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Character Formulas for a Class of Simple Restricted Modules over the Simple Lie Superalgebras of Witt Type.
- Source :
-
Chinese Annals of Mathematics . Jan2020, Vol. 41 Issue 1, p49-60. 12p. - Publication Year :
- 2020
-
Abstract
- Let F be an algebraically closed field of prime characteristic, and W(m, n, 1) be the simple restricted Lie superalgebra of Witt type over F, which is the Lie superalgebra of superderivations of the superalgebra A (m ; 1) ⊗ ∧ (n) , where A (m ; 1) is the truncated polynomial algebra with m indeterminants and ∧(n) is the Grassmann algebra with n indeterminants. In this paper, the author determines the character formulas for a class of simple restricted modules of W(m, n, 1) with atypical weights of type I. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LIE superalgebras
*CHARACTER
*ALGEBRA
*POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 02529599
- Volume :
- 41
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Chinese Annals of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 139866320
- Full Text :
- https://doi.org/10.1007/s11401-019-0185-x