Periodic algebras which are almost Koszul

S Brenner, M C R Butler, Alastair D King

Research output: Contribution to journalArticlepeer-review

66 Citations (Scopus)

Abstract

The preprojective algebra and the trivial extension algebra of a Dynkin quiver (in bipartite orientation) are very close to being a Koszul dual pair of algebras. In this case the usual duality theory may be adapted to show that each algebra has a periodic bimodule resolution built using the other algebra and some extra data: an algebra automorphism. A general theory of such lsquoalmost Koszulrsquo algebras is developed and other examples are given.
Original languageEnglish
Pages (from-to)331-368
Number of pages38
JournalAlgebras and Representation Theory
Volume5
Issue number4
DOIs
Publication statusPublished - Oct 2002

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