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

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

1999-02-24

arxiv.org/abs/math/9902139v1

Mathematics

Quantum Algebra

32 pages, Latex

Scientific paper

10.1007/s002200000194

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.

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