Integral Presentations for the Universal R-matrix
Quantum Algebra
2007-05-23 v1
Abstract
We present an integral formula for the universal R-matrix of quantum affine algebra with 'Drinfeld comultiplication'. We show that the properties of the universal R-matrix follow from the factorization properties of the cycles in proper configuration spaces. For general g we conjecture that such cycles exist and unique. For describe precisely the cycles and present a new simple expression for the universal R-matrix as a result of calculation of corresponding integrals.
Cite
@article{arxiv.math/0008226,
title = {Integral Presentations for the Universal R-matrix},
author = {J. Ding and S. Khoroshkin and S. Pakuliak},
journal= {arXiv preprint arXiv:math/0008226},
year = {2007}
}
Comments
19 pages, LaTeX 2.09 using amssym.def and amssym.tex