Homology of L_{\infty}-Algebras and Cyclic Homology

Details Homology of L_{\infty}-Algebras and Cyclic Homology Homology of L_{\infty}-Algebras and Cyclic Homology

1998-05-11

arxiv.org/abs/math/9805052v1

Mathematics

Quantum Algebra

8 pages

Scientific paper

A classical result of Loday-Quillen and Tsygan states that the Lie algebra
homology of the algebra of stable matrices over an associative algebra is
isomorphic, as a Hopf algebra, to the exterior algebra of the cyclic homology
of the algebra. In this paper we develop the necessary tools needed to extend
extend this result to the category of L_{\infty} algebras.

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