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2015 Bilinear differential operators: Projectively equivariant symbol and quantization maps
Taher Bichr, Jamel Boujelben, Khaled Tounsi
Tohoku Math. J. (2) 67(4): 481-493 (2015). DOI: 10.2748/tmj/1450798067

Abstract

We study the space of bilinear differential operators on weighted densities as a module over $\mathrm{sl}(2,{\mathbb R})$. We introduce the corresponding space of symbols and we prove the existence and the uniqueness of canonical projective equivariant symbol and quantization maps.

Citation

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Taher Bichr. Jamel Boujelben. Khaled Tounsi. "Bilinear differential operators: Projectively equivariant symbol and quantization maps." Tohoku Math. J. (2) 67 (4) 481 - 493, 2015. https://doi.org/10.2748/tmj/1450798067

Information

Published: 2015
First available in Project Euclid: 22 December 2015

zbMATH: 1336.53097
MathSciNet: MR3436536
Digital Object Identifier: 10.2748/tmj/1450798067

Subjects:
Primary: 53D55

Keywords: Bilinear differential operators , densities , projective algebra , symbol map

Rights: Copyright © 2015 Tohoku University

Vol.67 • No. 4 • 2015
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