The freeness conjecture for Hecke algebras of complex reflection groups, and the case of the Hessian group \(G_{26}\).

DOI10.1016/j.jpaa.2013.08.009zbMath1291.20042arXiv1210.5632OpenAlexW2068533439WikidataQ123251505 ScholiaQ123251505MaRDI QIDQ392494

Ivan Marin

Publication date: 14 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5632

zbMATH Keywords

Hecke algebrasfinite Coxeter groupscomplex reflection groupsfreeness conjecture

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (19)

Universal deformations of the finite quotients of the braid group on 3 strands. ⋮ The freeness and trace conjectures for parabolic Hecke subalgebras ⋮ Generalized nil-Coxeter algebras ⋮ Lattice extensions of Hecke algebras ⋮ The BMM symmetrising trace conjecture for the exceptional 2-reflection groups of rank 2 ⋮ A Soergel-like category for complex reflection groups of rank one ⋮ Image of the braid groups inside the finite Iwahori-Hecke algebras ⋮ Hecke algebras of normalizers of parabolic subgroups ⋮ Defect in cyclotomic Hecke algebras ⋮ Geodesic normal forms and Hecke algebras for the complex reflection groups \(G(de, e, n)\) ⋮ Proof of the Broué-Malle-Rouquier conjecture in characteristic zero (after I. Losev and I. Marin-G. Pfeiffer) ⋮ The BMR freeness conjecture for the 2-reflection groups ⋮ The BMR freeness conjecture for the tetrahedral and octahedral families ⋮ The BMR freeness conjecture for the first two families of the exceptional groups of rank 2 ⋮ Proof of the BMR conjecture for \(G_{20}\) and \(G_{21}\) ⋮ The BMM symmetrising trace conjecture for groups \(G_{4}\), \(G_{5}\), \(G_{6}\), \(G_{7}\), \(G_{8}\) ⋮ A computational approach to Shephard groups ⋮ Unnamed Item ⋮ Generalized nil-Coxeter algebras over discrete complex reflection groups

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