Representations of quantum groups defined over commutative rings II

Abstract

a b s t r a c tIn this article we study the structure of highest weight modules for quantum groups defined over a commutative ring with particular emphasis on the structure theory for invariant bilinear forms on these modules.

Localization of Free Field Realizations of Affine Lie Algebras

“…Properties of these functors were studied also in [E]. Generalized versions of these functors for affine Lie algebras and for quantum groups were introduced in [Ark2] and [CE1,CE2], respectively.…”