Eigenvalues and eigenstates of the s ell_q(2)-invariant Universal R-operator defined for cyclic representations at roots of unity
Mathematical Physics
2007-05-23 v3 math.MP
Quantum Algebra
Abstract
The s ell_q(2) representations are realized in the space of polynomials for general and exceptional values of deformation parameter q and on finite set of theta-functions for cyclic representation corresponding to q^N = +/- 1, which are a natural extension of the polynomials. The complete set of eigenstates of the Universal R-matrix are constructed and corresponding eigenvalues are calculated.
Keywords
Cite
@article{arxiv.math-ph/0208017,
title = {Eigenvalues and eigenstates of the s ell_q(2)-invariant Universal R-operator defined for cyclic representations at roots of unity},
author = {D. Karakhanyan},
journal= {arXiv preprint arXiv:math-ph/0208017},
year = {2007}
}
Comments
32 pages, LaTeX, no figures