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Commutator Representations of Covariant Differential Calculi on Quantum Groups
Konrad Schmuedgen
Let (G,d) be a first order differential *-calculus on a *-algebra A. We say that a pair (π,F) of a *-representation πof A on a dense domain D of a Hilbert space and a symmetric ope…
Commutator Representations of Differential Calculi on the Quantum Group SU_q(2)
Konrad Schmuedgen
Let (Γ,d) be the 3D-calculus or the 4D_{\pm}-calculus on the quantum group SU_q(2). We describe all pairs (π, F) of a *-representation πof O(SU_q(2)) and of a symmetric operator F…
Operator Representations of a q-Deformed Heisenberg Algebra
Konrad Schmuedgen
A class of well-behaved *-representations of a q-deformed Heisenberg algebra is studied and classified.
On the Construction of Covariant Differential Calculi on Quantum Homogeneous Spaces
Konrad Schmuedgen
Let A be a coquasitriangular Hopf algebra and X the subalgebra of A generated by a row of a matrix corepresentation u or by a row of u and a row of the contragredient representatio…