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Trace Construction of a Basis for the Solution Space of sl_N qKZ Equation

Quantum Algebra 2016-09-07 v1

Abstract

The trace of intertwining operators over the level one irreducible highest weight modules of the quantum affine algebra of type A_{N-1} is studied. It is proved that the trace function gives a basis of the solution space of the qKZ equation at a generic level. The highest-highest matrix element of the composition of intertwining operators is explicitly calculated. The integral formula for the trace is presented.

Keywords

Cite

@article{arxiv.math/9902139,
  title  = {Trace Construction of a Basis for the Solution Space of sl_N qKZ Equation},
  author = {Atsushi Nakayashiki},
  journal= {arXiv preprint arXiv:math/9902139},
  year   = {2016}
}

Comments

32 pages, Latex