Handlebody diagram algebras
(2023) Revista Matematica Iberoamericana — Vol. 39, n° 3, p. 845-896 (2023)
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- Abstract
- 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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Dos Santos Santana Forte Vaz, P., & Tubbenhauer, D. (2023). Handlebody diagram algebras. Revista Matematica Iberoamericana, 39(3), 845-896. https://doi.org/10.4171/RMI/1356 (Original work published 2023)