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math.QAOct 13, 2006
17
citations (OpenAlex)
authors
  • Sergey Khoroshkin
  • Stanislav Pakuliak
institutions
  • Institute for Theoretical and Experimental Physics
  • Joint Institute for Nuclear Research
  • Max Planck Institute for Mathematics
arXiv abstractPDF
paper

Weight function for the quantum affine algebra Uq​(sl^3​)

arXiv:math/0610433 · doi:10.1007/s11232-005-0167-x

Abstract

We give a precise expression for the universal weight function of the quantum affine algebra Uq​(sl^3​). The calculations use the technique of projecting products of Drinfeld currents on the intersections of Borel subalgebras.

28 pages

References in corpus (1)

  • Combinatorial Formulae for Nested Bethe Vectors

Cited by in corpus (12)

  • Nested Bethe ansatz for "all" closed spin chains
  • New Construction of Eigenstates and Separation of Variables for SU(N) Quantum Spin Chains
  • Bethe vectors of GL(3)-invariant integrable models
  • SOS model partition function and the elliptic weight functions
  • On Bethe vectors in gl3​-invariant integrable models
  • Nested Bethe ansatz for `all' open spin chains with diagonal boundary conditions
  • Bethe vectors of quantum integrable models based on Uq(gl(N))
  • New Compact Construction of Eigenstates for Supersymmetric Spin Chains
  • Multiple commutation relations in the models with gl(2|1) symmetry
  • Bethe vectors for orthogonal integrable models
  • New symmetries of gl(N)-invariant Bethe vectors
  • On the R-matrix realization of quantum loop algebras
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