The Weyl Algebra and the Structure of Lie Superalgebras of Riemannian Type

Details The Weyl Algebra and the Structure of Lie Superalgebras of Riemannian Type The Weyl Algebra and the Structure of Lie Superalgebras of Riemannian Type

2001-06-20

arxiv.org/abs/math/0106171v1

Mathematics

Representation Theory

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Scientific paper

A Lie superalgebrea of Riemannian type leads to a representation of a
quadratic Lie algebra into a Weyl algebra. A necessary and sufficient condition
that such a representation leads to a Lie superalgebra of Riemannian type is
that the Casimir maps to a constant.

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