Defect in cyclotomic Hecke algebras

DOI10.1007/s00209-023-03380-wzbMath1526.20011arXiv2105.08580OpenAlexW3163595615MaRDI QIDQ6090618

Maria Chlouveraki, Nicolas Jacon

Publication date: 17 November 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.08580

zbMATH Keywords

defectIwahori-Hecke algebrasblock of a symmetric algebraYokonuma-Hecke

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Modular representations and characters (20C20)

Cites Work

• An isomorphism theorem for Yokonuma-Hecke algebras and applications to link invariants
• Universal deformations of the finite quotients of the braid group on 3 strands.
• The freeness conjecture for Hecke algebras of complex reflection groups, and the case of the Hessian group \(G_{26}\).
• Representation theory and an isomorphism theorem for the framisation of the Temperley-Lieb algebra
• Representations of Hecke algebras at roots of unity.
• Blocks of category \(\mathcal O\) for rational Cherednik algebras and of cyclotomic Hecke algebras of type \(G(r,p,n)\).
• Schur elements for the Ariki-Koike algebra and applications.
• Morita equivalences of Ariki-Koike algebras.
• Weights of multipartitions and representations of Ariki-Koike algebras.
• Blocks and families for cyclotomic Hecke algebras.
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
• On the classification of \(l\)-blocks of finite groups of Lie type
• Schur indices and splitting fields of the unitary reflection groups
• On the new generators of the Hecke algebra \({\mathcal H}(G,U,\mathbf{1})\)
• Symmetric cyclotomic Hecke algebras
• Towards spetses. I
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• On the semi-simplicity of the Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\)
• Reduced words and a length function for \(G(e,1,n)\)
• Cell structures for the Yokonuma-Hecke algebra and the algebra of braids and ties
• Invariants for links from classical and affine Yokonuma-Hecke algebras
• Proof of the BMR conjecture for \(G_{20}\) and \(G_{21}\)
• Generalized hook lengths in symbols and partitions
• Unipotent Hecke algebras of \(\text{GL}_n(\mathbb{F}_q)\).
• Matrix units and generic degrees for the Ariki-Koike algebras.
• Unipotent degrees of imprimitive complex reflection groups
• Representation theory of a Hecke algebra of \(G(r,p,n)\)
• CHEVIE -- A system for computing and processing generic character tables
• The cubic Hecke algebra on at most 5 strands.
• Kleshchev multipartitions and extended Young diagrams
• The BMM symmetrising trace conjecture for groups \(G_{4}\), \(G_{5}\), \(G_{6}\), \(G_{7}\), \(G_{8}\)
• The BMM symmetrising trace conjecture for the exceptional 2-reflection groups of rank 2
• Decomposition matrices for the generic Hecke algebras on 3 strands in characteristic 0
• The development version of the \texttt{CHEVIE} package of \texttt{GAP3}.
• Finite complex reflection arrangements are \(K(\pi,1)\)
• Representation theory of the Yokonuma-Hecke algebra.
• Cores of Ariki-Koike algebras
• The BMR freeness conjecture for the 2-reflection groups
• Hecke algebras and symplectic reflection algebras
• Constructing representations of Hecke algebras for complex reflection groups
• Blocks with equal height zero degrees
• SCHUR ELEMENTS AND BASIC SETS FOR CYCLOTOMIC HECKE ALGEBRAS
• Cyclotomic quiver Hecke algebras and Hecke algebra of $G(r,p,n)$
• A skein-like multiplication algorithm for unipotent Hecke algebras
• Modular representations of cyclotomic Hecke algebras of type G(r, p, n)
• Brauer trees of hecke algebras
• Sur le corps de définition d'un groupe de réflexions complexe
• MARKOV TRACE ON THE YOKONUMA–HECKE ALGEBRA
• Markov Traces on Affine and Cyclotomic Yokonuma–Hecke Algebras
• The BMR freeness conjecture for the tetrahedral and octahedral families
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10
• BMR Freeness for Icosahedral Family
• Decomposition matrices for d-Harish-Chandra series: the exceptional rank two cases
• Schubert calculus and torsion explosion
• Finite Unitary Reflection Groups
• Weights of Markov traces and generic degrees
• Braid relations in the Yokonuma-Hecke algebra.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Defect in cyclotomic Hecke algebras