The homology of the partition algebras

DOI10.2140/pjm.2023.327.1arXiv2303.07979OpenAlexW4391920034MaRDI QIDQ6120753

Rachael Boyd, Peter Patzt, Richard Hepworth

Publication date: 21 February 2024

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.07979

zbMATH Keywords

homologypartition algebrashomological stabilityTor groups

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Partition algebras.
• Stable homology of automorphism groups of free groups.
• Decomposition theorem for homology groups of symmetric groups
• The homology of the Brauer algebras
• The structure of the partition algebras
• Integral Schur-Weyl duality for partition algebras
• On the homology of non-connected monoids and their associated groups
• TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION
• Filtrations on the homology of algebraic varieties
• Representation stability for diagram algebras
• Homological stability for Iwahori–Hecke algebras

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