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arXiv · 2105.07049

Handlebody diagram algebras

Daniel Tubbenhauer·Pedro Vaz
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Abstract

In this paper we study handlebody versions of some classical diagram algebras, most prominently, handlebody versions of Temperley-Lieb, blob, Brauer, BMW, Hecke and Ariki-Koike algebras. Moreover, motivated by Green-Kazhdan-Lusztig's theory of cells, we reformulate the notion of (sandwich, inflated or affine) cellular algebras. We explain this reformulation and how all of the above algebras are part of this theory.

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BibTeXRIS

Daniel Tubbenhauer, Pedro Vaz. 2021-05-14. Handlebody diagram algebras. https://doi.org/10.4171/rmi%2F1356

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