Homology of L_{\infty}Algebras and Cyclic Homology
Abstract
A classical result of LodayQuillen 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 1998
 DOI:
 10.48550/arXiv.math/9805052
 arXiv:
 arXiv:math/9805052
 Bibcode:
 1998math......5052K
 Keywords:

 Quantum Algebra;
 KTheory and Homology;
 19K56
 EPrint:
 8 pages