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arxiv: math/0411395 · v1 · submitted 2004-11-17 · 🧮 math.RT · math.QA

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

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keywords algebrastheoryclassrepresentationtowersapplyingaxiomaticblob
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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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