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

Cox, A., Martin, P., Parker, A. & 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

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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.

Item Type: Article
Uncontrolled Keywords: BRAUER CENTRALIZER ALGEBRAS, TEMPERLEY-LIEB ALGEBRAS, BLOB ALGEBRA
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/374

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