Radon Transforms and the Finite General Linear Groups

Authors

Michael E. Orrison, Harvey Mudd CollegeFollow

Document Type

Article - preprint

Department

Mathematics (HMC)

Publication Date

2004

Abstract

Using a class sum and a collection of related Radon transforms, we present a proof G. James’s Kernel Intersection Theorem for the complex unipotent representations of the finite general linear groups. The approachis analogous to that used by F. Scarabotti for a proof of James’s Kernel Intersection Theorem for the symmetric group. In the process, we also show that a single class sum may be used to distinguish between distinct irreducible unipotent representations.

Comments

Author's pre-print attached.

Citation is for published article.

Rights Information

©2004 Walter de Gruyter

Recommended Citation

Orrison, Michael E. "Radon Transforms and the Finite General Linear Groups." Forum Mathematicum 16.1 (2004): 97-107. Print.