학술논문
First Cohomology Space of the Orthosymplectic Lie Superalgebra osp(n|2) in the Lie Superalgebra of Superpseudodifferential Operators.
Document Type
Article
Author
Source
Subject
*COCYCLES
*GENERALIZATION
*COHOMOLOGY theory
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Language
ISSN
0041-5995
Abstract
We study the first cohomology space associated with the embedding of the Lie orthosymplectic superalgebra osp (n|2) on the (1,n)-dimensional superspace ℝ1|n in the Lie superalgebra S Ψ DO (n) (for n ≥ 4) of superpseudodifferential operators with smooth coefficients. Following Ovsienko and Roger, we present explicit expressions for the basis cocycles. We propose a simple generalization of a result obtained by Basdouri [Alg. Represent. Theory, 16, 35–50 (2013)]. [ABSTRACT FROM AUTHOR]