Centralisers, complex reflection groups and actions in the Weyl group \(E_6\)

DOI10.1007/s40062-023-00326-1zbMath1527.20081arXiv2205.08230MaRDI QIDQ6074857

Roger Plymen, Nick J. Wright, Graham A. Niblo

Publication date: 19 October 2023

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.08230

zbMATH Keywords

Weyl groupsduality\(K\)-theoryexceptional Lie groupscomplex reflection groupscentralisers

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Cohomology theory for linear algebraic groups (20G10) Exceptional groups (20G41) Structure theory for linear algebraic groups (20G07)

Cites Work

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• Poincaré duality and Langlands duality for extended affine Weyl groups
• Complex reflection subgroups of real reflection groups
• Regular elements of finite reflection groups
• Gradings of positive rank on simple Lie algebras
• Stratified Langlands duality in the \(A_n\) tower
• Elliptic centralizers in Weyl groups and their coinvariant representations
• Conjectures about 𝑝-adic groups and their noncommutative geometry
• The Geometries of 3-Manifolds
• Regular Complex Polytopes
• Finite Unitary Reflection Groups

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