Operator representations of cross product algebras of Podles' quantum spheres

Details Operator representations of cross product algebras of Podles' quantum spheres Operator representations of cross product algebras of Podles' quantum spheres

2002-12-20

arxiv.org/abs/math/0212292v1

Mathematics

Quantum Algebra

15 pages

Scientific paper

Hilbert space representations of the cross product *-algebra of the Hopf
*-algebra U_q(su_2) and its module *-algebras O(S^2_{qc}) of Podles' spheres
are studied. Two classes of representations are described by explicit formulas
for the actions of the generators.

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