Restricted representations of the Witt superalgebras

Bin Shu; Chaowen Zhang

doi:10.1016/j.jalgebra.2010.04.032

Restricted representations of the Witt superalgebras

Bin Shu^*
, Chaowen Zhang

^*此作品的通讯作者

数学科学学院

China University of Mining and Technology

科研成果: 期刊稿件 › 文章 › 同行评审

35 引用（Scopus）

摘要

Let k be an algebraically closed field of characteristic p>3, and W(n) the superversion of the Witt algebra over k, i.e. the Lie superalgebra of superderivations of the Grassmann algebra of rank n over k. The simple modules and projective indecomposable modules in the restricted supermodule category for W(n) are studied. The character formulas for such simple modules are given, and the Cartan invariants for this category are presented.

源语言	英语
页（从-至）	652-672
页数	21
期刊	Journal of Algebra
卷	324
期	4
DOI	https://doi.org/10.1016/j.jalgebra.2010.04.032
出版状态	已出版 - 15 8月 2010

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10.1016/j.jalgebra.2010.04.032

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AB - Let k be an algebraically closed field of characteristic p>3, and W(n) the superversion of the Witt algebra over k, i.e. the Lie superalgebra of superderivations of the Grassmann algebra of rank n over k. The simple modules and projective indecomposable modules in the restricted supermodule category for W(n) are studied. The character formulas for such simple modules are given, and the Cartan invariants for this category are presented.

KW - Cartan invariants

KW - Character formulas

KW - Irreducible restricted supermodules

KW - Kac modules

KW - Witt superalgebras

UR - https://www.scopus.com/pages/publications/84861704468

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Restricted representations of the Witt superalgebras

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