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On the Mullineux involution for Ariki-Koike algebras. - MaRDI portal

On the Mullineux involution for Ariki-Koike algebras. (Q1024385)

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Language	Label	Description	Also known as
English	On the Mullineux involution for Ariki-Koike algebras.	scientific article

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scholarly article

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On the Mullineux involution for Ariki-Koike algebras. (English)

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zbMATH Open document ID

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10.1016/j.jalgebra.2008.09.033

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Cédric Lecouvey

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Journal of Algebra

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publication date

17 June 2009

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full work available at URL

https://arxiv.org/abs/0804.0478

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Hecke algebras

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Ariki-Koike algebras

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crystal bases

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crystal graphs

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generalized Mullineux involutions

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algorithms

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MaRDI profile type

MaRDI publication profile

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On the classification of simple modules for cyclotomic Hecke algebras of type \(G(m,1,n)\) and Kleshchev multipartitions

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Dipper–James–Murphy’s Conjecture for Hecke Algebras of Type B n

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The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)

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On the tensor product of two basic representations of \(U_v(\hat s l_e)\)

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On residue symbols and the Mullineux conjecture

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Modular Branching Rules and the Mullineux Map for Hecke Algebras of Type A

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A new proof of the Mullineux conjecture.

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Morita equivalences of Ariki-Koike algebras.

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Weights of multipartitions and representations of Ariki-Koike algebras. II: Canonical bases

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Branching functions of \(A_{n-1}^{(1)}\) and Jantzen-Seitz problem for Ariki-Koike algebras

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Cellular algebras

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A proof of the Mullineux conjecture

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Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)

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Crystal graphs of irreducible \(\mathcal{U}_v (\widehat{\mathfrak{sl}}_e)\)-modules of level two and Uglov bipartitions

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

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Branching Rules for Modular Representations of Symmetric Groups III: Some Corollaries and a Problem of Mullineux

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Hecke algebras at roots of unity and crystal bases of quantum affine algebras

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Zelevinsky's involution at roots of unity

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Bijections of <i>p</i> -Regular Partitions and <i>p</i> -Modular Irreducibles of the Symmetric Groups

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Some decomposition numbers for Hecke algebras of general linear groups

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A conjecture for \(q\)-decomposition matrices of cyclotomic \(v\)-Schur algebras.

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Mathematics(1 entry)

mardi Publication:1024385

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