Cyclic Homology and Lambda Operations
Chapter
Abstract
The exterior product operation permits us to define lambda operations on the homology of the Lie algebra of matrices gl(A), when A is a commutative algebra. By the Loday-Quillen theorem the primitive part of this homology is cyclic homology, which, therefore, inherits lambda operations. The aim of this paper is to give an explicit formula for these lambda operations on cyclic homology. It turns out that the classical Euler partition of the symmetric group is involved.
Keywords
Hopf Algebra Symmetric Group Commutative Algebra Cyclic Homology Coalgebra Structure
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References
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© Kluwer Academic Publishers 1989