✦ LIBER ✦

On quantum shuffle and quantum affine algebras

✍ Scribed by P. Grossé

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 260 KB
Volume: 318
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(03)00307-7

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✦ Synopsis

A construction of the quantum affine algebra U q (ĝ) is given in two steps. We explain how to obtain the algebra from its positive Borel subalgebra U q (b + ), using a construction similar to Drinfeld's quantum double. Then we show how the positive Borel subalgebra can be constructed with quantum shuffles.

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