Affordable Access

Simple connectedness of quasitilted algebras

Authors
  • Meur, Patrick Le
Type
Preprint
Publication Date
May 03, 2007
Submission Date
May 03, 2007
Identifiers
arXiv ID: 0705.0472
Source
arXiv
License
Unknown
External links

Abstract

Let A be a basic connected finite dimensional algebra over an algebraically closed field. Assuming that A is quasitilted, we prove that A is simply connected if and only if its first Hochschild cohomology group HH^1(A) vanishes. This generalises a result of I. Assem, F.U. Coelho and S. Trepode and which proves the same equivalence for tame quasitilted algebras.

Report this publication

Statistics

Seen <100 times