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Author ID: xu.xiaoping Recent zbMATH articles by "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

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 472 times in 244 Documents Cited by Year
Quadratic conformal superalgebras. Zbl 1001.17024
Xu, Xiaoping
48
2000
Introduction to vertex operator superalgebras and their modules. Zbl 0929.17030
Xu, Xiaoping
47
1998
On simple Novikov algebras and their irreducible modules. Zbl 0863.17003
Xu, Xiaoping
44
1996
Generalizations of the Block algebras. Zbl 1027.17007
Xu, Xiaoping
42
1999
Novikov-Poisson algebras. Zbl 0872.17030
Xu, Xiaoping
38
1997
Derivation-simple algebras and the structures of Lie algebras of Witt type. Zbl 0974.17009
Su, Yucai; Xu, Xiaoping; Zhang, Hechun
33
2000
New generalized simple Lie algebras of Cartan type over a field with characteristic 0. Zbl 0955.17019
Xu, Xiaoping
27
2000
Variational calculus of supervariables and related algebraic structures. Zbl 1012.37048
Xu, Xiaoping
15
2000
Structure of divergence-free Lie algebras. Zbl 1008.17005
Su, Yucai; Xu, Xiaoping
13
2001
Classification of simple Novikov algebras and their irreducible modules of characteristic 0. Zbl 1003.17003
Xu, Xiaoping
13
2001
A characterization of vertex algebras associated to even lattices. Zbl 0838.17033
Li, Haisheng; Xu, Xiaoping
13
1995
Hamiltonian operators and associative algebras with a derivation. Zbl 0837.16034
Xu, Xiaoping
11
1995
Hamiltonian superoperators. Zbl 0852.58043
Xu, Xiaoping
9
1995
Flag partial differential equations and representations of Lie algebras. Zbl 1171.35343
Xu, Xiaoping
8
2008
\(\mathbb Z^2\)-graded oscillator representations of \(\mathrm{sl}(n)\). Zbl 1286.17008
Luo, Cuiling; Xu, Xiaoping
8
2013
Intertwining operators for twisted modules of a colored vertex operator superalgebra. Zbl 0838.17034
Xu, Xiaoping
8
1995
Differential invariants of classical groups. Zbl 0942.58036
Xu, Xiaoping
7
1998
Extensions of the conformal representations for orthogonal Lie algebras. Zbl 1292.17008
Xu, Xiaoping; Zhao, Yufeng
7
2013
On spinor vertex operator algebras and their modules. Zbl 0883.17027
Xu, Xiaoping
6
1997
Simple conformal superalgebras of finite growth. Zbl 1017.17023
Xu, Xiaoping
5
2000
Generalized projective representations for \(\mathrm{sl}(n+1)\). Zbl 1261.17007
Zhao, Yufeng; Xu, Xiaoping
5
2011
Supersymmetric analogues of the classical theorem on harmonic polynomials. Zbl 1358.17009
Luo, Cuiling; Xu, Xiaoping
5
2014
\(\mathbb Z\)-graded oscillator representations of symplectic Lie algebras. Zbl 1308.17011
Luo, Cuiling; Xu, Xiaoping
4
2014
\(\mathbb Z\)-graded oscillator generalizations of the classical theorem on harmonic polynomials. Zbl 1286.17009
Luo, Cuiling; Xu, Xiaoping
4
2013
Classical Lie superalgebras over simple associative algebras. Zbl 1129.17009
Benkart, Georgia; Xu, Xiaoping; Zhao, Kaiming
4
2006
Structure of contact Lie algebras related to locally-finite derivations. Zbl 1053.17015
Su, Yucai; Xu, Xiaoping
3
2003
Central simple Poisson algebras. Zbl 1124.17302
Su, Yucai; Xu, Xiaoping
3
2004
Gel’fand-Dorfman bialgebras. Zbl 1160.17301
Xu, Xiaoping
3
2003
Representations of centrally-extended Lie algebras over differential operators and vertex algebras. Zbl 1161.17016
Xu, Xiaoping
3
2008
Stable-range approach to the equation of nonstationary transonic gas flows. Zbl 1142.35357
Xu, Xiaoping
3
2007
Conformal oscillator representations of orthogonal Lie algebras. Zbl 1375.17008
Xu, Xiaoping
3
2016
Skew-symmetric differential operators and combinatorial identities. Zbl 0924.05002
Xu, Xiaoping
3
1999
Twisted modules of coloured lattice vertex operator superalgebras. Zbl 0857.17024
Xu, Xiaoping
2
1996
Tree diagram Lie algebras of differential operators and evolution partial differential equations. Zbl 1134.17005
Xu, Xiaoping
2
2006
Stable-range approach to short wave and Khokhlov-Zabolotskaya equations. Zbl 1167.35325
Xu, Xiaoping
2
2009
Asymmetric and moving-frame approaches to Navier-Stokes equations. Zbl 1165.35432
Xu, Xiaoping
2
2009
A new functor from \(D_5-\mathrm{Mod}\) to \(E_6-\mathrm{Mod}\). Zbl 1354.17009
Xu, Xiaoping
2
2016
A new functor from \(E_6\)-Mod to \(E_7\)-Mod. Zbl 1377.17013
Xu, Xiaoping
2
2015
Differential-operator representations of \(S_n\) and singular vectors in Verma modules. Zbl 1269.17007
Xu, Xiaoping
2
2012
Algebraic approaches to partial differential equations. Zbl 1273.35009
Xu, Xiaoping
2
2013
Lattice coset constructions of vertex operators. Zbl 0838.17031
Xu, Xiaoping
2
1995
Matrix-differential-operator approach to the Maxwell equations and the Dirac equation. Zbl 1165.35050
Xu, Xiaoping
1
2008
An analogue of the classical Yang-Baxter equation for general algebraic structures. Zbl 0828.17019
Xu, Xiaoping
1
1995
Central extensions of self-dual type-A complex lattices. Zbl 0820.17028
Xu, Xiaoping
1
1994
A gluing technique for constructing relatively self-dual codes. Zbl 0806.94023
Xu, Xiaoping
1
1994
\(k\)-graded algebras and vertex operators. Zbl 0962.17018
Xu, Xiaoping
1
1995
Differential equations for singular vectors of \(\text{sp}(2n)\). Zbl 1106.17010
Xu, Xiaoping
1
2005
Analogue of vertex operator triality for ternary codes. Zbl 0838.17032
Xu, Xiaoping
1
1995
Self-dual lattices of type \(A\). Zbl 0848.17034
Xu, Xiaoping
1
1995
Representations of \(E_7\), equivalent combinatorics and algebraic varieties. Zbl 1422.17015
Xu, Xiaoping
1
2018
Representations of \(E_7\), equivalent combinatorics and algebraic varieties. Zbl 1422.17015
Xu, Xiaoping
1
2018
Conformal oscillator representations of orthogonal Lie algebras. Zbl 1375.17008
Xu, Xiaoping
3
2016
A new functor from \(D_5-\mathrm{Mod}\) to \(E_6-\mathrm{Mod}\). Zbl 1354.17009
Xu, Xiaoping
2
2016
A new functor from \(E_6\)-Mod to \(E_7\)-Mod. Zbl 1377.17013
Xu, Xiaoping
2
2015
Supersymmetric analogues of the classical theorem on harmonic polynomials. Zbl 1358.17009
Luo, Cuiling; Xu, Xiaoping
5
2014
\(\mathbb Z\)-graded oscillator representations of symplectic Lie algebras. Zbl 1308.17011
Luo, Cuiling; Xu, Xiaoping
4
2014
\(\mathbb Z^2\)-graded oscillator representations of \(\mathrm{sl}(n)\). Zbl 1286.17008
Luo, Cuiling; Xu, Xiaoping
8
2013
Extensions of the conformal representations for orthogonal Lie algebras. Zbl 1292.17008
Xu, Xiaoping; Zhao, Yufeng
7
2013
\(\mathbb Z\)-graded oscillator generalizations of the classical theorem on harmonic polynomials. Zbl 1286.17009
Luo, Cuiling; Xu, Xiaoping
4
2013
Algebraic approaches to partial differential equations. Zbl 1273.35009
Xu, Xiaoping
2
2013
Differential-operator representations of \(S_n\) and singular vectors in Verma modules. Zbl 1269.17007
Xu, Xiaoping
2
2012
Generalized projective representations for \(\mathrm{sl}(n+1)\). Zbl 1261.17007
Zhao, Yufeng; Xu, Xiaoping
5
2011
Stable-range approach to short wave and Khokhlov-Zabolotskaya equations. Zbl 1167.35325
Xu, Xiaoping
2
2009
Asymmetric and moving-frame approaches to Navier-Stokes equations. Zbl 1165.35432
Xu, Xiaoping
2
2009
Flag partial differential equations and representations of Lie algebras. Zbl 1171.35343
Xu, Xiaoping
8
2008
Representations of centrally-extended Lie algebras over differential operators and vertex algebras. Zbl 1161.17016
Xu, Xiaoping
3
2008
Matrix-differential-operator approach to the Maxwell equations and the Dirac equation. Zbl 1165.35050
Xu, Xiaoping
1
2008
Stable-range approach to the equation of nonstationary transonic gas flows. Zbl 1142.35357
Xu, Xiaoping
3
2007
Classical Lie superalgebras over simple associative algebras. Zbl 1129.17009
Benkart, Georgia; Xu, Xiaoping; Zhao, Kaiming
4
2006
Tree diagram Lie algebras of differential operators and evolution partial differential equations. Zbl 1134.17005
Xu, Xiaoping
2
2006
Differential equations for singular vectors of \(\text{sp}(2n)\). Zbl 1106.17010
Xu, Xiaoping
1
2005
Central simple Poisson algebras. Zbl 1124.17302
Su, Yucai; Xu, Xiaoping
3
2004
Structure of contact Lie algebras related to locally-finite derivations. Zbl 1053.17015
Su, Yucai; Xu, Xiaoping
3
2003
Gel’fand-Dorfman bialgebras. Zbl 1160.17301
Xu, Xiaoping
3
2003
Structure of divergence-free Lie algebras. Zbl 1008.17005
Su, Yucai; Xu, Xiaoping
13
2001
Classification of simple Novikov algebras and their irreducible modules of characteristic 0. Zbl 1003.17003
Xu, Xiaoping
13
2001
Quadratic conformal superalgebras. Zbl 1001.17024
Xu, Xiaoping
48
2000
Derivation-simple algebras and the structures of Lie algebras of Witt type. Zbl 0974.17009
Su, Yucai; Xu, Xiaoping; Zhang, Hechun
33
2000
New generalized simple Lie algebras of Cartan type over a field with characteristic 0. Zbl 0955.17019
Xu, Xiaoping
27
2000
Variational calculus of supervariables and related algebraic structures. Zbl 1012.37048
Xu, Xiaoping
15
2000
Simple conformal superalgebras of finite growth. Zbl 1017.17023
Xu, Xiaoping
5
2000
Generalizations of the Block algebras. Zbl 1027.17007
Xu, Xiaoping
42
1999
Skew-symmetric differential operators and combinatorial identities. Zbl 0924.05002
Xu, Xiaoping
3
1999
Introduction to vertex operator superalgebras and their modules. Zbl 0929.17030
Xu, Xiaoping
47
1998
Differential invariants of classical groups. Zbl 0942.58036
Xu, Xiaoping
7
1998
Novikov-Poisson algebras. Zbl 0872.17030
Xu, Xiaoping
38
1997
On spinor vertex operator algebras and their modules. Zbl 0883.17027
Xu, Xiaoping
6
1997
On simple Novikov algebras and their irreducible modules. Zbl 0863.17003
Xu, Xiaoping
44
1996
Twisted modules of coloured lattice vertex operator superalgebras. Zbl 0857.17024
Xu, Xiaoping
2
1996
A characterization of vertex algebras associated to even lattices. Zbl 0838.17033
Li, Haisheng; Xu, Xiaoping
13
1995
Hamiltonian operators and associative algebras with a derivation. Zbl 0837.16034
Xu, Xiaoping
11
1995
Hamiltonian superoperators. Zbl 0852.58043
Xu, Xiaoping
9
1995
Intertwining operators for twisted modules of a colored vertex operator superalgebra. Zbl 0838.17034
Xu, Xiaoping
8
1995
Lattice coset constructions of vertex operators. Zbl 0838.17031
Xu, Xiaoping
2
1995
An analogue of the classical Yang-Baxter equation for general algebraic structures. Zbl 0828.17019
Xu, Xiaoping
1
1995
\(k\)-graded algebras and vertex operators. Zbl 0962.17018
Xu, Xiaoping
1
1995
Analogue of vertex operator triality for ternary codes. Zbl 0838.17032
Xu, Xiaoping
1
1995
Self-dual lattices of type \(A\). Zbl 0848.17034
Xu, Xiaoping
1
1995
Central extensions of self-dual type-A complex lattices. Zbl 0820.17028
Xu, Xiaoping
1
1994
A gluing technique for constructing relatively self-dual codes. Zbl 0806.94023
Xu, Xiaoping
1
1994
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

Citations by Year