A necessary and sufficient condition for irreducibility of parabolic baby Verma modules of sl(4,k)

Yi Yang Li; Bin Shu; Yu Feng Yao

doi:10.1016/j.jpaa.2014.04.028

A necessary and sufficient condition for irreducibility of parabolic baby Verma modules of sl(4,k)

Yi Yang Li
, Bin Shu^*
, Yu Feng Yao

^*此作品的通讯作者

数学科学学院

Shanghai University of Engineering Science
Shanghai Maritime University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

Let G= SL(4, k) be a connected algebraic group over an algebraically closed field k of prime characteristic p and g=Lie(G)=sl(4,k). In this paper, we study representations of g with a p-character χ of standard Levi form. A necessary and sufficient condition for irreducibility of standard parabolic baby Verma g-modules is obtained.

源语言	英语
页（从-至）	760-766
页数	7
期刊	Journal of Pure and Applied Algebra
卷	219
期	4
DOI	https://doi.org/10.1016/j.jpaa.2014.04.028
出版状态	已出版 - 1 4月 2015

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10.1016/j.jpaa.2014.04.028

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AU - Li, Yi Yang

AU - Shu, Bin

AU - Yao, Yu Feng

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N2 - Let G= SL(4, k) be a connected algebraic group over an algebraically closed field k of prime characteristic p and g=Lie(G)=sl(4,k). In this paper, we study representations of g with a p-character χ of standard Levi form. A necessary and sufficient condition for irreducibility of standard parabolic baby Verma g-modules is obtained.

AB - Let G= SL(4, k) be a connected algebraic group over an algebraically closed field k of prime characteristic p and g=Lie(G)=sl(4,k). In this paper, we study representations of g with a p-character χ of standard Levi form. A necessary and sufficient condition for irreducibility of standard parabolic baby Verma g-modules is obtained.

UR - https://www.scopus.com/pages/publications/84916236164

U2 - 10.1016/j.jpaa.2014.04.028

DO - 10.1016/j.jpaa.2014.04.028

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ER -

A necessary and sufficient condition for irreducibility of parabolic baby Verma modules of sl(4,k)

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