The BMR freeness conjecture for the first two families of the exceptional groups of rank 2

DOI10.1016/J.CRMA.2016.11.016zbMath1361.20027OpenAlexW2559895044WikidataQ122961640 ScholiaQ122961640MaRDI QIDQ501866

Eirini Chavli

Publication date: 10 January 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.11.016

zbMATH Keywords

Coxeter groupHecke algebrabraid groupBroué-Malle-Rouquier freeness conjecture

Mathematics Subject Classification ID

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

Related Items (4)

Lattice extensions of Hecke algebras ⋮ Proof of the Broué-Malle-Rouquier conjecture in characteristic zero (after I. Losev and I. Marin-G. Pfeiffer) ⋮ The BMR freeness conjecture for the tetrahedral and octahedral families ⋮ Proof of the BMR conjecture for \(G_{20}\) and \(G_{21}\)

Cites Work

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• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• Proof of the Broué-Malle-Rouquier conjecture in characteristic zero (after I. Losev and I. Marin-G. Pfeiffer)
• On the quotients of cubic Hecke algebras
• Representation theory of a Hecke algebra of \(G(r,p,n)\)
• The cubic Hecke algebra on at most 5 strands.
• Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups.
• Finite Unitary Reflection Groups

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