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Hilbert space representations of cross product algebras II
Konrad Schmuedgen, Elmar Wagner
In this paper, we study and classify Hilbert space representations of cross product *-algebras of the quantized enveloping algebra with the coordinate algebras $O(E_q(2)…
Operator representations of cross product algebras of Podles' quantum spheres
Konrad Schmuedgen, Elmar Wagner
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 re…
Hilbert Space Representations of Cross Product Algebras
Konrad Schmuedgen, Elmar Wagner
Hilbert space representations of cross product *-algebras of the Hopf *-algebras U_q(gl_2) with the coordinate algebras O(C^2_q) and O(R^3_q) of quantum vector spaces and U_q(su_2)…
On Coquasitriangular Bialgebras
Konrad Schmuedgen
The paper deals with three topics on coquasitriangular bialgebras. A characterization of universal r-forms in terms of Yetter-Drinfeld modules is given. All universal r-forms for t…