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hal-00603186, version 1

Projectively Equivariant Quantization and Symbol calculus in dimension 1|2

Najla Mellouli () 1

(2011-06-23)

Abstract: The spaces of higher-order differential operators (in Dimension 1|2), which are modules over the stringy Lie superalgebra K(2), are isomorphic to the corresponding spaces of symbols as orthosymplectic modules in non resonant cases. Such an osp (2|2)-equivariant quantization, which has been given in second-order differential operators case, keeps existing and unique. We calculate its explicit formula that provides extension in particular order cases.

  • 1:  Institut Camille Jordan (ICJ)
  • CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon
  • Domain : Mathematics/Mathematical Physics
    Mathematics/Differential Geometry
    Mathematics/Quantum Algebra
    Mathematics/Representation Theory
    Physics/Mathematical Physics
  • Keywords : Equivariant quantization – conformal superalgebra
  • Comment : 9
 
  • hal-00603186, version 1
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  • From: Najla Mellouli <>
  • Submitted on: Saturday, 25 June 2011 20:23:01
  • Updated on: Sunday, 26 June 2011 20:48:43