Quantum integrability of quadratic Killing tensors | Journal of Mathematical Physics | AIP
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Let M be either a projective manifold (M, Π) or a pseudo-Riemannian manifold (M, g). We
extend, intrinsically, the projective/conformal Schwarzian derivatives we have introduced …

We extend projectively equivariant quantization and symbol calculus to symbols of pseudo-
differential operators. An explicit expression in terms of hypergeometric functions with …

The existence of a natural and projectively invariant quantization in the sense of P. Lecomte
[Progr. Theoret. Phys. Suppl.(2001), no. 144, 125-132] was proved by M. Bordemann [math …

The concept of conformally equivariant quantization was introduced by C. Duval, P. Lecomte
and V. Ovsienko for manifolds endowed with flat conformal structures. They obtained results …

We investigate the concept of projectively equivariant quantization in the framework of super
projective geometry. When the projective superalgebra pgl (p+ 1| q) is simple, our result is …

The existence of a natural and projectively equivariant quantization in the sense of Lecomte
20 was proved recently by M. Bordemann 4, using the framework of Thomas–Whitehead …

We study the existence of natural and projectively equivariant quantizations for differential
operators acting between order 1 vector bundles over a smooth manifold M. To that aim, we …

P. Lecomte has proposed to take into account the covariant derivatives used to build
ordering prescriptions for the naturality of transformation properties and has conjectured that …

A quantization can be seen as a way to construct a differential operator with prescribed
principal symbol. The map from the space of symbols to the space of differential operators is …