You currently have no access to view or download this content. Please log in with your institutional or personal account if you should have access to this content through either of these.
Showing a limited preview of this publication:
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 pseudo-differential 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.
Received: 2007-12-10
Revised: 2008-03-23
Published Online: 2009-06-16
Published in Print: 2009-August
© Walter de Gruyter Berlin · New York 2009