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Cox, Anton; Martin, Paul; Parker, Alison; Xi, Changchang (2006)
Publisher: Elsevier BV
Journal: Journal of Algebra
Languages: English
Types: Article
Subjects: QA, Algebra and Number Theory, 20C08, Mathematics - Representation Theory, Mathematics - Quantum Algebra
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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