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VOL. 28 | 2000 Representations of Degenerate Affine Hecke Algebra and $\mathfrak{g}\mathfrak{l}_{n}$
Takeshi Suzuki

Editor(s) Kazuhiko Koike, Masaki Kashiwara, Soichi Okada, Itaru Terada, Hiro-Fumi Yamada

Abstract

We study the representation theory of the degenerate affine Hecke algebra $H_\ell$ of $GL_\ell$ using functors that connect the representation theory of $H_\ell$ and that of the Lie algebra $\mathfrak{gl}_n$. In particular, a new algebraic approach to the classification theorem of simple $H_\ell$-modules is given.

Information

Published: 1 January 2000
First available in Project Euclid: 20 August 2018

MathSciNet: MR1864488

Digital Object Identifier: 10.2969/aspm/02810343

Rights: Copyright © 2000 Mathematical Society of Japan

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