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2-Cocycles of the Lie superalgebras of Weyl type

Research paper by Guang'an Song, Yucai Su

Indexed on: 22 Nov '05Published on: 22 Nov '05Published in: Mathematics - Quantum Algebra



Abstract

In a paper by Su and Zhao, the Lie algebra $A[D]=A\otimes F[D]$ of Weyl type was defined and studied, where $A$ is a commutative associative algebra with an identity element over a field $F$ of arbitrary characteristic, and $F[D]$ is the polynomial algebra of a commutative derivation subalgebra $D$ of $A$. The 2-cocycles of a class of $A[D]$ were determined by Su. In the present paper, we determine the 2-cocycles of a class of Lie superalgebras of Weyl type over a field $F$ of characteristic 0.