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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  
EFFECTIVE DEFINABILITY OF KOLCHIN POLYNOMIALS 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 卷号: 148, 期号: 4, 页码: 1455-1466
作者:  Freitag, James;  Sanchez, Omar Leon;  Li, Wei
收藏  |  浏览/下载：164/0  |  提交时间：2020/05/24
Differential fields  Kolchin polynomial  effective definability in families  
Partial differential Chow forms and a type of partial differential Chow varieties 期刊论文
COMMUNICATIONS IN ALGEBRA, 2020, 页码: 30
作者:  Li, Wei
收藏  |  浏览/下载：176/0  |  提交时间：2020/05/24
Kolchin polynomial  partial differential Chow form  partial differential Chow variety  quasi-generic differential intersection theory  
DYNAMIC EVALUATION OF EXPONENTIAL POLYNOMIAL CURVES AND SURFACES VIA BASIS TRANSFORMATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 5, 页码: A3401-A3420
作者:  Yang, Xunnian;  Hong, Jialin
收藏  |  浏览/下载：159/0  |  提交时间：2020/05/24
curves and surfaces  linear differential operator  exponential polynomial  dynamic evaluation  basis transformation  
A Triangular Decomposition Algorithm for Differential Polynomial Systems with Elementary Computation Complexity 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 卷号: 30, 期号: 2, 页码: 464-483
作者:  Zhu Wei;  Gao Xiao-Shan
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/30
Differential polynomial system  regular triangular set  saturated triangular set  triangular decomposition  
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  
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：149/0  |  提交时间：2018/07/30
Harmonic polynomial  E-6 Lie algebra  irreducible module  Dickson invariant  invariant differential operator  solution space  
Characteristic set method for differential-difference polynomial systems 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2009, 卷号: 44, 期号: 9, 页码: 1137-1163
作者:  Gao, X. S.;  Van der Hoeven, J.;  Yuan, C. M.;  Zhang, G. L.
收藏  |  浏览/下载：132/0  |  提交时间：2018/07/30
Characteristic set  Differential and difference polynomial  Regular ascending chain  Irreducible ascending chain  Zero decomposition algorithm  Perfect ideal membership problem  
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：119/0  |  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