English

On quantum shuffle and quantum affine algebras

Quantum Algebra 2007-05-23 v1

Abstract

A construction of the quantum affine algebra Uq(g)U_q(g) is given in two steps. We explain how to obtain the algebra from its positive Borel subalgebra Uq(b+)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.

Keywords

Cite

@article{arxiv.math/0107176,
  title  = {On quantum shuffle and quantum affine algebras},
  author = {Pascal Grosse},
  journal= {arXiv preprint arXiv:math/0107176},
  year   = {2007}
}