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arXiv · 1402.5505

A character relationship on $GL_n$

Abstract

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

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BibTeXRIS

Dipendra Prasad. 2014-02-22. A character relationship on $GL_n$. https://arxiv.org/abs/1402.5505

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