On Calogero-Moser cellular characters for imprimitive complex reflection groups

DOI10.2140/tunis.2023.5.605zbMath1527.20002arXiv2204.01014OpenAlexW4225731484MaRDI QIDQ6084968

Nicolas Jacon, Abel Lacabanne

Publication date: 2 December 2023

Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01014

zbMATH Keywords

Fock spaceimprimitive complex reflection groupsCalogero-Moser cellular characters

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Quantum groups (quantized function algebras) and their representations (20G42)

Cites Work

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• Representations of Hecke algebras at roots of unity.
• Constructible characters and \(b\)-invariant.
• Rouquier blocks of the cyclotomic Ariki-Koike algebras.
• Blocks and families for cyclotomic Hecke algebras.
• Representations of Coxeter groups and Hecke algebras
• Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• Kazhdan-Lusztig cells with unequal parameters
• Families of characters of cyclotomic Hecke algebras.
• Constructible characters and canonical bases
• Unipotent degrees of imprimitive complex reflection groups
• On a conjecture about cellular characters for the complex reflection group \(G(d,1,n)\)
• The Calogero-Moser partition and Rouquier families for complex reflection groups.
• Hecke algebras of finite type are cellular.
• Cuspidal Calogero-Moser and Lusztig families for Coxeter groups
• Calogero-Moser cells of dihedral groups at equal parameters
• Canonical Bases Arising from Quantized Enveloping Algebras
• BABY VERMA MODULES FOR RATIONAL CHEREDNIK ALGEBRAS
• On the Calogero–Moser space associated with dihedral groups
• Hecke Algebras with Unequal Parameters
• Familles et blocs d'algèbres de Hecke
• Crystal isomorphisms for irreducible highest weight \(\mathcal{U}_{v}(\widehat{\mathfrak{sl}}_{e})\)-modules of higher level
• Gaudin algebras, RSK and Calogero–Moser cells in Type A

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