Construction of raising and lowering operators for Uq(sl(2,R))

Details Construction of raising and lowering operators for Uq(sl(2,R)) Construction of raising and lowering operators for Uq(sl(2,R))

2001-12-17

arxiv.org/abs/math/0112171v1

Mathematics

Quantum Algebra

to appear in the Proceedings of the conference "Quantum Theory and Symmetries (QTS2)", Krakow 2001, World Scientific

Scientific paper

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.

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