5 citations · 7 across the 4 of their papers we have counts for
5 papers · 1 filter
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)…
Invariant integration theory on non-compact quantum spaces: Quantum (n,1)-matrix ball
Klaus-Detlef Kuersten, Elmar Wagner
An operator theoretic approach to invariant integration theory on non-compact quantum spaces is introduced on the example of the quantum (n,1)-matrix ball O_q(Mat_{n,1}). In order…
Examples of twisted cyclic cocycles from covariant differential calculi
Konrad Schmuedgen, Elmar Wagner
For two covariant differential *-calculi, the twisted cyclic cocycle associated with the volume form is represented in terms of commutators [F,ρ(x)] for some self-adjoint operator…
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)…