Hochschild and cyclic homology of preprojective algebras of ADE quivers

Abstract

We calculate the additive structure (together with the grading) of the Hochschild homology and cohomology and the cyclic homology of preprojective algebras of types ADE.

arXiv comment13 pages, latex; in the last version a small error was corrected in Theorem 3.0.4 (cyclic homology needs to be replaced by reduced cyclic homology). arXiv admin note: text overlap with arXiv:math/0703568, arXiv:0710.4176