Handlebody diagram algebras
Dos Santos Santana Forte Vaz, Pedro, Daniel Tubbenhauer
2023Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B))10 citationsDOIOpen Access PDF
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.
Topics & Concepts
HandlebodyDiagramMathematicsPhilosophyCombinatoricsStatisticsTopology (electrical circuits)Logic, programming, and type systemsAlgebraic structures and combinatorial modelsGeometric and Algebraic Topology