Construction of raising and lowering operators for Uq(sl(2,R))
arXiv:math/0112171 · doi:10.1142/9789812777850_0077
Abstract
In the case of Uq(sl(2,R)) at root of unity q-deformed analogues are proposed for the generator of the maximal compact subalgebra, J, and for the raising and lowering operators. We prove an algebraic identity which implies that J has similar properties as in the nondeformed case.
to appear in the Proceedings of the conference "Quantum Theory and Symmetries (QTS2)", Krakow 2001, World Scientific