Calogero-Moser versus Kazhdan-Lusztig cells.

DOI10.2140/pjm.2013.261.45zbMath1276.20005arXiv1201.0585OpenAlexW2141665104MaRDI QIDQ1951181

Raphaël Rouquier, Cédric Bonnafé

Publication date: 29 May 2013

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0585

zbMATH Keywords

Hecke algebrasCoxeter groupsirreducible characterscomplex reflection groupsCherednik algebrasleft cellsKazhdan-Lusztig theorytwo-sided cells

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (9)

The many integral graded cellular bases of Hecke algebras of complex reflection groups ⋮ Conjugacy classes of involutions and Kazhdan–Lusztig cells ⋮ Suzuki functor at the critical level ⋮ Computational aspects of Calogero-Moser spaces ⋮ The rank-one property for free Frobenius extensions ⋮ AUTOMORPHISMS AND SYMPLECTIC LEAVES OF CALOGERO–MOSER SPACES ⋮ Calogero-Moser cells of dihedral groups at equal parameters ⋮ On the Calogero–Moser space associated with dihedral groups ⋮ An analogue of row removal for diagrammatic Cherednik algebras

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