SANDWICH CELLULARITY AND A VERSION OF CELL THEORY

Daniel Tubbenhauer

doi:10.1216/rmj.2024.54.1733

Abstract

We explain how the theory of sandwich cellular algebras can be seen as a version of cell theory for algebras. We apply this theory to many examples such as Hecke algebras, and various monoid and diagram algebras.

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Daniel Tubbenhauer. "SANDWICH CELLULARITY AND A VERSION OF CELL THEORY." Rocky Mountain J. Math. 54 (6) 1733 - 1773, December 2024. https://doi.org/10.1216/rmj.2024.54.1733

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Received: 4 September 2022; Accepted: 15 May 2023; Published: December 2024

First available in Project Euclid: 4 December 2024

Digital Object Identifier: 10.1216/rmj.2024.54.1733

Subjects:

Primary: 16G10 , 16G99

Secondary: 18M30 , 20C08 , 20M30

Keywords: Cellular algebras , diagram algebras , Kazhdan–Lusztig theory and Hecke algebras , representations of monoids and semigroups

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