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Twist deformation of the rank-one Lie superalgebra

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Published under licence by IOP Publishing Ltd
, , Citation E Celeghini and P P Kulish 1998 J. Phys. A: Math. Gen. 31 L79 DOI 10.1088/0305-4470/31/4/001

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Author affiliations

1 Dipartimento di Fisica del'Università and INFN, Firenze, L.go Fermi 2 - I50125 Firenze, Italy

2 Institute for Scientific Interchange Foundation, Villa Gualino, 10133 Torino, Italy

Dates

  1. Received 5 December 1997

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0305-4470/31/4/L79

Abstract

The Drinfeld twist is applied to deform the rank-one orthosymplectic Lie superalgebra . The twist element is the same as for the sl(2) Lie algebra due to the embedding of the sl(2) into the superalgebra . The R-matrix has the direct sum structure in the irreducible representations of . The dual quantum group is defined using the FRT-formalism. It includes the Jordanian quantum group as subalgebra and Grassmann generators as well.

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