On quantum shuffle and quantum affine algebras

Details On quantum shuffle and quantum affine algebras On quantum shuffle and quantum affine algebras

2001-07-24

arxiv.org/abs/math/0107176v1

Mathematics

Quantum Algebra

Scientific paper

A construction of the quantum affine algebra $U_q(g)$ 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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