A comparison of \(q\)-decomposition numbers in the \(q\)-deformed Fock spaces of higher levels

DOI10.1016/j.jalgebra.2011.09.035zbMath1267.17036arXiv1102.1780OpenAlexW2963855183MaRDI QIDQ427780

Kazuto Iijima

Publication date: 18 June 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1780

zbMATH Keywords

\(q\)-deformed Fock spaces of higher levelsrepresentation theory of Hecke algebra

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items (1)

On a higher level extension of Leclerc-Thibon product theorem in \(q\)-deformed Fock spaces

Cites Work

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• Product formulas for the cyclotomic \(v\)-Schur algebra and for the canonical bases of the Fock space
• A conjecture for \(q\)-decomposition matrices of cyclotomic \(v\)-Schur algebras.
• Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
• Parabolic Kazhdan-Lusztig polynomials and Schubert varieties
• On the decomposition matrices of the quantized Schur algebra
• Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras

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