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

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Abstract Let ???? 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… Click to show full abstract

Abstract Let ???? 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 ????. 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.

Keywords: lie superalgebras; lie; special lie; witt special; irreducible modules; modules highest

Journal Title: Open Mathematics
Year Published: 2019

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