Representations of the Quantum Group $SL_q(2)$ in a Space of Functions

D. R. Karakhanyan

Yerevan Physics Institute

Abstract: We construct representations of the quantum group $SL_q(2)$ in a functional space. We consider the cases of general and exceptional values of the deformation parameter $q$.

Keywords: quantum deformation, cyclic representation, Casimir operators.

Received: 29.11.2001
Revised: 02.04.2002

DOI: 10.4213/tmf162

 English version: Theoretical and Mathematical Physics, 2003, 134:3, 326–332

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