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Hopf superalgebra contractions and R-matrix for fermions

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Published under licence by IOP Publishing Ltd
, , Citation E Celeghini et al 1991 J. Phys. A: Math. Gen. 24 5675 DOI 10.1088/0305-4470/24/24/006

0305-4470/24/24/5675

Abstract

Different contractions are applied to the quantum superalgebra ospq(1 mod 2). In the first of them the graded analogue s-Hq(1) of the one-dimensional Heisenberg quantum algebra is obtained and its R-matrix explicitly calculated. In the second contraction a Z2-graded version of the q-oscillator is proposed and finally the supersymmetric two-dimensional Euclidean quantum algebra s-Eq(2) is found.

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10.1088/0305-4470/24/24/006