Crystal isomorphisms for irreducible highest weight \(\mathcal{U}_{v}(\widehat{\mathfrak{sl}}_{e})\)-modules of higher level

DOI10.1007/s10468-009-9133-xzbMath1268.17017arXiv0706.0680OpenAlexW1635600312MaRDI QIDQ5962021

Nicolas Jacon, Cédric Lecouvey

Publication date: 16 September 2010

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.0680

zbMATH Keywords

Ariki-Koike algebras\(\mathcal{U}_{v}(\widehat{\mathfrak{sl}}_{e})\)-modulecrystal isomorphisms

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08)

Related Items (17)

The many integral graded cellular bases of Hecke algebras of complex reflection groups ⋮ Cores of Ariki-Koike algebras ⋮ Generalised canonical basic sets for Ariki-Koike algebras ⋮ Duality and bicrystals on infinite binary matrices ⋮ On Calogero-Moser cellular characters for imprimitive complex reflection groups ⋮ Mullineux involution and crystal isomorphisms ⋮ The modular branching rule for affine Hecke algebras of type \(A\). ⋮ Constructible representations and basic sets in type \(B\). ⋮ Keys and Demazure crystals for Kac-Moody algebras ⋮ Crystal isomorphisms in Fock spaces and Schensted correspondence in affine type \(A\) ⋮ Crystal isomorphisms and wall crossing maps for rational Cherednik algebras ⋮ Kleshchev multipartitions and extended Young diagrams ⋮ Two maps on affine type \(A\) crystals and Hecke algebras ⋮ On the Mullineux involution for Ariki-Koike algebras. ⋮ Uglov bipartitions and extended Young diagrams ⋮ Factorization of the canonical bases for higher-level Fock spaces ⋮ Generalized Mullineux involution and perverse equivalences

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