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Difference Equations Compatible with Trigonometric KZ Differential Equations

2000/02/16 by V. Tarasov, Tarasov, V., A. Varchenko +1
Mathematics · #17B10 #39A05 #81R05 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:17B10 #msc:39A05 #msc:81R05

paper · pdf · doi:10.48550/arxiv.math/0002132

23 pages, AmsTeX, third version, some misprints were corrected

arxiv created 2000/04/24 · arxiv updated 2009/11/30

Abstract

The trigonometric KZ equations associated with a Lie algebra \g depend on a parameter λ∈\h where \h⊂\g is the Cartan subalgebra. We suggest a system of dynamical difference equations with respect to λ compatible with the KZ equations. The dynamical equations are constructed in terms of intertwining operators of \g-modules.

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