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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：149/0  |  提交时间：2021/01/14
Orthosymplectic Lie superalgebra  Supersymmetric differential operator  Oscillator representation  Irreducible module  Polynomial algebra  Exponential-polynomial function  
JANTZEN FILTRATION OF WEYL MODULES, PRODUCT OF YOUNG SYMMETRIZERS AND DENOMINATOR OF YOUNG'S SEMINORMAL BASIS 期刊论文
REPRESENTATION THEORY, 2020, 卷号: 24, 页码: 551-579
作者:  Fang, Ming;  Lim, Kay Jin;  Tan, Kai Meng
收藏  |  浏览/下载：117/0  |  提交时间：2021/01/14
Jantzen filtration  Young symmetrizer  Young's seminormal basis  
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：144/0  |  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  
Harish-Chandra's orthogonality relations for admissible representations 期刊论文
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2020, 卷号: 22, 期号: 4, 页码: 1095-1113
作者:  Huang, Jing-Song;  Milicic, Dragan;  Sun, Binyong
收藏  |  浏览/下载：141/0  |  提交时间：2020/05/24
Harish-Chandra orthogonality relations  real reductive group  Harish-Chandra module  homological pairing  elliptic pairing  
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：152/0  |  提交时间：2018/07/30
Inhomogeneous representation  simple Lie algebra E-7  exponential-polynomial function  equivalent combinatorics  algebraic variety  
A new functor from D (5)-Mod to E (6)-Mod 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2016, 卷号: 32, 期号: 8, 页码: 867-892
作者:  Xu, Xiao Ping
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
Simple Lie algebra of type E-6  simple Lie algebra of type D-5  module category  functor  irreducibility  
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：96/0  |  提交时间：2018/07/30
Functor  Irreducible module  Polynomial extension  Representation  Simple Lie algebra