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Title: Solutions of the sl2${\mathfrak {sl}_2}$ qKZ equations modulo an integer
Abstract

We study theqKZdifference equations with values in the th tensor power of the vector representation , variables , and integer step . For any integer relatively prime to the step , we construct a family of polynomials in variables with values in such that the coordinates of these polynomials with respect to the standard basis of are polynomials with integer coefficients. We show that satisfy theqKZequations modulo . Polynomials are modulo analogs of the hypergeometric solutions of theqKZgiven in the form of multidimensional Barnes integrals.

 
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PAR ID:
10499645
Author(s) / Creator(s):
 ;  
Publisher / Repository:
Oxford University Press (OUP)
Date Published:
Journal Name:
Journal of the London Mathematical Society
Volume:
109
Issue:
4
ISSN:
0024-6107
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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