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A (p, q)-oscillator realization of two-parameter quantum algebras

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, , Citation R Chakrabarti and R Jagannathan 1991 J. Phys. A: Math. Gen. 24 L711 DOI 10.1088/0305-4470/24/13/002

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1 Dept. of Theor. Phys., Madras Univ., India

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0305-4470/24/13/L711

Abstract

It is noted that the study of a quantum algebra sup,q(2), with two independent deformation parameters (p, q), leads to a '(p, q)-oscillator' realization for it. The analysis is extended to the (p, q)-analogues of su(1, 1), osp(2/1) and the centreless Virasoro algebra. The standard single-parameter (q) deformations are obtained in the limit p=q.

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10.1088/0305-4470/24/13/002