Periodic Algebras which are Almost Koszul
by Brenner, Sheila; Butler, Michael C. R.; King, Alastair D.
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 ‘almost Koszul’ algebras is developed and other examples are given.
DOI: 10.1023/A:1020146502185
Print publication date: 10/1/2002
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