Lie stack deformations

[摘要] Enveloping algebras of Lie stacks give irreducible Hopf algebra deformations of U(g) which are neither commutative nor cocommutative. In this paper we present and study a large class of examples of Lie stacks. In particular, we show that the PBW-bases of these Hopf algebras do not have to be finite in general. Further, we construct a non-cocommutative Hopf structure on U(g) (usually with antipode of infinite order) whenever g has a codimension one Lie ideal h such that the quotient has the h-weight of an eigenvector of Lambda(2)h. (C) 1997 Academic Press.

[发布日期] 1997-10-15