References of "Radoux, Fabian"
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See detailHigher Symmetries of the conformal Laplacian
Radoux, Fabian ULg

Conference (2014, July 14)

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See detailHigher Symmetries of the conformal Laplacian
Radoux, Fabian ULg

Conference (2014, June 09)

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See detailSECOND ORDER SYMMETRIES OF THE CONFORMAL LAPLACIAN
Michel, Jean-Philippe ULg; Radoux, Fabian ULg; Silhan, Josef

in Symmetry, Integrability and Geometry: Methods and Applications [=SIGMA] (2014), 10(016), 26

Let (M,g) be an arbitrary pseudo-Riemannian manifold of dimension at least 3. We determine the form of all the conformal symmetries of the conformal (or Yamabe) Laplacian on (M,g), which are given by ... [more ▼]

Let (M,g) be an arbitrary pseudo-Riemannian manifold of dimension at least 3. We determine the form of all the conformal symmetries of the conformal (or Yamabe) Laplacian on (M,g), which are given by differential operators of second order. They are constructed from conformal Killing 2-tensors satisfying a natural and conformally invariant condition. As a consequence, we get also the classification of the second order symmetries of the conformal Laplacian. Our results generalize the ones of Eastwood and Carter, which hold on conformally flat and Einstein manifolds respectively. We illustrate our results on two families of examples in dimension three. [less ▲]

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See detailHigher symmetries of the conformal Laplacian
Radoux, Fabian ULg

Scientific conference (2013, December 10)

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See detailQuantifications équivariantes
Radoux, Fabian ULg

Scientific conference (2013, November 05)

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See detailHigher symmetries of the conformal Laplacian
Radoux, Fabian ULg

Scientific conference (2013, July 30)

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See detailHigher symmetries of the conformal Laplacian
Radoux, Fabian ULg

Conference (2013, May 29)

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See detailGeodesics on a supermanifold and projective equivalence of superconnections
Leuther, Thomas ULg; Radoux, Fabian ULg; Tuynman, Gijs

in Journal of Geometry & Physics (2013), 67

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See detailspo(2|2)-equivariant quantizations on the supercircle S^{1|2}
Mellouli, Najla; Nibirantiza, Aboubacar; Radoux, Fabian ULg

in Symmetry, Integrability and Geometry: Methods and Applications [=SIGMA] (2013), 9(055), 17

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See detailQuantifications équivariantes
Radoux, Fabian ULg

Scientific conference (2012, March 15)

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See detailOn osp(p+1,q+1|2r)-equivariant quantizations
Leuther, Thomas ULg; Mathonet, Pierre ULg; Radoux, Fabian ULg

in Journal of Geometry & Physics (2012), 62

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See detailEquivariant quantization in supergeometry
Radoux, Fabian ULg

Scientific conference (2011, December 08)

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See detailProjectively equivariant quantization over R^{p|q}
Radoux, Fabian ULg

Conference (2011, September 13)

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See detailNatural and invariant quantizations
Radoux, Fabian ULg

Conference (2011, July 12)

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See detailQuantifications équivariantes
Radoux, Fabian ULg

Scientific conference (2011, April 15)

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See detailQuantifications naturelles projectivement équivariantes
Radoux, Fabian ULg

Book published by Editions Universitaires Européennes (2011)

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See detailNatural and Projectively Invariant Quantizations on Supermanifolds
Leuther, Thomas ULg; Radoux, Fabian ULg

in Symmetry, Integrability and Geometry: Methods and Applications [=SIGMA] (2011)

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.DG/0208171], using ... [more ▼]

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.DG/0208171], using the framework of Thomas-Whitehead connections. We extend the problem to the context of supermanifolds and adapt M. Bordemann's method in order to solve it. The obtained quantization appears as the natural globalization of the pgl(n+1|m)-equivariant quantization on Rn|m constructed by P. Mathonet and F. Radoux in [arXiv:1003.3320]. Our quantization is also a prolongation to arbitrary degree symbols of the projectively invariant quantization constructed by J. George in [arXiv:0909.5419] for symbols of degree two. [less ▲]

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See detailQuantifications équivariantes
Radoux, Fabian ULg

Scientific conference (2011, March 28)

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See detailQuantifications équivariantes
Radoux, Fabian ULg

Scientific conference (2011, January 27)

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See detailProjectively equivariant quantizations over the superspace R^{p|q}
Mathonet, Pierre ULg; Radoux, Fabian ULg

in Letters in Mathematical Physics (2011), 98(3), 311-331

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 similar to the ... [more ▼]

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 similar to the classical one in the purely even case: we prove the existence and uniqueness of the quantization except in some critical situations. When the projective superalgebra is not simple (i.e. in the case of pgl(n|n)\not\cong sl(n|n)), we show the existence of a one-parameter family of equivariant quantizations. We also provide explicit formulas in terms of a generalized divergence operator acting on supersymmetric tensor fields. [less ▲]

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