Construction of R-matrices for symmetric tensor representations related to Uq (sln )

Gary Bosnjak, Vladimir V. Mangazeev

    Research output: Contribution to journalArticlepeer-review

    22 Citations (Scopus)

    Abstract

    In this paper we construct a new factorized representation of the R-matrix related to the affine algebra for symmetric tensor representations with arbitrary weights. Using the 3D approach we obtain explicit formulas for the matrix elements of the R-matrix and give a simple proof that a 'twisted' R-matrix is stochastic. We also discuss symmetries of the R-matrix, its degenerations and compare our formulas with other results available in the literature.

    Original languageEnglish
    Article number495204
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume49
    Issue number49
    DOIs
    Publication statusPublished - 21 Nov 2016

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