Quasi-hereditary twisted category algebras

Linckelmann, M. & Stolorz, M (2013). Quasi-hereditary twisted category algebras. Journal of Algebra, 385, pp. 1-13. doi: 10.1016/j.jalgebra.2013.02.036

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Abstract

We give a sufficient criterion for when a twisted finite category algebra over a field is quasi-hereditary, in terms of the partially ordered set of L-classes in the morphism set of the category. We show that this is a common generalisation of a long list of results in the context of EI-categories, regular monoids, Brauer algebras, Temperley–Lieb algebras, partition algebras.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/2362

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