The density of representation degrees.

DOI10.4171/JEMS/339zbMath1270.20054OpenAlexW1973053978MaRDI QIDQ713956

Martin W. Liebeck, Aner Shalev, Daniel Segal

Publication date: 19 October 2012

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/339

zbMATH Keywords

arithmetic groupsvirtually Abelian groupsrepresentation degreesasymptotics of density functionscomplex simple algebraic groupsdimensions of irreducible complex representationsfinitely generated linear groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Asymptotic results on counting functions for algebraic and topological structures (11N45)

Related Items (1)

BOUNDING THE NUMBER OF IRREDUCIBLE CHARACTER DEGREES OF A FINITE GROUP IN TERMS OF THE LARGEST DEGREE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong approximation for Zariski-dense subgroups of semi-simple algebraic groups
• Remarks on injective specializations
• On the minimal degrees of projective representations of the finite Chevalley groups
• Subgroup growth.
• Representation growth of linear groups
• SMALLEST DEGREES OF REPRESENTATIONS OF EXCEPTIONAL GROUPS OF LIE TYPE
• Character Degrees and Derived Length of a Solvable Group
• On Abelian-By-Polycyclic Groups
• Character degrees and random walks in finite groups of Lie type
• Minimal characters of the finite classical groups
• The sparsity of dimensions of irreducible representations of finite simple groups
• THE DENSITY OF SUBGROUP INDICES
• Groups with Representations of Bounded Degree
• Introduction to Lie Algebras and Representation Theory
• A Remark on Finitely Generated Nilpotent Groups

This page was built for publication: The density of representation degrees.