Hochschild and cyclic homology of central extensions of preprojective algebras of ADE quivers

Details Hochschild and cyclic homology of central extensions of preprojective algebras of ADE quivers Hochschild and cyclic homology of central extensions of preprojective algebras of ADE quivers

2006-06-16

arxiv.org/abs/math/0606412v3

Mathematics

Representation Theory

22 pages

Scientific paper

Let A be the central extension of the preprojective algebra of an ADE quiver introduced by P. Etingof and E. Rains in math/0503393. The paper math/0606403 computes the structure of the zeroth Hochschild (co)homology of A. We generalize the results of math/0606403 by calculating the additive structure of all the Hochschild homology and cohomology groups of A and the cyclic homology of A, and to describe the universal deformation of A. Namely, we show that the (co)homology is periodic with period 4, and compute the first four (co)homology groups in each case.

Affiliated with

Also associated with

No associations

Rating

Hochschild and cyclic homology of central extensions of preprojective algebras of ADE quivers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hochschild and cyclic homology of central extensions of preprojective algebras of ADE quivers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hochschild and cyclic homology of central extensions of preprojective algebras of ADE quivers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-65726