Irreducible modules with highest weight vectors over modular Witt and special Lie superalgebras-Reference-Cited by-同舟云学术

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Irreducible modules with highest weight vectors over modular Witt and special Lie superalgebras

Published:2019-11-19 Issue:1 Volume:17 Page:1381-1391
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Zheng Keli¹,Zhang Yongzheng²

Affiliation:

1. Department of Mathematics, Northeast Forestry University, Harbin, 150040, P.R. China

2. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, P.R. China

Abstract

Abstract Let 𝔽 be an arbitrary field of characteristic p > 2. In this paper we study irreducible modules with highest weight vectors over Witt and special Lie superalgebras of 𝔽. The same irreducible modules of general and special linear Lie superalgebras, which are the 0-th part of Witt and special Lie superalgebras in certain ℤ-grading, are also considered. Then we establish a certain connection called a P-expansion between these modules.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2019-0117/pdf

Reference54 articles.

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3. Maximum dimension of irreducible representations of simple Lie p-algebras of Cartan series S and H;Mat. Sb. (N.S.),1984

4. Some results on finite dimensional representations of general linear Lie superalgebras;Adv. Lect. Math.,2008

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