# Handlebody diagram algebras

@inproceedings{Tubbenhauer2021HandlebodyDA, title={Handlebody diagram algebras}, author={D. Tubbenhauer and Pedro Vaz}, year={2021} }

In this paper we study handlebody versions of 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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