Proof of the Broué-Malle-Rouquier conjecture in characteristic zero (after I. Losev and I. Marin-G. Pfeiffer)

DOI10.1007/S40598-017-0069-7zbMath1386.20003arXiv1606.08456OpenAlexW2964266562WikidataQ123118581 ScholiaQ123118581MaRDI QIDQ1701166

Pavel I. Etingof

Publication date: 22 February 2018

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

Full work available at URL: https://arxiv.org/abs/1606.08456

zbMATH Keywords

Hecke algebracomplex reflection groupBroué-Malle-Rouquier conjecture

Mathematics Subject Classification ID

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

Related Items (11)

Generalized nil-Coxeter algebras ⋮ Holonomic modules over Cherednik algebras. I. ⋮ The diagonal coinvariant ring of a complex reflection group ⋮ Character sheaves for graded Lie algebras: stable gradings ⋮ BMR Freeness for Icosahedral Family ⋮ The BMR freeness conjecture for the first two families of the exceptional groups of rank 2 ⋮ On refined filtration by supports for rational Cherednik categories \(\mathcal {O}\) ⋮ On enumerating factorizations in reflection groups ⋮ Cherednik algebra for the normalizer ⋮ Unnamed Item ⋮ Generalized nil-Coxeter algebras over discrete complex reflection groups

Cites Work

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• The freeness conjecture for Hecke algebras of complex reflection groups, and the case of the Hessian group \(G_{26}\).
• The BMR freeness conjecture for the first two families of the exceptional groups of rank 2
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• On the category \(\mathcal O\) for rational Cherednik algebras.
• Report on the Broué-Malle-Rouquier conjectures
• Representation theory of a Hecke algebra of \(G(r,p,n)\)
• The cubic Hecke algebra on at most 5 strands.
• Finite-dimensional quotients of Hecke algebras.
• Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups.
• The BMR freeness conjecture for the 2-reflection groups
• Commensurabilities among Lattices in PU (1,n). (AM-132)
• Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras
• Finite Unitary Reflection Groups

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