English

A character relationship on $GL_n$

Representation Theory 2014-02-25 v1

Abstract

In this paper we consider the character of a finite dimensional algebraic representation of GLmn(C)GL_{mn}({\mathbb C}) restricted to a particular disconnected component of the normalizer of the Levi subgroup GLm(C)nGL_m({\mathbb C})^n of GLmn(C)GL_{mn}(\mathbb C), generalizing a theorem of Kostant on the character values at the Coxeter element.

Keywords

Cite

@article{arxiv.1402.5505,
  title  = {A character relationship on $GL_n$},
  author = {Dipendra Prasad},
  journal= {arXiv preprint arXiv:1402.5505},
  year   = {2014}
}
R2 v1 2026-06-22T03:13:38.198Z