## Xu, Xiaoping

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### Citations contained in zbMATH Open

50 Publications have been cited 472 times in 244 Documents Cited by Year
Xu, Xiaoping
2000
Introduction to vertex operator superalgebras and their modules. Zbl 0929.17030
Xu, Xiaoping
1998
On simple Novikov algebras and their irreducible modules. Zbl 0863.17003
Xu, Xiaoping
1996
Generalizations of the Block algebras. Zbl 1027.17007
Xu, Xiaoping
1999
Novikov-Poisson algebras. Zbl 0872.17030
Xu, Xiaoping
1997
Derivation-simple algebras and the structures of Lie algebras of Witt type. Zbl 0974.17009
Su, Yucai; Xu, Xiaoping; Zhang, Hechun
2000
New generalized simple Lie algebras of Cartan type over a field with characteristic 0. Zbl 0955.17019
Xu, Xiaoping
2000
Variational calculus of supervariables and related algebraic structures. Zbl 1012.37048
Xu, Xiaoping
2000
Structure of divergence-free Lie algebras. Zbl 1008.17005
Su, Yucai; Xu, Xiaoping
2001
Classification of simple Novikov algebras and their irreducible modules of characteristic 0. Zbl 1003.17003
Xu, Xiaoping
2001
A characterization of vertex algebras associated to even lattices. Zbl 0838.17033
Li, Haisheng; Xu, Xiaoping
1995
Hamiltonian operators and associative algebras with a derivation. Zbl 0837.16034
Xu, Xiaoping
1995
Hamiltonian superoperators. Zbl 0852.58043
Xu, Xiaoping
1995
Flag partial differential equations and representations of Lie algebras. Zbl 1171.35343
Xu, Xiaoping
2008
$$\mathbb Z^2$$-graded oscillator representations of $$\mathrm{sl}(n)$$. Zbl 1286.17008
Luo, Cuiling; Xu, Xiaoping
2013
Intertwining operators for twisted modules of a colored vertex operator superalgebra. Zbl 0838.17034
Xu, Xiaoping
1995
Differential invariants of classical groups. Zbl 0942.58036
Xu, Xiaoping
1998
Extensions of the conformal representations for orthogonal Lie algebras. Zbl 1292.17008
Xu, Xiaoping; Zhao, Yufeng
2013
On spinor vertex operator algebras and their modules. Zbl 0883.17027
Xu, Xiaoping
1997
Simple conformal superalgebras of finite growth. Zbl 1017.17023
Xu, Xiaoping
2000
Generalized projective representations for $$\mathrm{sl}(n+1)$$. Zbl 1261.17007
Zhao, Yufeng; Xu, Xiaoping
2011
Supersymmetric analogues of the classical theorem on harmonic polynomials. Zbl 1358.17009
Luo, Cuiling; Xu, Xiaoping
2014
$$\mathbb Z$$-graded oscillator representations of symplectic Lie algebras. Zbl 1308.17011
Luo, Cuiling; Xu, Xiaoping
2014
$$\mathbb Z$$-graded oscillator generalizations of the classical theorem on harmonic polynomials. Zbl 1286.17009
Luo, Cuiling; Xu, Xiaoping
2013
Classical Lie superalgebras over simple associative algebras. Zbl 1129.17009
Benkart, Georgia; Xu, Xiaoping; Zhao, Kaiming
2006
Structure of contact Lie algebras related to locally-finite derivations. Zbl 1053.17015
Su, Yucai; Xu, Xiaoping
2003
Central simple Poisson algebras. Zbl 1124.17302
Su, Yucai; Xu, Xiaoping
2004
Gel’fand-Dorfman bialgebras. Zbl 1160.17301
Xu, Xiaoping
2003
Representations of centrally-extended Lie algebras over differential operators and vertex algebras. Zbl 1161.17016
Xu, Xiaoping
2008
Stable-range approach to the equation of nonstationary transonic gas flows. Zbl 1142.35357
Xu, Xiaoping
2007
Conformal oscillator representations of orthogonal Lie algebras. Zbl 1375.17008
Xu, Xiaoping
2016
Skew-symmetric differential operators and combinatorial identities. Zbl 0924.05002
Xu, Xiaoping
1999
Twisted modules of coloured lattice vertex operator superalgebras. Zbl 0857.17024
Xu, Xiaoping
1996
Tree diagram Lie algebras of differential operators and evolution partial differential equations. Zbl 1134.17005
Xu, Xiaoping
2006
Stable-range approach to short wave and Khokhlov-Zabolotskaya equations. Zbl 1167.35325
Xu, Xiaoping
2009
Asymmetric and moving-frame approaches to Navier-Stokes equations. Zbl 1165.35432
Xu, Xiaoping
2009
A new functor from $$D_5-\mathrm{Mod}$$ to $$E_6-\mathrm{Mod}$$. Zbl 1354.17009
Xu, Xiaoping
2016
A new functor from $$E_6$$-Mod to $$E_7$$-Mod. Zbl 1377.17013
Xu, Xiaoping
2015
Differential-operator representations of $$S_n$$ and singular vectors in Verma modules. Zbl 1269.17007
Xu, Xiaoping
2012
Algebraic approaches to partial differential equations. Zbl 1273.35009
Xu, Xiaoping
2013
Lattice coset constructions of vertex operators. Zbl 0838.17031
Xu, Xiaoping
1995
Matrix-differential-operator approach to the Maxwell equations and the Dirac equation. Zbl 1165.35050
Xu, Xiaoping
2008
An analogue of the classical Yang-Baxter equation for general algebraic structures. Zbl 0828.17019
Xu, Xiaoping
1995
Central extensions of self-dual type-A complex lattices. Zbl 0820.17028
Xu, Xiaoping
1994
A gluing technique for constructing relatively self-dual codes. Zbl 0806.94023
Xu, Xiaoping
1994
$$k$$-graded algebras and vertex operators. Zbl 0962.17018
Xu, Xiaoping
1995
Differential equations for singular vectors of $$\text{sp}(2n)$$. Zbl 1106.17010
Xu, Xiaoping
2005
Analogue of vertex operator triality for ternary codes. Zbl 0838.17032
Xu, Xiaoping
1995
Self-dual lattices of type $$A$$. Zbl 0848.17034
Xu, Xiaoping
1995
Representations of $$E_7$$, equivalent combinatorics and algebraic varieties. Zbl 1422.17015
Xu, Xiaoping
2018
Representations of $$E_7$$, equivalent combinatorics and algebraic varieties. Zbl 1422.17015
Xu, Xiaoping
2018
Conformal oscillator representations of orthogonal Lie algebras. Zbl 1375.17008
Xu, Xiaoping
2016
A new functor from $$D_5-\mathrm{Mod}$$ to $$E_6-\mathrm{Mod}$$. Zbl 1354.17009
Xu, Xiaoping
2016
A new functor from $$E_6$$-Mod to $$E_7$$-Mod. Zbl 1377.17013
Xu, Xiaoping
2015
Supersymmetric analogues of the classical theorem on harmonic polynomials. Zbl 1358.17009
Luo, Cuiling; Xu, Xiaoping
2014
$$\mathbb Z$$-graded oscillator representations of symplectic Lie algebras. Zbl 1308.17011
Luo, Cuiling; Xu, Xiaoping
2014
$$\mathbb Z^2$$-graded oscillator representations of $$\mathrm{sl}(n)$$. Zbl 1286.17008
Luo, Cuiling; Xu, Xiaoping
2013
Extensions of the conformal representations for orthogonal Lie algebras. Zbl 1292.17008
Xu, Xiaoping; Zhao, Yufeng
2013
$$\mathbb Z$$-graded oscillator generalizations of the classical theorem on harmonic polynomials. Zbl 1286.17009
Luo, Cuiling; Xu, Xiaoping
2013
Algebraic approaches to partial differential equations. Zbl 1273.35009
Xu, Xiaoping
2013
Differential-operator representations of $$S_n$$ and singular vectors in Verma modules. Zbl 1269.17007
Xu, Xiaoping
2012
Generalized projective representations for $$\mathrm{sl}(n+1)$$. Zbl 1261.17007
Zhao, Yufeng; Xu, Xiaoping
2011
Stable-range approach to short wave and Khokhlov-Zabolotskaya equations. Zbl 1167.35325
Xu, Xiaoping
2009
Asymmetric and moving-frame approaches to Navier-Stokes equations. Zbl 1165.35432
Xu, Xiaoping
2009
Flag partial differential equations and representations of Lie algebras. Zbl 1171.35343
Xu, Xiaoping
2008
Representations of centrally-extended Lie algebras over differential operators and vertex algebras. Zbl 1161.17016
Xu, Xiaoping
2008
Matrix-differential-operator approach to the Maxwell equations and the Dirac equation. Zbl 1165.35050
Xu, Xiaoping
2008
Stable-range approach to the equation of nonstationary transonic gas flows. Zbl 1142.35357
Xu, Xiaoping
2007
Classical Lie superalgebras over simple associative algebras. Zbl 1129.17009
Benkart, Georgia; Xu, Xiaoping; Zhao, Kaiming
2006
Tree diagram Lie algebras of differential operators and evolution partial differential equations. Zbl 1134.17005
Xu, Xiaoping
2006
Differential equations for singular vectors of $$\text{sp}(2n)$$. Zbl 1106.17010
Xu, Xiaoping
2005
Central simple Poisson algebras. Zbl 1124.17302
Su, Yucai; Xu, Xiaoping
2004
Structure of contact Lie algebras related to locally-finite derivations. Zbl 1053.17015
Su, Yucai; Xu, Xiaoping
2003
Gel’fand-Dorfman bialgebras. Zbl 1160.17301
Xu, Xiaoping
2003
Structure of divergence-free Lie algebras. Zbl 1008.17005
Su, Yucai; Xu, Xiaoping
2001
Classification of simple Novikov algebras and their irreducible modules of characteristic 0. Zbl 1003.17003
Xu, Xiaoping
2001
Xu, Xiaoping
2000
Derivation-simple algebras and the structures of Lie algebras of Witt type. Zbl 0974.17009
Su, Yucai; Xu, Xiaoping; Zhang, Hechun
2000
New generalized simple Lie algebras of Cartan type over a field with characteristic 0. Zbl 0955.17019
Xu, Xiaoping
2000
Variational calculus of supervariables and related algebraic structures. Zbl 1012.37048
Xu, Xiaoping
2000
Simple conformal superalgebras of finite growth. Zbl 1017.17023
Xu, Xiaoping
2000
Generalizations of the Block algebras. Zbl 1027.17007
Xu, Xiaoping
1999
Skew-symmetric differential operators and combinatorial identities. Zbl 0924.05002
Xu, Xiaoping
1999
Introduction to vertex operator superalgebras and their modules. Zbl 0929.17030
Xu, Xiaoping
1998
Differential invariants of classical groups. Zbl 0942.58036
Xu, Xiaoping
1998
Novikov-Poisson algebras. Zbl 0872.17030
Xu, Xiaoping
1997
On spinor vertex operator algebras and their modules. Zbl 0883.17027
Xu, Xiaoping
1997
On simple Novikov algebras and their irreducible modules. Zbl 0863.17003
Xu, Xiaoping
1996
Twisted modules of coloured lattice vertex operator superalgebras. Zbl 0857.17024
Xu, Xiaoping
1996
A characterization of vertex algebras associated to even lattices. Zbl 0838.17033
Li, Haisheng; Xu, Xiaoping
1995
Hamiltonian operators and associative algebras with a derivation. Zbl 0837.16034
Xu, Xiaoping
1995
Hamiltonian superoperators. Zbl 0852.58043
Xu, Xiaoping
1995
Intertwining operators for twisted modules of a colored vertex operator superalgebra. Zbl 0838.17034
Xu, Xiaoping
1995
Lattice coset constructions of vertex operators. Zbl 0838.17031
Xu, Xiaoping
1995
An analogue of the classical Yang-Baxter equation for general algebraic structures. Zbl 0828.17019
Xu, Xiaoping
1995
$$k$$-graded algebras and vertex operators. Zbl 0962.17018
Xu, Xiaoping
1995
Analogue of vertex operator triality for ternary codes. Zbl 0838.17032
Xu, Xiaoping
1995
Self-dual lattices of type $$A$$. Zbl 0848.17034
Xu, Xiaoping
1995
Central extensions of self-dual type-A complex lattices. Zbl 0820.17028
Xu, Xiaoping
1994
A gluing technique for constructing relatively self-dual codes. Zbl 0806.94023
Xu, Xiaoping
1994
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### 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
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### 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
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### 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)