An R-matrix approach to the quantization of the Euclidean group E(2)
A Ballesteros; E Celeghini; R Giachetti; E Sorace; M Tarlini; A Ballesteros; Dipt. di Fis., Firenze Univ., Italy; E Celeghini; Dipt. di Fis., Firenze Univ., Italy; R Giachetti; Dipt. di Fis., Firenze Univ., Italy; E Sorace; Dipt. di Fis., Firenze Univ., Italy; M Tarlini; Dipt. di Fis., Firenze Univ., Italy
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1993-12-21
Аннотация:
The R-matrices for two different deformations of the Euclidean group E(2), calculated in a two-dimensional representation, are used to determine the deformed Hopf algebra of the representative functions. The duality of the latter with the initial quantum algebras is explicitly proved and the relationship between the two quantum groups is discussed and clarified.
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