Handlebody diagram algebras

• Daniel Tubbenhauer ^[1] ; Pedro Vaz ^[2]
  1. [1] University of Sydney

     University of Sydney

     Australia

     
  2. [2] Université Catholique de Louvain

     Université Catholique de Louvain

     Arrondissement de Nivelles, Bélgica

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 39, Nº 3, 2023, págs. 845-896
• Idioma: inglés
• DOI: 10.4171/RMI/1356
• Enlaces
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• Resumen

  • 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