Constructible characters and canonical bases

DOI10.1016/J.JALGEBRA.2004.02.023zbMath1071.17015arXivmath/0303385OpenAlexW1966710000MaRDI QIDQ1879646

Hyohe Miyachi, Bernard Leclerc

Publication date: 23 September 2004

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

Full work available at URL: https://arxiv.org/abs/math/0303385

zbMATH Keywords

canonical basis

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (12)

Highest weight categories arising from Khovanov’s diagram algebra III: category 𝒪 ⋮ Irreducible Specht modules for Iwahori–Hecke algebras of type $B$ ⋮ Unnamed Item ⋮ Generalised canonical basic sets for Ariki-Koike algebras ⋮ On Calogero-Moser cellular characters for imprimitive complex reflection groups ⋮ Super duality and Kazhdan-Lusztig polynomials ⋮ On a conjecture about cellular characters for the complex reflection group \(G(d,1,n)\) ⋮ Constructible representations and basic sets in type \(B\). ⋮ Crystal graphs of irreducible \(\mathcal{U}_v (\widehat{\mathfrak{sl}}_e)\)-modules of level two and Uglov bipartitions ⋮ The Calogero-Moser partition and Rouquier families for complex reflection groups. ⋮ Uglov bipartitions and extended Young diagrams ⋮ Factorization of the canonical bases for higher-level Fock spaces

Cites Work

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• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
• A SIMPLE ALGORITHM FOR COMPUTING THE GLOBAL CRYSTAL BASIS OF AN IRREDUCIBLE U_q(sl_n)-MODULE
• Hecke Algebras with Unequal Parameters
• Left cells in type 𝐵_{𝑛} with unequal parameters
• Familles et blocs d'algèbres de Hecke
• On the classification of simple modules for cyclotomic Hecke algebras of type \(G(m,1,n)\) and Kleshchev multipartitions

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