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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 3, Pages 374–381
DOI: https://doi.org/10.4213/tmf162 (Mi tmf162) 		 
Representations of the Quantum Group $SL_q(2)$ in a Space of Functions

D. R. Karakhanyan

Yerevan Physics Institute
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DOI: https://doi.org/10.4213/tmf162
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
English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 3, Pages 326–332
DOI: https://doi.org/10.1023/A:1022693220509
Bibliographic databases:
Language: Russian
Citation: D. R. Karakhanyan, “Representations of the Quantum Group $SL_q(2)$ in a Space of Functions”, TMF, 134:3 (2003), 374–381; Theoret. and Math. Phys., 134:3 (2003), 326–332
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\vol 134
\issue 3
\pages 326--332
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