Polynomial deformations of osp(1/2) and generalized parabosons

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Polynomial deformations of osp(1/2) and generalized parabosons

We consider the algebra R generated by three elements A,B,H subject to three relations [H,A] = A, [H,B] = −B and {A,B} = f(H). When f(H) = H this coincides with the Lie superalgebra osp(1/2); when f is a polynomial we speak of polynomial deformations of osp(1/2). Irreducible representations of R are described, and in the case deg(f) ≤ 2 we obtain a complete classification, showing some similari...

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ژورنال

عنوان ژورنال: Journal of Mathematical Physics

سال: 1995

ISSN: 0022-2488,1089-7658

DOI: 10.1063/1.530904