Projectively Equivariant Quantization and Symbol calculus in dimension 1|2
Mathematical Physics
2011-06-29 v1 Differential Geometry
math.MP
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.
Cite
@article{arxiv.1106.5246,
title = {Projectively Equivariant Quantization and Symbol calculus in dimension 1|2},
author = {Najla Mellouli},
journal= {arXiv preprint arXiv:1106.5246},
year = {2011}
}
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