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Iterative Construction of U q (s ℓ(n+1)) Representations and Lax Matrix Factorisation

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Abstract

The iterative construction of a generic representation of gℓ(n + 1) or of the trigonomentric deformation of its enveloping algebra is conveniently formulated in terms of Lax matrices. The Lax matrix of the constructed representation factorises into parts determined by the Lax matrix of a generic representation of the algebra with reduced rank and others appearing in the factorised expression of the Lax matrix of the special Jordan–Schwinger representation.

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Authors and Affiliations

  1. St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, Fontanka 27, 191023, St Petersburg, Russia

    S. E. Derkachov

  2. Yerevan Physics Institute, Br. Alikhanian St. 2, 375036, Yerevan, Armenia

    D. R. Karakhanyan

  3. Institut für Theoretische Physik, Universität Leipzig, PF 100 920, 04009, Leipzig, Germany

    R. Kirschner

  4. St. Petersburg State University, 198504, St. Petersburg, Russia

    P. Valinevich

Authors
  1. S. E. Derkachov
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  2. D. R. Karakhanyan
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  3. R. Kirschner
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  4. P. Valinevich
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Correspondence to S. E. Derkachov.

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Derkachov, S.E., Karakhanyan, D.R., Kirschner, R. et al. Iterative Construction of U q (s ℓ(n+1)) Representations and Lax Matrix Factorisation. Lett Math Phys 85, 221–234 (2008). https://doi.org/10.1007/s11005-008-0268-1

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  • DOI: https://doi.org/10.1007/s11005-008-0268-1

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