On the semisimplicity of the outer derivations of monomial algebras

Details On the semisimplicity of the outer derivations of monomial algebras On the semisimplicity of the outer derivations of monomial algebras

2010-04-16

arxiv.org/abs/1004.2820v1

Mathematics

Rings and Algebras

Scientific paper

We show that the Hochschild cohomology of a monomial algebra over a field of characteristic zero vanishes from degree two if the first Hochschild cohomology is semisimple as a Lie algebra. We also prove that first Hochschild cohomology of a radical square zero algebra is reductive as a Lie algebra. In the case of the multiple loops quiver, we obtain the Lie algebra of square matrices of size equal to the number of loops.

Affiliated with

Also associated with

No associations

Rating

On the semisimplicity of the outer derivations of monomial 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 On the semisimplicity of the outer derivations of monomial algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the semisimplicity of the outer derivations of monomial algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-623897