230 citations · 2.6k across the 114 of their papers we have counts for
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Quantum Anti-de Sitter space and sphere at roots of unity
Harold Steinacker
An algebra of functions on q-deformed Anti-de Sitter space AdS_q^D is defined which is covariant under U_q(so(2,D-1)), for q a root of unity. The star-structure is studied in detai…
Propagator on the h-deformed Lobachevsky plane
John Madore, Harold Steinacker
The action of the isometry algebra U_h(sl(2)) on the h-deformed Lobachevsky plane is found. The invariant distance and the invariant 2-point functions are shown to agree precisely…
Unitary Representations of Noncompact Quantum Groups at Roots of Unity
Harold Steinacker
Noncompact forms of the Drinfeld-Jimbo quantum groups U_q(g) with (H_i)* = H_i, (X_i^{+-})* = s_i X_i^{-+} for s_i= +-1 are studied at roots of unity. This covers g = so(n,2p), su(…
Finite Field Theory on Noncommutative Geometries
S. Cho, R. Hinterding, J. Madore +1
The propagator is calculated on a noncommutative version of the flat plane and the Lobachevsky plane with and without an extra (euclidean) time parameter. In agreement with the gen…