Equivariant character correspondences and inductive McKay condition for type \(\mathsf{A}\)

DOI10.1515/crelle-2014-0104zbMath1456.20009arXiv1305.6407OpenAlexW2964040424MaRDI QIDQ2363270

Britta Späth, Marc Cabanes

Publication date: 13 July 2017

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6407

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (30)

Equivariant correspondences and the inductive Alperin weight condition for type 𝖠 ⋮ Inductive blockwise Alperin weight condition for type \(\mathsf{B}\) and odd primes ⋮ Alperin weight conjecture and related developments ⋮ Characters of odd degree ⋮ Jordan decomposition for weights and the blockwise Alperin weight conjecture ⋮ Quasi-isolated blocks and the Alperin–McKay conjecture ⋮ On the inductive Alperin-McKay conditions in the maximally split case ⋮ Cuspidal characters and automorphisms ⋮ On the Alperin-McKay conjecture for simple groups of type A ⋮ The inductive blockwise Alperin weight condition for \(\mathrm{PSL}_n(q)\) with \((n,q - 1)=1\) ⋮ EXTENSIONS OF CHARACTERS IN TYPE D AND THE INDUCTIVE MCKAY CONDITION, I ⋮ On blocks with one modular character ⋮ The McKay conjecture and central isomorphic character triples ⋮ On the Alperin–McKay conjecture for 2‐blocks of maximal defect ⋮ Morita equivalences and the inductive blockwise Alperin weight condition for type 𝖠 ⋮ Counting conjectures and \(e\)-local structures in finite reductive groups ⋮ Unitriangular basic sets, Brauer characters and coprime actions ⋮ On the inductive blockwise Alperin weight condition for type \(\mathsf{A}\) ⋮ Unitriangular shape of decomposition matrices of unipotent blocks ⋮ The inductive blockwise Alperin weight condition for \(\text{PSp}_{2n}(q)\) and odd primes ⋮ The blocks and weights of finite special linear and unitary groups ⋮ Fake Galois actions ⋮ The inductive Alperin-McKay condition for 2-blocks with cyclic defect groups. ⋮ Odd-Degree Characters and Self-Normalizing Sylow 2-Subgroups: A Reduction to Simple Groups ⋮ Jordan decomposition for the Alperin-McKay conjecture ⋮ On Self-Normalising Sylow $2$-Subgroups in Type A ⋮ Harish-Chandra cuspidal pairs ⋮ An equivariant bijection between irreducible Brauer characters and weights for \(\mathrm{Sp}(2n,q)\) ⋮ Descent equalities and the inductive McKay condition for types \(\mathsf{B}\) and \(\mathsf{E}\) ⋮ Inductive McKay condition for finite simple groups of type 𝖢

Cites Work

• The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups and odd primes
• On Jordan decomposition of characters for \(\mathrm{SU}(n,q)\).
• Extensions of unipotent characters and the inductive McKay condition.
• Sylow \(d\)-tori of classical groups and the McKay conjecture. I.
• Sylow \(d\)-tori of classical groups and the McKay conjecture. II.
• The McKay conjecture for exceptional groups and odd primes.
• Generalized Gelfand-Graev representations of exceptional simple algebraic groups over a finite field. I
• Fourier transforms of nilpotently supported invariant functions on a simple Lie algebra over a finite field
• Generic Sylow theorems for the reductive groups over finite fields
• A unipotent support for irreducible representations
• Wreath product of linear groups
• Shintani descent for special linear groups
• New refinements of the McKay conjecture for arbitrary finite groups
• Equivariance and extendibility in finite reductive groups with connected center.
• A reduction theorem for the McKay conjecture.
• A reduction theorem for the Alperin–McKay conjecture
• Inductive McKay condition in defining characteristic
• Opérateur de torsion dans $SL_n(q)$ et $SU_n(q)$
• Height 0 characters of finite groups of Lie type
• The Inductive McKay Condition for Simple Groups Not of Lie Type
• Linear algebraic groups.
• On a theorem of Shintani
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