The homology of the Brauer algebras

DOI10.1007/s00029-021-00697-4zbMath1484.20088arXiv2009.11590OpenAlexW3195198088MaRDI QIDQ821035

Richard Hepworth, Rachael Boyd, Peter Patzt

Publication date: 20 September 2021

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

Full work available at URL: https://arxiv.org/abs/2009.11590

zbMATH Keywords

homologyBrauer algebrashomological stability

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological methods in group theory (20J05) Symmetric groups (20B30)

Related Items

Representation stability for diagram algebras ⋮ Homological stability for Iwahori–Hecke algebras ⋮ The homology of the partition algebras ⋮ Homological stability for Iwahori-Hecke algebras of type \(B_n\)

Cites Work

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• Homological stability for configuration spaces of manifolds
• Homology stability for linear groups
• Stabilization for mapping class groups of 3-manifolds
• Stable homology of automorphism groups of free groups.
• The semisimplicity of \(\omega_f^n\)
• Decomposition theorem for homology groups of symmetric groups
• On the decomposition of Brauer's centralizer algebras
• Stability of the homology of the mapping class groups of orientable surfaces
• On the structure of Brauer's centralizer algebras
• Homology stability for \(GL_n\) of a Dedekind domain
• Configuration spaces of positive and negative particles
• The cohomology ring of the colored braid group
• Rational homology of \(\Aut(F_n)\).
• Homology stability for outer automorphism groups of free groups.
• Homological stability for automorphism groups of free groups
• Combinatorics of injective words for Temperley-Lieb algebras
• Central stability homology
• Complex of injective words revisited
• Homological stability for automorphism groups
• Representation theory and homological stability.
• Homological stability for the mapping class groups of non-orientable surfaces
• On the homology of non-connected monoids and their associated groups
• Filtrations on the homology of algebraic varieties
• Homological stability for moduli spaces of high dimensional manifolds. I
• HOMOLOGICAL STABILITY FOR UNORDERED CONFIGURATION SPACES
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem