2 00 2 Operator representations of cross product algebras of Podles ’ quantum spheres
نویسنده
چکیده
Operator representations of the cross product ∗-algebra O(S2 qc)⋊Uq(su2) of the Hopf ∗-algebra Uq(su2) and its module ∗-algebras O(S2 qc) of Podles’ spheres are studied. Two classes of representations are described by explicit formulas for the actions of the generators.
منابع مشابه
ar X iv : m at h / 03 05 30 9 v 1 [ m at h . Q A ] 2 2 M ay 2 00 3 Representations of cross product algebras of Podles ’ quantum spheres
Hilbert space representations of the cross product ∗-algebras of the Hopf ∗-algebra Uq(su2) and its module ∗-algebras O(Sqr) of Podles’ spheres are investigated and classified by describing the action of generators. The representations are analyzed within two approaches. It is shown that the Hopf ∗-algebra O(SUq(2)) of the quantum group SUq(2) decomposes into an orthogonal sum of projective Hop...
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