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Yangians and Gelfand-Zetlin bases

High Energy Physics - Theory 2008-02-03 v1 Quantum Algebra

Abstract

We establish a relationship between the modern theory of Yangians and the classical construction of the Gelfand-Zetlin bases for the complex Lie algebra \gn\gn. Our approach allows us to produce the qq-analogues of the Gelfand-Zetlin formulae in a straightforward way.

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Cite

@article{arxiv.hep-th/9302102,
  title  = {Yangians and Gelfand-Zetlin bases},
  author = {M. Nazarov and Vitaly Tarasov},
  journal= {arXiv preprint arXiv:hep-th/9302102},
  year   = {2008}
}

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14 pages