English

Quantum R-matrix and Intertwiners for the Kashiwara Algebra

High Energy Physics - Theory 2009-10-22 v1 Quantum Algebra

Abstract

We study the algebra Bq()B_q(\ge) presented by Kashiwara and introduce intertwiners similar to qq-vertex operators. We show that a matrix determined by 2-point functions of the intertwiners coincides with a quantum R-matrix (up to a diagonal matrix) and give the commutation relations of the intertwiners. We also introduce an analogue of the universal R-matrix for the Kashiwara algebra.

Cite

@article{arxiv.hep-th/9307130,
  title  = {Quantum R-matrix and Intertwiners for the Kashiwara Algebra},
  author = {Toshiki Nakashima},
  journal= {arXiv preprint arXiv:hep-th/9307130},
  year   = {2009}
}

Comments

21 pages

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