On the first Hochschild cohomology group of a cluster-tilted algebra

Mathematics – Representation Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

30 pages

Scientific paper

Given a cluster-tilted algebra B, we study its first Hochschild cohomology group HH^1(B) with coefficients in the B-B-bimodule B. If C is a tilted algebra such that B is the relation extension of C, then we show that if C is constrained, or else if B is tame, then HH^1(B) is isomorphic, as a k-vector space, to the direct sum of HH^1(C) with k^{n_{B,C}}, where n_{B,C} is an invariant linking the bound quivers of B and C. In the representation-finite case, HH^1(B) can be read off simply by looking at the quiver of B.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

On the first Hochschild cohomology group of a cluster-tilted algebra 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 On the first Hochschild cohomology group of a cluster-tilted algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the first Hochschild cohomology group of a cluster-tilted algebra will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-37133

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.