Simple Modules for Modular Lie Superalgebras W(0∣n), S(0∣n), and K(n)

This paper constructs a series of modules from modular Lie superalgebras W(0∣n), S(0∣n), and K(n) over a field of prime characteristic p≠2. Cartan subalgebras, maximal vectors of these modular Lie superalgebras, can be solved. With certain properties of the positive root vectors, we obtain that the...

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Bibliographic Details
Main Authors: Zhu Wei, Qingcheng Zhang, Yongzheng Zhang, Chunyue Wang
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/250570
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Summary:This paper constructs a series of modules from modular Lie superalgebras W(0∣n), S(0∣n), and K(n) over a field of prime characteristic p≠2. Cartan subalgebras, maximal vectors of these modular Lie superalgebras, can be solved. With certain properties of the positive root vectors, we obtain that the sufficient conditions of these modules are irreducible L-modules, where L=W(0∣n), S(0∣n), and K(n).
ISSN:1687-9120
1687-9139