On Chevalley-Eilenberg and Cyclic Homologies

@article{Aboughazi1994OnCA,
  title={On Chevalley-Eilenberg and Cyclic Homologies},
  author={R. Aboughazi and Crichton Ogle},
  journal={Journal of Algebra},
  year={1994},
  volume={166},
  pages={317-339}
}
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… 

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