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

Anton Cox·Paul Martin·Alison Parker·Changchang Xi
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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.

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Anton Cox, Paul Martin, Alison Parker, Changchang Xi. 2004-11-17. Representation theory of towers of recollement: theory, notes, and examples. https://arxiv.org/abs/math/0411395

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