Restricted Representations of Lie Superalgebras of Hamiltonian Type

被引：0
作者：
Yu-Feng Yao
Bin Shu
机构：
[1] Shanghai Maritime University,Department of Mathematics
[2] East China Normal University,Department of Mathematics
来源：
Algebras and Representation Theory | 2013年 / 16卷
关键词：
Restricted Lie superalgebra; Lie superalgebra of Hamiltonian type; Restricted representation; Typical weight; Atypical weight; 17B10; 17B20; 17B35; 17B50;
D O I：
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学科分类号：
摘要：
Let F be an algebraically closed field of prime characteristic p > 2, H(n) the Hamiltonian Lie superalgebra over F. The simple restricted H(n)-modules are studied and classified. Furthermore, a sufficient and necessary condition is provided for restricted Kac modules to be simple.
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页码：615 / 632
页数：17
相关论文
共 13 条
[1]  
Farnsteiner R(1996)Note on Frobenius extensions and restricted Lie superalgebras J. Pure Appl. Algebra 108 241-256
[2]  
Kac V(1977)Lie superalgebras Adv. Math. 26 8-96
[3]  
Petrogradski V(1992)Identities in the enveloping algebras for modular Lie superalgebras J. Algebra 145 1-21
[4]  
Serganova V(2005)On representations of Cartan type Lie superalgebras Amer. Math. Soc. Transl. 213 223-239
[5]  
Shu B(2011)Character formulas for restricted simple modules of the special superalgebras Math. Nachr. 324 652-672
[6]  
Yao YF(2010)Restricted representations of the Witt superalgebras J. Algebra 14 463-481
[7]  
Shu B(2011)Representations of the restricted Cartan type Lie superalgebra Algebr. Represent. Theor 99 145-167
[8]  
Zhang CW(2009)( Proc. London Math. Soc. 213 756-765
[9]  
Shu B(2009), J. Pure Appl. Algebra undefined undefined-undefined
[10]  
Zhang CW(undefined), 1) undefined undefined undefined-undefined
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