C Delbecq and C Quesne 1993 J. Phys. A: Math. Gen. 26 L127 doi:10.1088/0305-4470/26/4/001
C Delbecq and C Quesne
Show affiliationsNonlinear deformations of su(2) and su(1,1) involving two deforming functions f(J0) and g(J0) are considered. For g(J0)=1, they reduce to some algebras first studied by Polychronakos (1990) and Rocek (1991). Spatial emphasis is laid on the case where g(J0) is a linear function of J0. It is shown that for any lambda =2,3,. . ., there exist ( lambda -1)-parameter algebras that are deformations of su(2) or su(1,1) respectively, and for which f(J0) is a polynomial of degree lambda . For lambda =2, such algebras are equivalent to Witten's (1990) first deformation of su(2) or su(1,1). For any lambda , the spectrum of J0 is exponential instead of linear as in the case where g(J0)=1.
Issue 4 (21 February 1993)
C Delbecq and C Quesne 1993 J. Phys. A: Math. Gen. 26 L127
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