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15 May 2001 Realization of level one representations of U q(g) at a root of unity
Vyjayanthi Chari, Naihuan Jing
Duke Math. J. 108(1): 183-197 (15 May 2001). DOI: 10.1215/S0012-7094-01-10816-8

Abstract

Using vertex operators, we construct explicitly Lusztig's ℤ[q,q−4]-lattice for the level one irreducible representations of quantum affine algebras of ADE type. We then realize the level one irreducible modules at roots of unity and show that the character is given by the Weyl-Kac character formula.

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Vyjayanthi Chari. Naihuan Jing. "Realization of level one representations of U q(g) at a root of unity." Duke Math. J. 108 (1) 183 - 197, 15 May 2001. https://doi.org/10.1215/S0012-7094-01-10816-8

Information

Published: 15 May 2001
First available in Project Euclid: 5 August 2004

zbMATH: 1024.17008
MathSciNet: MR1831824
Digital Object Identifier: 10.1215/S0012-7094-01-10816-8

Subjects:
Primary: 17B37
Secondary: 17B67

Rights: Copyright © 2001 Duke University Press

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Vol.108 • No. 1 • 15 May 2001
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