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

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

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 s...

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Bibliographic Details
Main Authors: Zheng Keli, Zhang Yongzheng
Format: Article
Language:English
Published: De Gruyter 2019-11-01
Series:Open Mathematics
Subjects:
modular lie superalgebra
graded module
irreducibility
highest weight
17b10
17b50
17b70
Online Access:https://doi.org/10.1515/math-2019-0117
Description
Summary: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.
ISSN:2391-5455

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