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q-Wedge Modules for Quantized Enveloping Algebras of Classical Type

✍ Scribed by Naihuan Jing; Kailash C. Misra; Masato Okado

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 158 KB
Volume: 230
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8325

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✦ Synopsis

We use the fusion construction in twisted quantum affine algebras to obtain a unified method to deform the wedge product for classical Lie algebras. As a by-product we uniformly realize all non-spin fundamental modules for quantized enveloping algebras of classical types, and show that they admit natural crystal Ž . bases as modules for the derived twisted quantum affine algebra. These crystal bases are parametrized in terms of the q-wedge products.

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