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Singleton representations of \(U_ 2(so(3,2))\). (English) Zbl 0885.17013

Slovák, Jan (ed.), Proceedings of the 16th Winter School on geometry and physics, Srní, Czech Republic, January 13–20, 1996. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 46, 73-79 (1997).
The authors continue the study of the singleton representations of the \(q\)-deformed anti de Sitter algebra \(U_q(\text{so}(3,2))\), \(q\) not a root of unity. Orthonormal bases in the representation spaces and explicit formulae for the action of the generators of \(U_q(\text{so}(3,2))\) on these bases are given.
For the entire collection see [Zbl 0866.00050].

MSC:

17B37 Quantum groups (quantized enveloping algebras) and related deformations
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory