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Periodic algebras which are almost Koszul


Reference:

Brenner, S., Butler, M. C. R. and King, A. D., 2002. Periodic algebras which are almost Koszul. Algebras and Representation Theory, 5 (4), pp. 331-368.

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Official URL:

http://dx.doi.org/10.1023/A:1020146502185

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.

Details

Item Type Articles
CreatorsBrenner, S., Butler, M. C. R. and King, A. D.
DOI10.1023/A:1020146502185
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code7376

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