Jordan decomposition for the Alperin-McKay conjecture

DOI10.1016/j.aim.2021.108031OpenAlexW3203297608WikidataQ113881009 ScholiaQ113881009MaRDI QIDQ2064471

Lucas Ruhstorfer

Publication date: 6 January 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.04499

zbMATH Keywords

Alperin-McKay conjectureJordan decomposition for groups of Lie type

Mathematics Subject Classification ID

Representations of finite groups of Lie type (20C33)

Related Items (12)

Alperin weight conjecture and related developments ⋮ Derived equivalences and equivariant Jordan decomposition ⋮ Jordan decomposition for weights and the blockwise Alperin weight conjecture ⋮ Quasi-isolated blocks and the Alperin–McKay conjecture ⋮ Minimal heights and defect groups with two character degrees ⋮ The fields of values of the height zero characters ⋮ A criterion for the inductive Alperin weight condition ⋮ 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 ⋮ The strengthened Broué abelian defect group conjecture for \(\mathrm{SL} (2,p^n)\) and \(\mathrm{GL} (2,p^n)\) ⋮ Height zero characters in principal blocks

Cites Work

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• Equivariant character correspondences and inductive McKay condition for type \(\mathsf{A}\)
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• Inductive McKay condition in defining characteristic
• Coxeter Orbits and Modular Representations
• Groupes réductifs non connexes
• Clifford theory of characters in induced blocks
• Quasi-Isolated Elements in Reductive Groups
• The classification of the finite simple groups

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