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Diagonal reduction algebra and the reflection equation

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Abstract

We describe the diagonal reduction algebra D(gl n ) of the Lie algebra gl n in the R-matrix formalism. As a byproduct we present two families of central elements and the braided bialgebra structure of D(gl n ).

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Authors and Affiliations

  1. ITEP, B.Cheremushkinskaya 25, Moscow, 117218, Russia

    S. Khoroshkin

  2. National Research University Higher School of Economics, Myasnitskaya 20, Moscow, 101000, Russia

    S. Khoroshkin

  3. Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France

    O. Ogievetsky

  4. Kazan Federal University, Kremlevskaya 17, Kazan, 420008, Russia

    O. Ogievetsky

Authors
  1. S. Khoroshkin
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  2. O. Ogievetsky
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Correspondence to S. Khoroshkin.

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On leave of absence from P. N. Lebedev Physical Institute, Leninsky Pr. 53, 117924 Moscow, Russia.

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Khoroshkin, S., Ogievetsky, O. Diagonal reduction algebra and the reflection equation. Isr. J. Math. 221, 705–729 (2017). https://doi.org/10.1007/s11856-017-1571-2

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  • DOI: https://doi.org/10.1007/s11856-017-1571-2

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