Combinatorics of orbit configuration spaces

DOI10.1093/imrn/rnaa296zbMath1444.55008arXiv1804.06863OpenAlexW3115841506MaRDI QIDQ2632715

Nir Gadish, Christin Bibby

Publication date: 15 May 2019

Published in: Séminaire Lotharingien de Combinatoire, International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.06863

zbMATH Keywords

subspace arrangementrepresentation stabilityLeray spectral sequenceDowling latticeorbit configuration spacepartition latticearrangement of varieties

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Algebraic aspects of posets (06A11) Group actions on combinatorial structures (05E18)

Related Items (5)

Representation stability in the level 4 braid group ⋮ A type \(B\) analog of the Whitehouse representation ⋮ Algebraic invariants of orbit configuration spaces in genus zero associated to finite groups ⋮ Shellability of generalized Dowling posets ⋮ A generating function approach to new representation stability phenomena in orbit configuration spaces

Cites Work

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• On orbit configuration spaces of spheres
• The Orlik-Solomon model for hypersurface arrangements
• Proof of Stembridge's conjecture on stability of Kronecker coefficients

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