On enveloping skew fields of some lie superalgebras

preprint2014arXivOpen access

Abstract

We determine the skew fields of fractions of the enveloping algebra of the Lie superalgebra osp(1, 2) and of some significant subsu-peralgebras of the Lie superalgebra osp(1, 4). We compare the kinds of skew fields arising from this "super" context with the Weyl skew fields in the classical Gelfand-Kirillov property.

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