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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:157/0  |  提交时间:2018/07/30
Inhomogeneous representation  simple Lie algebra E-7  exponential-polynomial function  equivalent combinatorics  algebraic variety  
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:98/0  |  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:112/0  |  提交时间:2018/07/30
orthogonal Lie algebra  differential operator  oscillator representation  irreducible module  polynomial algebra  exponential-polynomial function  
conformaloscillatorrepresentationsoforthogonalliealgebras 期刊论文
sciencechinamathematics, 2016, 卷号: 59, 期号: 1, 页码: 37
作者:  Xu Xiaoping
收藏  |  浏览/下载:125/0  |  提交时间:2020/01/10
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:117/0  |  提交时间:2018/07/30
Lie algebra  F-4-module  singular vector  harmonic polynomial  partial differential equation  
New algebraic approaches to classical boundary layer problems 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 卷号: 27, 期号: 6, 页码: 1023-1070
作者:  Xu, Xiao Ping
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
Boundary layer equation  symmetry transformation  moving frame  exponential approach  trigonometric approach  hyperbolic approach  rational approach  
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:119/0  |  提交时间:2018/07/30
Harmonic polynomial  E-6 Lie algebra  irreducible module  Dickson invariant  invariant differential operator  solution space  
newalgebraicapproachestoclassicalboundarylayerproblems 期刊论文
actamathematicasinicaenglishseries, 2011, 卷号: 27, 期号: 6, 页码: 1023
作者:  Xu Xiaoping
收藏  |  浏览/下载:82/0  |  提交时间:2020/01/10
Quadratic-Argument Approach to Nonlinear Schrodinger Equation and Coupled Ones 期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2010, 卷号: 110, 期号: 2, 页码: 749-769
作者:  Xu, Xiaoping
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
Nonlinear  Schrodinger equation  Coupled  Exact solution  Symmetry  
Flag partial differential equations and representations of lie algebras 期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2008, 卷号: 102, 期号: 2-3, 页码: 249-280
作者:  Xu, Xiaoping
收藏  |  浏览/下载:87/0  |  提交时间:2018/07/30
flag  partial differential equation  polynomial solution  laplace equation  wave equation  tree diagram  generalized Tricomi operator  Lie algebra  representation