Représentations unitaires des groupes de Lie résolubles
Quantification géométrique et réduction symplectique
Sur les intégrales d'entrelacement de R. A. Kunze et E. M. Stein
Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
La structure de Poisson sur l'algèbre symétrique d'une algèbre de Lie nilpotente
Étude de certaines représentations induites d'un groupe de Lie résoluble exponentiel
Polynômes de Joseph et représentation de Springer
An equivariant Riemann-Roch theorem for complete, simplicial toric varieties.
The Campbell-Hausdorff Formula and Invariant Hyperfunctions.
A computation of the equivariant index of the Dirac operator
Arrangement of hyperplanes. I. Rational functions and Jeffrey-Kirwan residue
Sur le semi-centre du corps enveloppant d'une algèbre de Lie
Paradan’s wall crossing formula for partition functions and Khovanski-Pukhlikov differential operator
Let be a family of rational polytopes parametrized by inequations. It is known that the volume of is a locally polynomial function of the parameters. Similarly, the number of integral points in is a locally quasi-polynomial function of the parameters. Paul-Émile Paradan proved a jump formula for this function, when crossing a wall. In this article, we give an algebraic proof of this formula. Furthermore, we give a residue formula for the jump, which enables us to compute it.
Multiple Bernoulli series, an Euler-MacLaurin formula, and Wall crossings
We study multiple Bernoulli series associated to a sequence of vectors generating a lattice in a vector space. The associated multiple Bernoulli series is a periodic and locally polynomial function, and we give an explicit formula (called wall crossing formula) comparing the polynomial densities in two adjacent domains of polynomiality separated by a hyperplane. We also present a formula in the spirit of Euler-MacLaurin formula. Finally, we give a decomposition formula for the Bernoulli series describing...
Projection d'orbites, formule de Kirillov et formule de Blattner
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