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arXiv · 0904.3278

Equivariant quantizations for AHS--structures

Andreas Cap·Josef Silhan
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Abstract

We construct an explicit scheme to associate to any potential symbol an operator acting between sections of natural bundles (associated to irreducible representations) for a so-called AHS-structure. Outside of a finite set of critical (or resonant) weights, this procedure gives rise to a quantization, which is intrinsic to this geometric structure. In particular, this provides projectively and conformally equivariant quantizations for arbitrary symbols on general (curved) projective and conformal structures.

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BibTeXRIS

Andreas Cap, Josef Silhan. 2009-04-21. Equivariant quantizations for AHS--structures. https://doi.org/10.1016/j.aim.2010.01.016

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