where H;(_) denotes the Lie algebra homology, HC*(_) cyclic homology, and A is an algebra with unit over a field of characteristic zero. In this paper we give an alternative proof of this theorem which does not involve Weyl's invariant theory for GL(C). We use this approach to compute Chevalley-Eilenberg homology in some interesting new cases. In Section 1, we begin by proving (in characteristic 0) a Leday-QuillenTsygan theorem for complexes which occur as subcomplexes D* of the Chevalley… Expand

1 Introduction The original Loday–Quillen–Tsygan Theorem (LQT) is proven by Loday and Quillen [13] and independently by Tsygan [20]. It states that the ordinary Lie homology (here referred as… Expand

In this paper we prove that Loday--Quillen--Tsygan Theorem generalizes to the case of coalgebras. Specifically, we show that the Chevalley--Eilenberg--Lie homology of the Lie coalgebra of infinite… Expand

There is a Chern character from K-theory to negative cyclic homology. We show that it preserves the decomposition coming from Adams operations, at least in characteristic zero.

Our main result here is a rational computation of the homology of the adjoint action of the infinite general linear group of an arbitrary ring. Before stating the result we establish some notation… Expand

L'homologie de hochschild d'une algebre associative unitaire a est la partie primitive d'une nouvelle theorie homologique appliquee a l'algebre de lie des matrices sur a. On introduit une… Expand