Stable decompositions for some symmetric group characters arising in braid group cohomology.

DOI10.1016/j.jcta.2010.08.010zbMath1231.20011OpenAlexW2035604043MaRDI QIDQ2431272

David J. Hemmer

Publication date: 11 April 2011

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2010.08.010

zbMATH Keywords

symmetric groupspure braid groupsrepresentation stabilityPieri rulepermutation characters

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Braid groups; Artin groups (20F36) Cohomology of groups (20J06)

Related Items (9)

Coinduction functor in representation stability theory ⋮ Stability in the homology of congruence subgroups. ⋮ Regularity and stable ranges of \textbf{FI}-modules ⋮ Homological stability for configuration spaces of manifolds ⋮ Representation stability for the cohomology of the pure string motion groups. ⋮ Representation theory and homological stability. ⋮ \(\mathrm{FI}_{\mathcal{W}}\)-modules and constraints on classical Weyl group characters ⋮ Simplicial G-complexes and representation stability of polyhedral products ⋮ Stable decompositions of certain representations of the finite general linear groups

Uses Software

• Magma

Cites Work

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• On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes
• The Magma algebra system. I: The user language
• Representation theory and homological stability.

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