JournalsrmiVol. 39, No. 3pp. 845–896

Handlebody diagram algebras

  • Daniel Tubbenhauer

    The University of Sydney, Australia

  • Pedro Vaz

    Université Catholique de Louvain, Louvain-la-Neuve, Belgium
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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.

Cite this article

Daniel Tubbenhauer, Pedro Vaz, Handlebody diagram algebras. Rev. Mat. Iberoam. 39 (2023), no. 3, pp. 845–896

DOI 10.4171/RMI/1356