Abstract
Resent investigations on the quantum group symmetry of the Bloch electron in a magnetic field of rational flux by Wiegmann and Zabrodin and Faddeev and Kashaev lead to generalised Bethe-ansatz like equations on high genus algebraic curves. We investigate another manifestation of this symmetry directly at the quantum algebra level, where the Cartesian SU q (2) algebra for values of q, roots of unity, appears on the light cone frame of the Lattice. The Askey-Wilson polynomials and the finite quantum mechanics formalism are shown to be important elements of the problem.
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