LOW-DIMENSIONAL COHOMOLOGY GROUPS OF THE LIE ALGEBRAS W(a, b)

作者:Gao, Shoulan; Jiang, Cuipo*; Pei, Yufeng
来源:Communications in Algebra, 2011, 39(2): 397-423.
DOI:10.1080/00927871003591835

摘要

In this article, we determine one-dimensional (Leibniz) central extensions, the derivation algebra, and the automorphism group of the infinite-dimensional Lie algebra W(a, b) (for a, b is an element of C) which is the semidirect product Lie algebra of the Witt algebra and its tensor density module I(a, b).