Representations of the Witt superalgebra W(2)

Feifei Duan; Bin Shu

doi:10.1016/j.jalgebra.2013.07.034

Representations of the Witt superalgebra W(2)

Feifei Duan^*
, Bin Shu

^*此作品的通讯作者

数学科学学院

Zhejiang University

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

In this paper, we study representations of the Lie superalgebra W(2) of Witt type over an algebraically closed field of characteristic p > 2. All irreducible modules and their dimensions are determined, up to isomorphisms. Thus, all irreducible modules and their dimensions of osp(2|2) are determined in prime characteristic, up to isomorphisms.

源语言	英语
页（从-至）	272-286
页数	15
期刊	Journal of Algebra
卷	396
DOI	https://doi.org/10.1016/j.jalgebra.2013.07.034
出版状态	已出版 - 15 12月 2013

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10.1016/j.jalgebra.2013.07.034

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title = "Representations of the Witt superalgebra W(2)",

abstract = "In this paper, we study representations of the Lie superalgebra W(2) of Witt type over an algebraically closed field of characteristic p > 2. All irreducible modules and their dimensions are determined, up to isomorphisms. Thus, all irreducible modules and their dimensions of osp(2|2) are determined in prime characteristic, up to isomorphisms.",

keywords = "Dimensions, Non-restricted irreducible representations, Restricted supermodules, Witt superalgebra",

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T1 - Representations of the Witt superalgebra W(2)

AU - Duan, Feifei

AU - Shu, Bin

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N2 - In this paper, we study representations of the Lie superalgebra W(2) of Witt type over an algebraically closed field of characteristic p > 2. All irreducible modules and their dimensions are determined, up to isomorphisms. Thus, all irreducible modules and their dimensions of osp(2|2) are determined in prime characteristic, up to isomorphisms.

AB - In this paper, we study representations of the Lie superalgebra W(2) of Witt type over an algebraically closed field of characteristic p > 2. All irreducible modules and their dimensions are determined, up to isomorphisms. Thus, all irreducible modules and their dimensions of osp(2|2) are determined in prime characteristic, up to isomorphisms.

KW - Dimensions

KW - Non-restricted irreducible representations

KW - Restricted supermodules

KW - Witt superalgebra

UR - https://www.scopus.com/pages/publications/84884303348

U2 - 10.1016/j.jalgebra.2013.07.034

DO - 10.1016/j.jalgebra.2013.07.034

M3 - 文章

AN - SCOPUS:84884303348

SN - 0021-8693

VL - 396

SP - 272

EP - 286

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Representations of the Witt superalgebra W(2)

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