Tensor, symmetric and exterior algebras Kähler modules

Abstract

Let be an algebraically closed field of characteristic zero, an affine k-algebra and let denote its universal finite Kähler module of differentials over . In this paper, we consider the tensor, exterior and symmetric algebras of Kähler modules introduced by H. Osborn [9]. We explore some interesting properties of the algebras of Kähler modules, which have not been considered before.