ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
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 similarities but also some interesting differences with the usual osp(1/2) representations. The relation with deformed oscillator algebras is discussed, leading to the interpretation of R as a generalized paraboson algebra. © 1995 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.530904
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