Elliptic Weight Functions and Elliptic q-KZ Equation

2017/06/23 by Hitoshi Konno, Konno, Hitoshi · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.1706.07630

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.

Citations

• Lectures on K-theoretic computations in enumerative geometry

Cited by

• 3d Mirror Symmetry and Elliptic Stable Envelopes
• Elliptic stable envelope for Hilbert scheme of points in the plane

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• Elliptic Quantum Groups
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• Elliptic Quantum Groups U_q,p(gl_N) and E_q,p(gl_N)