Quommutator deformations of osp(2,2)

1996/12/12 by Brihaye, Yves
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.q-alg/9612017

Abstract

We analyse the Witten-Woronowicz's type deformations of the Lie superalgebra osp(2,2) and obtain a deformation parametrized by three independent parameters. For some of these algebras, finite dimensional representations are formulated in terms of a finite difference operator, providing operators that are relevant for the classification of quasi exactly solvable, finite difference equations. Similar representations are also pointed out for the Lie superalgebra osp(1,2).

Related

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• Projectivised representations of U_q osp(2,2)
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• On the relations between osp(2,2) and the quasi exactly solvable systems