Weyl group extension of quantized current algebras

Details Weyl group extension of quantized current algebras Weyl group extension of quantized current algebras

1998-04-29

arxiv.org/abs/math/9804139v1

Mathematics

Quantum Algebra

LaTeX, 23pp

Scientific paper

In this paper, we extend the Drinfeld current realization of quantum affine algebras $U_q(\hat {\gg})$ and of the Yangians in several directions: we construct current operators for non-simple roots of ${\gg}$, define a new braid group action in terms of the current operators and describe the universal R-matrix for the corresponding ``Drinfeld'' comultiplication in the form of infinite product and in the form of certain integrals over current operators.

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