Sandwich cellularity and a version of cell theory

arXiv2206.06678MaRDI QIDQ6402020

Publication date: 14 June 2022

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.

Has companion code repository: https://github.com/dtubbenhauer/sandcell

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of associative Artinian rings (16G10) Representation of semigroups; actions of semigroups on sets (20M30) Representation theory of associative rings and algebras (16G99) String diagrams and graphical calculi (18M30)

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