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arXiv · 0712.1780

Conformal symbols and the action of contact vector fields over the superline

Charles H. Conley
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Abstract

Let K be the Lie superalgebra of contact vector fields on the supersymmetric line. We compute the action of K on the modules of differential and pseudodifferential operators between spaces of tensor densities, in terms of their conformal symbols. As applications we deduce the geometric subsymbols, 1-cohomology, and various uniserial subquotients of these modules. We also outline the computation of the K-equivalences and symmetries of their subquotients.

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BibTeXRIS

Charles H. Conley. 2007-12-11. Conformal symbols and the action of contact vector fields over the superline. https://doi.org/10.1515/crelle.2009.062

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