Lusztig induction, unipotent supports, and character bounds

DOI10.1090/tran/8188zbMath1482.20006arXiv1809.00173OpenAlexW3024810879MaRDI QIDQ5147434

Jay Taylor, Pham Hũ'u Tiêp

Publication date: 26 January 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00173

zbMATH Keywords

character bound

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30)

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Cites Work

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• Computational proof of the Mackey formula for \(q>2\).
• Representations of Hecke algebras at roots of unity.
• Intersection cohomology complexes on a reductive group
• Green functions and character sheaves
• Character sheaves. II
• On the character values of finite Chevalley groups at unipotent elements
• A unipotent support for irreducible representations
• Generating random elements in \(SL_ n(F_ q)\) by random transvections
• On the finiteness of the number of unipotent classes
• Equivariant sheaves and functors
• On the average values of the irreducible characters of finite groups of Lie type on geometric unipotent classes
• Some generalizations of the Weil representations of the symplectic and unitary groups
• Character bounds for finite groups of Lie type
• Cross characteristic representations of symplectic and unitary groups
• Character sheaves and almost characters of reductive groups. I, II
• On the computation of unipotent characters of finite classical groups
• Products of conjugacy classes in groups
• On the definition of almost characters
• Families and Springer's correspondence.
• GENERALIZED GELFAND–GRAEV REPRESENTATIONS IN SMALL CHARACTERISTICS
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Representations of Generic Algebras and Finite Groups of Lie Type
• Actions of relative Weyl groups I
• The Structure of Root Data and Smooth Regular Embeddings of Reductive Groups
• On the existence of a unipotent support for the irreducible characters of a finite group of Lie type
• Une conjecture de Lusztig pour les groupes classiques
• On the cleanness of cuspidal character sheaves
• Evaluating characteristic functions of character sheaves at unipotent elements
• Tensor Categories
• Twisted group algebras and their representations
• Finite Simple Groups: Thirty Years of the Atlas and Beyond
• Products of squares in finite simple groups