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Homological stability and Graham-Lehrer cellular algebras

2023/09/30 by Guy Boyde, Boyde, Guy
Computer Science · Mathematics · #16E40 #16G99 (Primary) #Advanced Algebra and Logic #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2310.00373

openalex publication_date 2023/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show how to formulate some recent results from homological stability of algebras in Graham and Lehrer's language of cellular algebras. The aim is to begin to connect the new results from topology to well-established representation theoretic understandings of these objects.

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