On quantum shuffle and quantum affine algebras

[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.

[发布日期] 2007-12-15

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