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

Mathematics – Representation Theory

Scientific paper

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16 pages, 9 figures

Scientific paper

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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