Extending real-valued characters of finite general linear and unitary groups on elements related to regular unipotents

DOI10.1515/JGT.2008.017zbMath1149.20036arXiv0704.2022OpenAlexW2964007318MaRDI QIDQ3519058

C. Ryan Vinroot, Roderick Gow

Publication date: 13 August 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2022

zbMATH Keywords

finite general linear groupsreal conjugacy classesregular unipotent elementsfinite unitary groupsreal-valued characters

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (5)

Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements ⋮ On orders of elements of finite almost simple groups with linear or unitary socle ⋮ On the maximum orders of elements of finite almost simple groups and primitive permutation groups ⋮ Semisimple symplectic characters of finite unitary groups. ⋮ Generating functions for real character degree sums of finite general linear and unitary groups

Cites Work

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• Fourier transforms of nilpotently supported invariant functions on a finite simple Lie algebra
• Two remarks on irreducible characters of finite general linear groups
• Representations of reductive groups over finite fields
• The characters of the finite unitary groups
• A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups
• The decomposition of the permutation character \(1^{\text{GL}(2n,q)}_{\text{GL}(n,q^2)}\)
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• The duality operation in the character ring of a finite Chevalley group
• ON THE DEGREES OF CERTAIN GROUP CHARACTERS
• Descente de Shintani et Restriction des Scalaires
• On the conjugacy classes in the unitary, symplectic and orthogonal groups

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