中文

Integral Presentations for the Universal R-matrix

量子代数 2007-05-23 v1

摘要

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 Uq(sl^2)U_q(\hat{sl}_2) describe precisely the cycles and present a new simple expression for the universal R-matrix as a result of calculation of corresponding integrals.

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引用

@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}
}

备注

19 pages, LaTeX 2.09 using amssym.def and amssym.tex