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15 March 2002 On level-zero representation of quantized affine algebras
Masaki Kashiwara
Duke Math. J. 112(1): 117-175 (15 March 2002). DOI: 10.1215/S0012-9074-02-11214-9

Abstract

We study the properties of level-zero modules over quantized affine algebras. The proof of the conjecture on the cyclicity of tensor products by T. Akasaka and the author is given. Several properties of modules generated by extremal vectors are proved. The weights of a module generated by an extremal vector are contained in the convex hull of the Weyl group orbit of the extremal weight. The universal extremal weight module with level-zero fundamental weight as an extremal weight is irreducible, and it is isomorphic to the affinization of an irreducible finite-dimensional module.

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Masaki Kashiwara. "On level-zero representation of quantized affine algebras." Duke Math. J. 112 (1) 117 - 175, 15 March 2002. https://doi.org/10.1215/S0012-9074-02-11214-9

Information

Published: 15 March 2002
First available in Project Euclid: 18 June 2004

zbMATH: 1033.17017
MathSciNet: MR1890649
Digital Object Identifier: 10.1215/S0012-9074-02-11214-9

Subjects:
Primary: 17B37

Rights: Copyright © 2002 Duke University Press

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Vol.112 • No. 1 • 15 March 2002
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