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Irreducible modules with highest weight vectors over modular Witt and special Lie superalgebras
- Source :
- Open Mathematics, Vol 17, Iss 1, Pp 1381-1391 (2019)
- Publication Year :
- 2019
- Publisher :
- De Gruyter, 2019.
-
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.
Details
- Language :
- English
- ISSN :
- 23915455
- Volume :
- 17
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Open Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.f5ca0aaad24647b6835f35e474d573fb
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/math-2019-0117