Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras

Details Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras

2006-03-02

arxiv.org/abs/math/0603056v2

Mathematics

K-Theory and Homology

32 pages, Final Version

Scientific paper

A main contribution of this paper is the explicit construction of comparison morphisms between the standard bar resolution and Bardzell's minimal resolution for truncated quiver algebras (TQA's). As a direct application we describe explicitely the Yoneda product and derive several results on the structure of the cohomology ring of TQA's. For instance, we show that the product of odd degree cohomology classes is always zero. We prove that TQA's associated with quivers with no cycles or with neither sinks nor sources have trivial cohomology rings. On the other side we exhibit a fundamental example of a TQA with non trivial cohomology ring. Finaly, for truncated polyniomial algebras in one variable, we construct explicit cohomology classes in the bar resolution and give a full description of their cohomology ring.

Affiliated with

Also associated with

No associations

Rating

Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras 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 Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-369455