Kac-Moody algebras. Zbl 0851.17024Zhao, Kaiming 1 1996 ...and 5 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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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 all top 5 Cited in 26 Fields 383 Nonassociative rings and algebras (17-XX) 67 Associative rings and algebras (16-XX) 26 Quantum theory (81-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 10 Algebraic geometry (14-XX) 9 Group theory and generalizations (20-XX) 8 Topological groups, Lie groups (22-XX) 8 Dynamical systems and ergodic theory (37-XX) 3 Number theory (11-XX) 3 Category theory; homological algebra (18-XX) 3 \(K\)-theory (19-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year