Minimal length elements of finite Coxeter groups.

DOI10.1215/00127094-1902382zbMath1272.20042arXiv1108.0282OpenAlexW2963940453MaRDI QIDQ1928333

Sian Nie, Xuhua He

Publication date: 3 January 2013

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0282

zbMATH Keywords

Coxeter groupsreflectionstwisted conjugacy classeselliptic conjugacy classesbraid monoidsminimal length elements

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Fixed points and coincidences in algebraic topology (55M20) Reflection groups, reflection geometries (51F15)

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Lifting of elements of Weyl groups, Minimal length elements of extended affine Weyl groups, The cocenter of the graded affine Hecke algebra and the density theorem, Cocenters and representations of pro-𝑝 Hecke algebras, On Lusztig's map for spherical unipotent conjugacy classes in disconnected groups, Minimal length elements of Coxeter groups., Parabolic Deligne-Lusztig varieties, Centers and cocenters of 0-Hecke algebras, Dimensions of Affine Deligne–Lusztig Varieties: A New Approach via Labeled Folded Alcove Walks and Root Operators, On the arithmetic fundamental lemma in the minuscule case, Decomposition matrices for low-rank unitary groups, The development version of the \texttt{CHEVIE} package of \texttt{GAP3}., \(P\)-alcoves, parabolic subalgebras and cocenters of affine Hecke algebras.

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