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Representation theory of towers of recollement: Theory, notes, and examples

Cox, A., Martin, P., Parker, A. and Xi, C. (2006). Representation theory of towers of recollement: Theory, notes, and examples. Journal of Algebra, 302(1), pp. 340-360. doi: 10.1016/j.jalgebra.2006.01.009

Abstract

We give an axiomatic framework for studying the representation theory of towers of algebras. We introduce a new class of algebras, contour algebras, generalising (and interpolating between) blob algebras and cyclotomic Temperley–Lieb algebras. We demonstrate the utility of our formalism by applying it to this class.

Publication Type: Article
Publisher Keywords: BRAUER CENTRALIZER ALGEBRAS, TEMPERLEY-LIEB ALGEBRAS, BLOB ALGEBRA
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/374
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