Elliptic Weight Functions and Elliptic q-KZ Equation
Quantum Algebra
2017-10-31 v3 High Energy Physics - Theory
Algebraic Geometry
Representation Theory
Abstract
By using representation theory of the elliptic quantum group U_{q,p}(sl_N^), we present a systematic method of deriving the weight functions. The resultant sl_N type elliptic weight functions are new and give elliptic and dynamical analogues of those obtained in the trigonometric case. We then discuss some basic properties of the elliptic weight functions. We also present an explicit formula for formal elliptic hypergeometric integral solution to the face type, i.e. dynamical, elliptic q-KZ equation.
Keywords
Cite
@article{arxiv.1706.07630,
title = {Elliptic Weight Functions and Elliptic q-KZ Equation},
author = {Hitoshi Konno},
journal= {arXiv preprint arXiv:1706.07630},
year = {2017}
}
Comments
44 pages, Proposition 5.4 corrected, typos fixed, to appear in Journal of Integrable Systems