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

^*Corresponding author for this work

School of Mathematical Sciences

Zhejiang University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	272-286
Number of pages	15
Journal	Journal of Algebra
Volume	396
DOIs	https://doi.org/10.1016/j.jalgebra.2013.07.034
State	Published - 15 Dec 2013

Keywords

Dimensions
Non-restricted irreducible representations
Restricted supermodules
Witt superalgebra

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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.",

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author = "Feifei Duan and Bin Shu",

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AU - Shu, Bin

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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)

Abstract

Keywords

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