Second-order conformally equivariant quantization in dimension .

Mellouli, Najla

Displaying similar documents to “Second-order conformally equivariant quantization in dimension $1 | 2$ .”

Conformally equivariant quantization : existence and uniqueness

Christian Duval, Pierre Lecomte, Valentin Ovsienko (1999)

Annales de l'institut Fourier

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We prove the existence and the uniqueness of a conformally equivariant symbol calculus and quantization on any conformally flat pseudo-riemannian manifold $(M, g)$ . In other words, we establish a canonical isomorphism between the spaces of polynomials on $T^{*} M$ and of differential operators on tensor densities over $M$ , both viewed as modules over the Lie algebra $o (p + 1, q + 1)$ where $p + q = dim (M)$ . This quantization exists for generic values of the weights of the tensor densities and we compute the critical values of the...

Differential operators on equivariant vector bundles over symmetric spaces.

Deitmar, Anton (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Yamabe operator via BGG sequences

Vít Tuček (2012)

Archivum Mathematicum

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We show that the conformally invariant Yamabe operator on a complex conformal manifold can be constructed as a first BGG operator by inducing from certain infinite-dimensional representation.

$K$ -theory of weight varieties.

Leung, Ho-Hon (2011)

The New York Journal of Mathematics [electronic only]

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The PBW filtration, Demazure modules and toroidal current algebras.

Feigin, Evgeny (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Cohomology of groups with operators.

Cegarra, A.M., García-Calcines , J.M., Ortega, J.A. (2002)

Homology, Homotopy and Applications

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On Martin Bordemann's proof of the existence of projectively equivariant quantizations

Pierre Lecomte (2004)

Open Mathematics

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The paper explains the notion of projectively equivariant quantization. It gives a sketch of Martin Bordemann's proof of the existence of projectively equivariant quantization on arbitrary manifolds.

The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties

J. Weyman (1998)

Colloquium Mathematicae

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Displaying similar documents to “Second-order conformally equivariant quantization in dimension 1 | 2 .”

Displaying similar documents to “Second-order conformally equivariant quantization in dimension $1 | 2$ .”