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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
Authors:  Xu, Xiaoping
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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
Authors:  Chen, Ling;  Xu, Xiaoping
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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
Authors:  Xu, Xiaoping
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Inhomogeneous representation  simple Lie algebra E-7  exponential-polynomial function  equivalent combinatorics  algebraic variety  
REPRESENTATION THEORY, 2017, 卷号: 21, 页码: 458-466
Authors:  Bao, Yixin;  Sun, Binyong
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Reductive dual pair  theta correspondence  Casselman-Wallach representation  Harish-Chandra module  
The explicit theta correspondence for reductive dual pairs (Sp(p, q), O*(4)) 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 卷号: 271, 期号: 9, 页码: 2422-2459
Authors:  Bao, Yixin
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Reductive dual pairs  Theta correspondence  Langlands classification  
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
Authors:  Xu, Xiao Ping
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Simple Lie algebra of type E-6  simple Lie algebra of type D-5  module category  functor  irreducibility  
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
Authors:  Xu, Xiaoping
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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
Authors:  Xu XiaoPing
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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
Authors:  Xu Xiaoping
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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
Authors:  Xu, Xiaoping
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Functor  Irreducible module  Polynomial extension  Representation  Simple Lie algebra