Article ID Journal Published Year Pages File Type
4588443 Journal of Algebra 2007 25 Pages PDF
Abstract

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

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory