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Conformal oscillator representations of orthosymplectic Lie superalgebras 期刊论文
JOURNAL OF PURE AND APPLIED ALGEBRA, 2021, 卷号: 225, 期号: 3, 页码: 24
作者:  Xu, Xiaoping
收藏  |  浏览/下载：182/0  |  提交时间：2021/01/14
Orthosymplectic Lie superalgebra  Supersymmetric differential operator  Oscillator representation  Irreducible module  Polynomial algebra  Exponential-polynomial function  
Projective oscillator representations of sl (n+1 vertical bar m) and osp(m vertical bar n+1) 期刊论文
COMMUNICATIONS IN ALGEBRA, 2020, 页码: 27
作者:  Chen, Ling;  Xu, Xiaoping
收藏  |  浏览/下载：179/0  |  提交时间：2021/01/14
Irreducible module  ortho-symplectic Lie superalgebra  oscillator representation  special linear Lie superalgebra  supersymmetric exponential-polynomial function  supersymmetric polynomial algebra  
Representations of E-7, equivalent combinatorics and algebraic varieties 期刊论文
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2018, 卷号: 17, 期号: 3, 页码: 22
作者:  Xu, Xiaoping
收藏  |  浏览/下载：182/0  |  提交时间：2018/07/30
Inhomogeneous representation  simple Lie algebra E-7  exponential-polynomial function  equivalent combinatorics  algebraic variety  
An improvement over the GVW algorithm for inhomogeneous polynomial systems 期刊论文
FINITE FIELDS AND THEIR APPLICATIONS, 2016, 卷号: 41, 页码: 174-192
作者:  Sun, Yao;  Huang, Zhenyu;  Wang, Dingkang;  Lin, Dongdai
收藏  |  浏览/下载：140/0  |  提交时间：2018/07/30
Grobner basis  The GVW algorithm  Signature-based algorithm  Linear algebra  Boolean polynomial ring  
On Implementing the Symbolic Preprocessing Function over Boolean Polynomial Rings in Grobner Basis Algorithms Using Linear Algebra 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2016, 卷号: 29, 期号: 3, 页码: 789-804
作者:  Sun Yao;  Huang Zhenyu;  Lin Dongdai;  Wang Dingkang
收藏  |  浏览/下载：143/0  |  提交时间：2018/07/30
Boolean polynomial rings  Grobner basis  implementation  linear algebra  
Projective Oscillator Representations of sl(n+1) and sp (2m+2) 期刊论文
JOURNAL OF LIE THEORY, 2016, 卷号: 26, 期号: 1, 页码: 97-115
作者:  Xu, Xiaoping
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/30
Special linear Lie algebra  symplectic Lie algebra  oscillator representation  irreducible module  polynomial algebra  exponential-polynomial function  
Conformal oscillator representations of orthogonal Lie algebras 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 1, 页码: 37-48
作者:  Xu XiaoPing
收藏  |  浏览/下载：138/0  |  提交时间：2018/07/30
orthogonal Lie algebra  differential operator  oscillator representation  irreducible module  polynomial algebra  exponential-polynomial function  
A New Functor from E (6)-mod to E (7)-mod 期刊论文
COMMUNICATIONS IN ALGEBRA, 2015, 卷号: 43, 期号: 9, 页码: 3589-3635
作者:  Xu, Xiaoping
收藏  |  浏览/下载：124/0  |  提交时间：2018/07/30
Functor  Irreducible module  Polynomial extension  Representation  Simple Lie algebra  
Partial differential equation approach to F-4 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2011, 卷号: 6, 期号: 4, 页码: 759-774
作者:  Xu, Xiaoping
收藏  |  浏览/下载：149/0  |  提交时间：2018/07/30
Lie algebra  F-4-module  singular vector  harmonic polynomial  partial differential equation  
A Cubic E-6-Generalization of the Classical Theorem on Harmonic Polynomials 期刊论文
JOURNAL OF LIE THEORY, 2011, 卷号: 21, 期号: 1, 页码: 145-164
作者:  Xu, Xiaoping
收藏  |  浏览/下载：147/0  |  提交时间：2018/07/30
Harmonic polynomial  E-6 Lie algebra  irreducible module  Dickson invariant  invariant differential operator  solution space