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Factorization of the canonical bases for higher-level Fock spaces (Q3116817)

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Language	Label	Description	Also known as
English	Factorization of the canonical bases for higher-level Fock spaces	scientific article

Statements

scholarly article

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Factorization of the canonical bases for higher-level Fock spaces (English)

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Cédric Lecouvey

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Proceedings of the Edinburgh Mathematical Society

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publication date

12 February 2012

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full work available at URL

https://arxiv.org/abs/0909.2954

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zbMATH Keywords

Kashiwara-Lusztig canonical basis

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Fock space

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decomposition matrices

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cyclotomic Hecke algebras

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MaRDI profile type

MaRDI publication profile

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Finite Unitary Reflection Groups

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Parabolic Kazhdan-Lusztig polynomials, plethysm and generalized Hall-Littlewood functions for classical types

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Constructible characters and canonical bases

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

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

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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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Crystal graphs of higher level \(q\)-deformed Fock spaces, Lusztig \(a\)-values and Ariki-Koike algebras

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An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras.

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Murnaghan-Nakayama Rules for Characters of Iwahori-Hecke Algebras of the Complex Reflection Groups <i>G</i>(<i>r, p, n</i>)

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Cellular algebras

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

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

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An LLT-type algorithm for computing higher-level canonical bases

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Morita equivalences of Ariki-Koike algebras.

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On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials

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Graded decomposition numbers for cyclotomic Hecke algebras.

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Cellular structures on Hecke algebras of type \(B\).

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A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations

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An algorithm for computing the canonical bases of higher-level \(q\)-deformed Fock spaces

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Identifiers

zbMATH Open document ID

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10.1017/S0013091510000519

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3116817

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