Sklyanin invariant integration
Quantum Algebra
2007-05-23 v1 Classical Analysis and ODEs
Abstract
The Sklyanin algebra admits realizations by difference operators acting on theta functions. Sklyanin found an invariant metric for the action and conjectured an explicit formula for the corresponding reproducing kernel. We prove this conjecture, and also give natural biorthogonal and orthogonal bases for the representation space. Moreover, we discuss connections with elliptic hypergeometric series and integrals and with elliptic 6j-symbols.
Cite
@article{arxiv.math/0405072,
title = {Sklyanin invariant integration},
author = {Hjalmar Rosengren},
journal= {arXiv preprint arXiv:math/0405072},
year = {2007}
}
Comments
21 pages