The Lie algebra structure on the first Hochschild cohomology group of a monomial algebra
Representation Theory
2007-05-23 v2 Rings and Algebras
Abstract
We study the Lie algebra structure of the first Hochschild cohomology group of a finite dimensional monomial algebra A, in terms of the combinatorics of its quiver, in any characteristic. This allows us also to examine the identity component of the algebraic group of outer automorphisms of A in characteristic zero. Criteria for the (semi-)simplicity, the solvability, the reductivity, the commutativity and the nilpotency are given.
Keywords
Cite
@article{arxiv.math/0111060,
title = {The Lie algebra structure on the first Hochschild cohomology group of a monomial algebra},
author = {C. Strametz},
journal= {arXiv preprint arXiv:math/0111060},
year = {2007}
}
Comments
22 pages Correction of typing errors