Stable homology isomorphisms for the partition and Jones annular algebras

DOI10.1007/S00029-024-00992-WMaRDI QIDQ6638164

Guy Boyde

Publication date: 14 November 2024

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

zbMATH Keywords

homologypartition algebrasstability resultsannular algebrasJones annular algebrasTemperly-Lieb algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Cohomology of groups (20J06)

Cites Work

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• The homology of the Brauer algebras
• A quotient of the affine Hecke algebra in the Brauer algebra
• Cellular algebras
• Combinatorics of injective words for Temperley-Lieb algebras
• Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
• On algebras which are connected with the semisimple continuous groups
• ON THE REPRESENTATION THEORY OF PARTIAL BRAUER ALGEBRAS
• TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION
• Representations of the Rook-Brauer Algebra
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
• Homological stability for Iwahori–Hecke algebras
• The homology of the partition algebras
• Homological stability for Iwahori-Hecke algebras of type \(B_n\)
• The homology of the Temperley-Lieb algebras
• The homology of a Temperley-Lieb algebra on an odd number of strands

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