English

Fourier Transforms of Nilpotent, Coadjoint Orbits for GL(n,R)

Representation Theory 2013-02-15 v1

Abstract

The main result of this paper is an explicit formula for the Fourier transform of the canonical measure on a nilpotent coadjoint orbit for GL(n,R). This paper also includes some results on limit formulas for reductive Lie groups including new proofs of classical limit formulas of Rao and Harish-Chandra.

Keywords

Cite

@article{arxiv.1209.4122,
  title  = {Fourier Transforms of Nilpotent, Coadjoint Orbits for GL(n,R)},
  author = {Benjamin Harris},
  journal= {arXiv preprint arXiv:1209.4122},
  year   = {2013}
}