On quantum shuffle and quantum affine algebras

JOURNAL OF ALGEBRA

卷:318

Article

Grosse, P.

关键词: quantum affine algebras;    quantum shuffles;    Drinfeld's quantum double;    Kac-Moody algebras;   

DOI  :  10.1016/S0021-8693(03)00307-7

来源: Elsevier

【 摘 要 】

A construction of the quantum affine algebra U-q((g) over cap) 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. (c) 2002 Elsevier Inc. All rights reserved.

【 授权许可】

Free