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- Title
The First Cohomology of osp(1,2) with Coefficients in Baby Verma Modules and Simple Modules.
- Authors
Wang, Shujuan; Liu, Wende
- Abstract
Over a field of characteristic p > 0 , the first cohomology of the orthogonal symplectic Lie superalgebra o s p (1 , 2) with coefficients in baby Verma modules and simple modules is determined by use of the weight space decompositions of these modules relative to a Cartan subalgebra of o s p (1 , 2). As a byproduct, the first cohomology of o s p (1 , 2) with coefficients in the restricted enveloping algebra (under the adjoint action) is not trivial.
- Subjects
LIE algebras; SUPERALGEBRAS; INFANTS; LIE superalgebras
- Publication
Algebra Colloquium, 2023, Vol 30, Issue 4, p599
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386723000469