Simple connectedness of quasitilted algebras

Mathematics – Representation Theory

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This note is a complement to the preprint arXiv:math/0702457 of the author and in which the same characterisation of simple co

Scientific paper

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.

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