CHARACTER DEGREE SUMS AND REAL REPRESENTATIONS OF FINITE CLASSICAL GROUPS OF ODD CHARACTERISTIC

DOI10.1142/S0219498810004166zbMath1216.20036arXiv0908.2398OpenAlexW2120775210MaRDI QIDQ4932800

C. Ryan Vinroot

Publication date: 7 October 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2398

zbMATH Keywords

symplectic groupsorthogonal groupsbinomial coefficientsfinite classical groupsFrobenius-Schur indicatorscharacter degree sumsreal representations

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 (3)

ON INVOLUTIONS AND INDICATORS OF FINITE ORTHOGONAL GROUPS ⋮ Asymptotics of the number of involutions in finite classical groups ⋮ A semi-recursion for the number of involutions in special orthogonal groups over finite fields

Cites Work

• On the characteristic map of finite unitary groups.
• Real representations of the finite orthogonal and symplectic groups of odd characteristic
• Commutators in the symplectic group
• The characters of Weil representations associated to finite fields
• Representations of finite classical groups. A Hopf algebra approach
• A twisted version of the Frobenius-Schur indicator and multiplicity-free permutation representations
• On the Schur indices of GL(n,q) and SL(2n+1,q)
• On the self-dual representations of finite groups of Lie type
• The Schur indices of the cuspidal unipotent characters of the finite unitary groups
• Multiplicity free representations of finite groups
• Twisted Frobenius-Schur indicators of finite symplectic groups.
• Lectures on Chevalley Groups
• A note on orthogonal similitude groups
• A Factorization inGSp(V)
• On the conjugacy classes in the unitary, symplectic and orthogonal groups

This page was built for publication: CHARACTER DEGREE SUMS AND REAL REPRESENTATIONS OF FINITE CLASSICAL GROUPS OF ODD CHARACTERISTIC