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Yangian Realisations from Finite ?-Algebras

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Abstract:

We construct an algebra homomorphism between the Yangian Y(sl(n)) and the finite ?-algebras ?(sl(np),n.sl(p)) for any p. We show how this result can be applied to determine properties of the finite dimensional representations of such ?-algebras.

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Authors and Affiliations

  1. Theory Division, CERN, CH-1211 Genève 23, Switzerland. E-mail: ragoucy@lapp.in2p3.fr, , , , , , CH

    E. Ragoucy

  2. Laboratoire de Physique Théorique LAPTH, LAPP, BP 110, F-74941 Annecy-le-Vieux Cedex, France. E-mail: sorba@lapp.in2p3.fr, , , , , , FR

    P. Sorba

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  1. E. Ragoucy
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  2. P. Sorba
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Received: 1 April 1998 / Accepted: 28 November 1998

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Ragoucy, E., Sorba, P. Yangian Realisations from Finite ?-Algebras. Comm Math Phys 203, 551–572 (1999). https://doi.org/10.1007/s002200050034

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  • DOI: https://doi.org/10.1007/s002200050034

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