Edit Profile (opens in new tab) Xu, Xiaoping Compute Distance To: Compute Author ID: xu.xiaoping Published as: Xu, Xiaoping; Xu, Xiao Ping External Links: MGP · dblp Documents Indexed: 73 Publications since 1993, including 4 Books Reviewing Activity: 111 Reviews Co-Authors: 7 Co-Authors with 12 Joint Publications 216 Co-Co-Authors all top 5 Co-Authors 56 single-authored 4 Luo, Cuiling 4 Su, Yucai 2 Zhao, Yufeng 1 Benkart, Georgia M. 1 Chen, Ling 1 Li, Haisheng 1 Li, Xue 1 Nigmatulin, Robert I. 1 Shi, Xi-Ting 1 Yu, Yugang 1 Zhang, Hechun 1 Zhao, Kaiming all top 5 Serials 15 Journal of Algebra 6 Communications in Algebra 5 Journal of Lie Theory 4 Journal of Pure and Applied Algebra 4 Acta Applicandae Mathematicae 4 Algebra Colloquium 3 Acta Mathematica Sinica. English Series 3 Journal of Algebra and its Applications 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 2 Quarterly of Applied Mathematics 2 Journal of Physics A: Mathematical and General 2 Journal of Discrete Mathematical Sciences & Cryptography 1 Letters in Mathematical Physics 1 Moscow University Mechanics Bulletin 1 Acta Mathematica 1 Duke Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Southeast Asian Bulletin of Mathematics 1 Science in China. Series A 1 Annals of Operations Research 1 Far East Journal of Mathematical Sciences 1 Algebras and Representation Theory 1 Lobachevskii Journal of Mathematics 1 Lecture Notes Series, Seoul 1 Mathematics and its Applications (Dordrecht) 1 Frontiers of Mathematics in China 1 Science China. Mathematics all top 5 Fields 54 Nonassociative rings and algebras (17-XX) 13 Partial differential equations (35-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Quantum theory (81-XX) 5 Number theory (11-XX) 5 Topological groups, Lie groups (22-XX) 5 Fluid mechanics (76-XX) 5 Information and communication theory, circuits (94-XX) 4 Group theory and generalizations (20-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Associative rings and algebras (16-XX) 1 Ordinary differential equations (34-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 50 Publications have been cited 472 times in 244 Documents Cited by ▼ Year ▼ Quadratic conformal superalgebras. Zbl 1001.17024Xu, Xiaoping 48 2000 Introduction to vertex operator superalgebras and their modules. Zbl 0929.17030Xu, Xiaoping 47 1998 On simple Novikov algebras and their irreducible modules. Zbl 0863.17003Xu, Xiaoping 44 1996 Generalizations of the Block algebras. Zbl 1027.17007Xu, Xiaoping 42 1999 Novikov-Poisson algebras. Zbl 0872.17030Xu, Xiaoping 38 1997 Derivation-simple algebras and the structures of Lie algebras of Witt type. Zbl 0974.17009Su, Yucai; Xu, Xiaoping; Zhang, Hechun 33 2000 New generalized simple Lie algebras of Cartan type over a field with characteristic 0. Zbl 0955.17019Xu, Xiaoping 27 2000 Variational calculus of supervariables and related algebraic structures. Zbl 1012.37048Xu, Xiaoping 15 2000 Structure of divergence-free Lie algebras. Zbl 1008.17005Su, Yucai; Xu, Xiaoping 13 2001 Classification of simple Novikov algebras and their irreducible modules of characteristic 0. Zbl 1003.17003Xu, Xiaoping 13 2001 A characterization of vertex algebras associated to even lattices. Zbl 0838.17033Li, Haisheng; Xu, Xiaoping 13 1995 Hamiltonian operators and associative algebras with a derivation. Zbl 0837.16034Xu, Xiaoping 11 1995 Hamiltonian superoperators. Zbl 0852.58043Xu, Xiaoping 9 1995 Flag partial differential equations and representations of Lie algebras. Zbl 1171.35343Xu, Xiaoping 8 2008 \(\mathbb Z^2\)-graded oscillator representations of \(\mathrm{sl}(n)\). Zbl 1286.17008Luo, Cuiling; Xu, Xiaoping 8 2013 Intertwining operators for twisted modules of a colored vertex operator superalgebra. Zbl 0838.17034Xu, Xiaoping 8 1995 Differential invariants of classical groups. Zbl 0942.58036Xu, Xiaoping 7 1998 Extensions of the conformal representations for orthogonal Lie algebras. Zbl 1292.17008Xu, Xiaoping; Zhao, Yufeng 7 2013 On spinor vertex operator algebras and their modules. Zbl 0883.17027Xu, Xiaoping 6 1997 Simple conformal superalgebras of finite growth. Zbl 1017.17023Xu, Xiaoping 5 2000 Generalized projective representations for \(\mathrm{sl}(n+1)\). Zbl 1261.17007Zhao, Yufeng; Xu, Xiaoping 5 2011 Supersymmetric analogues of the classical theorem on harmonic polynomials. Zbl 1358.17009Luo, Cuiling; Xu, Xiaoping 5 2014 \(\mathbb Z\)-graded oscillator representations of symplectic Lie algebras. Zbl 1308.17011Luo, Cuiling; Xu, Xiaoping 4 2014 \(\mathbb Z\)-graded oscillator generalizations of the classical theorem on harmonic polynomials. Zbl 1286.17009Luo, Cuiling; Xu, Xiaoping 4 2013 Classical Lie superalgebras over simple associative algebras. Zbl 1129.17009Benkart, Georgia; Xu, Xiaoping; Zhao, Kaiming 4 2006 Structure of contact Lie algebras related to locally-finite derivations. Zbl 1053.17015Su, Yucai; Xu, Xiaoping 3 2003 Central simple Poisson algebras. Zbl 1124.17302Su, Yucai; Xu, Xiaoping 3 2004 Gel’fand-Dorfman bialgebras. Zbl 1160.17301Xu, Xiaoping 3 2003 Representations of centrally-extended Lie algebras over differential operators and vertex algebras. Zbl 1161.17016Xu, Xiaoping 3 2008 Stable-range approach to the equation of nonstationary transonic gas flows. Zbl 1142.35357Xu, Xiaoping 3 2007 Conformal oscillator representations of orthogonal Lie algebras. Zbl 1375.17008Xu, Xiaoping 3 2016 Skew-symmetric differential operators and combinatorial identities. Zbl 0924.05002Xu, Xiaoping 3 1999 Twisted modules of coloured lattice vertex operator superalgebras. Zbl 0857.17024Xu, Xiaoping 2 1996 Tree diagram Lie algebras of differential operators and evolution partial differential equations. Zbl 1134.17005Xu, Xiaoping 2 2006 Stable-range approach to short wave and Khokhlov-Zabolotskaya equations. Zbl 1167.35325Xu, Xiaoping 2 2009 Asymmetric and moving-frame approaches to Navier-Stokes equations. Zbl 1165.35432Xu, Xiaoping 2 2009 A new functor from \(D_5-\mathrm{Mod}\) to \(E_6-\mathrm{Mod}\). Zbl 1354.17009Xu, Xiaoping 2 2016 A new functor from \(E_6\)-Mod to \(E_7\)-Mod. Zbl 1377.17013Xu, Xiaoping 2 2015 Differential-operator representations of \(S_n\) and singular vectors in Verma modules. Zbl 1269.17007Xu, Xiaoping 2 2012 Algebraic approaches to partial differential equations. Zbl 1273.35009Xu, Xiaoping 2 2013 Lattice coset constructions of vertex operators. Zbl 0838.17031Xu, Xiaoping 2 1995 Matrix-differential-operator approach to the Maxwell equations and the Dirac equation. Zbl 1165.35050Xu, Xiaoping 1 2008 An analogue of the classical Yang-Baxter equation for general algebraic structures. Zbl 0828.17019Xu, Xiaoping 1 1995 Central extensions of self-dual type-A complex lattices. Zbl 0820.17028Xu, Xiaoping 1 1994 A gluing technique for constructing relatively self-dual codes. Zbl 0806.94023Xu, Xiaoping 1 1994 \(k\)-graded algebras and vertex operators. Zbl 0962.17018Xu, Xiaoping 1 1995 Differential equations for singular vectors of \(\text{sp}(2n)\). Zbl 1106.17010Xu, Xiaoping 1 2005 Analogue of vertex operator triality for ternary codes. Zbl 0838.17032Xu, Xiaoping 1 1995 Self-dual lattices of type \(A\). Zbl 0848.17034Xu, Xiaoping 1 1995 Representations of \(E_7\), equivalent combinatorics and algebraic varieties. Zbl 1422.17015Xu, Xiaoping 1 2018 Representations of \(E_7\), equivalent combinatorics and algebraic varieties. Zbl 1422.17015Xu, Xiaoping 1 2018 Conformal oscillator representations of orthogonal Lie algebras. Zbl 1375.17008Xu, Xiaoping 3 2016 A new functor from \(D_5-\mathrm{Mod}\) to \(E_6-\mathrm{Mod}\). Zbl 1354.17009Xu, Xiaoping 2 2016 A new functor from \(E_6\)-Mod to \(E_7\)-Mod. Zbl 1377.17013Xu, Xiaoping 2 2015 Supersymmetric analogues of the classical theorem on harmonic polynomials. Zbl 1358.17009Luo, Cuiling; Xu, Xiaoping 5 2014 \(\mathbb Z\)-graded oscillator representations of symplectic Lie algebras. Zbl 1308.17011Luo, Cuiling; Xu, Xiaoping 4 2014 \(\mathbb Z^2\)-graded oscillator representations of \(\mathrm{sl}(n)\). Zbl 1286.17008Luo, Cuiling; Xu, Xiaoping 8 2013 Extensions of the conformal representations for orthogonal Lie algebras. Zbl 1292.17008Xu, Xiaoping; Zhao, Yufeng 7 2013 \(\mathbb Z\)-graded oscillator generalizations of the classical theorem on harmonic polynomials. Zbl 1286.17009Luo, Cuiling; Xu, Xiaoping 4 2013 Algebraic approaches to partial differential equations. Zbl 1273.35009Xu, Xiaoping 2 2013 Differential-operator representations of \(S_n\) and singular vectors in Verma modules. Zbl 1269.17007Xu, Xiaoping 2 2012 Generalized projective representations for \(\mathrm{sl}(n+1)\). Zbl 1261.17007Zhao, Yufeng; Xu, Xiaoping 5 2011 Stable-range approach to short wave and Khokhlov-Zabolotskaya equations. Zbl 1167.35325Xu, Xiaoping 2 2009 Asymmetric and moving-frame approaches to Navier-Stokes equations. Zbl 1165.35432Xu, Xiaoping 2 2009 Flag partial differential equations and representations of Lie algebras. Zbl 1171.35343Xu, Xiaoping 8 2008 Representations of centrally-extended Lie algebras over differential operators and vertex algebras. Zbl 1161.17016Xu, Xiaoping 3 2008 Matrix-differential-operator approach to the Maxwell equations and the Dirac equation. Zbl 1165.35050Xu, Xiaoping 1 2008 Stable-range approach to the equation of nonstationary transonic gas flows. Zbl 1142.35357Xu, Xiaoping 3 2007 Classical Lie superalgebras over simple associative algebras. Zbl 1129.17009Benkart, Georgia; Xu, Xiaoping; Zhao, Kaiming 4 2006 Tree diagram Lie algebras of differential operators and evolution partial differential equations. Zbl 1134.17005Xu, Xiaoping 2 2006 Differential equations for singular vectors of \(\text{sp}(2n)\). Zbl 1106.17010Xu, Xiaoping 1 2005 Central simple Poisson algebras. Zbl 1124.17302Su, Yucai; Xu, Xiaoping 3 2004 Structure of contact Lie algebras related to locally-finite derivations. Zbl 1053.17015Su, Yucai; Xu, Xiaoping 3 2003 Gel’fand-Dorfman bialgebras. Zbl 1160.17301Xu, Xiaoping 3 2003 Structure of divergence-free Lie algebras. Zbl 1008.17005Su, Yucai; Xu, Xiaoping 13 2001 Classification of simple Novikov algebras and their irreducible modules of characteristic 0. Zbl 1003.17003Xu, Xiaoping 13 2001 Quadratic conformal superalgebras. Zbl 1001.17024Xu, Xiaoping 48 2000 Derivation-simple algebras and the structures of Lie algebras of Witt type. Zbl 0974.17009Su, Yucai; Xu, Xiaoping; Zhang, Hechun 33 2000 New generalized simple Lie algebras of Cartan type over a field with characteristic 0. Zbl 0955.17019Xu, Xiaoping 27 2000 Variational calculus of supervariables and related algebraic structures. Zbl 1012.37048Xu, Xiaoping 15 2000 Simple conformal superalgebras of finite growth. Zbl 1017.17023Xu, Xiaoping 5 2000 Generalizations of the Block algebras. Zbl 1027.17007Xu, Xiaoping 42 1999 Skew-symmetric differential operators and combinatorial identities. Zbl 0924.05002Xu, Xiaoping 3 1999 Introduction to vertex operator superalgebras and their modules. Zbl 0929.17030Xu, Xiaoping 47 1998 Differential invariants of classical groups. Zbl 0942.58036Xu, Xiaoping 7 1998 Novikov-Poisson algebras. Zbl 0872.17030Xu, Xiaoping 38 1997 On spinor vertex operator algebras and their modules. Zbl 0883.17027Xu, Xiaoping 6 1997 On simple Novikov algebras and their irreducible modules. Zbl 0863.17003Xu, Xiaoping 44 1996 Twisted modules of coloured lattice vertex operator superalgebras. Zbl 0857.17024Xu, Xiaoping 2 1996 A characterization of vertex algebras associated to even lattices. Zbl 0838.17033Li, Haisheng; Xu, Xiaoping 13 1995 Hamiltonian operators and associative algebras with a derivation. Zbl 0837.16034Xu, Xiaoping 11 1995 Hamiltonian superoperators. Zbl 0852.58043Xu, Xiaoping 9 1995 Intertwining operators for twisted modules of a colored vertex operator superalgebra. Zbl 0838.17034Xu, Xiaoping 8 1995 Lattice coset constructions of vertex operators. Zbl 0838.17031Xu, Xiaoping 2 1995 An analogue of the classical Yang-Baxter equation for general algebraic structures. Zbl 0828.17019Xu, Xiaoping 1 1995 \(k\)-graded algebras and vertex operators. Zbl 0962.17018Xu, Xiaoping 1 1995 Analogue of vertex operator triality for ternary codes. Zbl 0838.17032Xu, Xiaoping 1 1995 Self-dual lattices of type \(A\). Zbl 0848.17034Xu, Xiaoping 1 1995 Central extensions of self-dual type-A complex lattices. Zbl 0820.17028Xu, Xiaoping 1 1994 A gluing technique for constructing relatively self-dual codes. Zbl 0806.94023Xu, Xiaoping 1 1994 all cited Publications top 5 cited Publications all top 5 Cited by 213 Authors 37 Su, Yucai 25 Xu, Xiaoping 13 Bai, Chengming 12 Dong, Chongying 10 Li, Haisheng 9 Song, Guang’ai 9 Zhao, Kaiming 8 Yue, Xiaoqing 7 Chen, Liangyun 7 Xia, Chunguang 6 Hong, Yanyong 6 Jiang, Cuipo 6 Wu, Yuezhu 5 Adamović, Dražen 5 Han, Jianzhi 5 Luo, Cuiling 5 Pei, Yufeng 5 Tan, Shao Bin 5 Zhao, Yufeng 4 Ai, Chunrui 4 Cao, Bintao 4 Chen, Zhiqi 4 Jing, Naihuan 4 Kolesnikov, Pavel Sergeevich 4 Li, Chuanzhong 4 Meng, Daoji 4 Ren, Li 4 Winter, David J. 4 Xu, Ying 4 Zakharov, Anton Stanislavovich 3 Abe, Toshiyuki 3 Bokut, Leonid A. 3 Chen, Ling 3 Chen, Yuqun 3 He, Jingsong 3 Kaĭgorodov, Ivan B. 3 Wang, Xingting 3 Xin, Bin 3 Yuan, Lamei 3 Zhang, Zerui 3 Zhou, Jianhua 2 Artemovych, Orest Dem”yanovych 2 Bai, Zhanqiang 2 Blackmore, Denis L. 2 Creutzig, Thomas 2 Fan, Guangzhe 2 Gao, Ming 2 Guo, Shuangjian 2 Hu, Xianguo 2 Karimjanov, Ikboljon Abdulazizovich 2 Khudoyberdiyev, Abror Kh. 2 Lin, Shangyuan 2 Lin, Xingjun 2 Liu, Jiefeng 2 Liu, Ling 2 Lu, Jiafeng 2 Lü, Rencai 2 Luo, Li 2 Makhlouf, Abdenacer 2 Menini, Claudia 2 Morozov, Oleg I. 2 Panaite, Florin 2 Panasenko, Aleksandr Sergeevich 2 Prykarpatsky, Anatoliy Karolevych 2 Roitman, Michael 2 Sheng, Yunhe 2 Sun, Bing 2 Tang, Xiaomin 2 Wang, Shengxiang 2 Wang, Song 2 Wang, Wei 2 Wu, Henan 2 Xiao, Wei 2 Xu, Chongbin 2 Yamauchi, Hiroshi 2 Yu, Nina 2 Zhang, Runxuan 2 Zhelyabin, Viktor Nikolaevich 2 Zhou, Xin 1 Anguelova, Iana I. 1 Arike, Yusuke 1 Ayadi, Imen 1 Bahturin, Yuri 1 1 Bao, Yixin 1 Barron, Katrina 1 Ben Hassine, Abdelkader 1 Benayadi, Saïd 1 Berman, Stephen 1 Billig, Yuly 1 Brešar, Matej 1 Camacho, Luisa Maria 1 Chang, Jen-Hsu 1 Chang, Yuan 1 Chen, Haibo 1 Chen, Qiufan 1 Cheng, Jipeng 1 Cheng, Yongsheng 1 Chuah, Meng-Kiat 1 Chupakhin, Aleksandr P. ...and 113 more Authors all top 5 Cited in 57 Serials 40 Journal of Algebra 33 Communications in Algebra 16 Acta Mathematica Sinica. English Series 15 Journal of Pure and Applied Algebra 11 Journal of Mathematical Physics 11 Journal of Geometry and Physics 8 Science in China. Series A 8 Journal of Algebra and its Applications 7 Communications in Mathematical Physics 7 Algebra Colloquium 7 Science China. Mathematics 6 Communications in Contemporary Mathematics 5 Advances in Mathematics 5 Transactions of the American Mathematical Society 4 Proceedings of the American Mathematical Society 4 Chinese Annals of Mathematics. Series B 3 Letters in Mathematical Physics 3 International Journal of Algebra and Computation 3 Algebras and Representation Theory 3 Journal of Nonlinear Mathematical Physics 2 Reports on Mathematical Physics 2 Algebra and Logic 2 Czechoslovak Mathematical Journal 2 Mathematische Zeitschrift 2 Acta Applicandae Mathematicae 2 Transformation Groups 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Reviews in Mathematical Physics 1 Acta Mathematica 1 Canadian Journal of Mathematics 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Quarterly of Applied Mathematics 1 Siberian Mathematical Journal 1 Advances in Applied Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Journal of Symbolic Computation 1 International Journal of Mathematics 1 Linear Algebra and its Applications 1 Abstract and Applied Analysis 1 Communications in Nonlinear Science and Numerical Simulation 1 Central European Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Frontiers of Mathematics in China 1 Journal of Noncommutative Geometry 1 European Journal of Pure and Applied Mathematics 1 Japanese Journal of Mathematics. 3rd Series 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Symmetry 1 Analysis and Mathematical Physics 1 European Journal of Mathematics 1 Open Mathematics all top 5 Cited in 25 Fields 223 Nonassociative rings and algebras (17-XX) 22 Associative rings and algebras (16-XX) 22 Quantum theory (81-XX) 16 Partial differential equations (35-XX) 14 Dynamical systems and ergodic theory (37-XX) 10 Topological groups, Lie groups (22-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Differential geometry (53-XX) 4 Number theory (11-XX) 4 Fluid mechanics (76-XX) 3 General algebraic systems (08-XX) 3 Commutative algebra (13-XX) 3 Category theory; homological algebra (18-XX) 3 Group theory and generalizations (20-XX) 3 Algebraic topology (55-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Ordinary differential equations (34-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 \(K\)-theory (19-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year