Publications

Papers

Algèbre de type Witt sur les réseaux, C.R. Acad. Sci. Paris 320 (1995) 907-910.
Déformations des algèbres de Lie locales et analogue du théorème d'algébricité de Carles, Mathematische Annalen 303 (1995) 63-86.
Cohomology for local Lie algebras, Journal of Algebra 179 (1996) 441-458.
Algèbre de Lie de type Witt, Communications in Algebra 25(5) (1997) 1471-1484.
(with Raika Dehy), Lattice polytopes associated to certain Demazure modules of \(\mathrm{sl}_{n+1}\), Journal of Algebraic Combinatorics 10 (1999) 149-172.
(with Raika Dehy), Degeneration of Schubert varieties of \(\mathrm{SL}_{n}/B\) to toric varieties, Annales de l'Institut Fourier 51 (2001) 1525-1538.
(with Hervé Sabourin), Sur l'irréductibilité de la variété commutante d'une paire symétrique réductive de rang \(1\), Bulletin des Sciences Mathématiques 126 (2002) 143-150.
Centralizers of distinguished nilpotent pairs and related problems, Journal of Algebra 252 (2002) 167-194.
(with Patrice Tauvel), Indice et formes linéaires stables dans les algèbres de Lie, Journal of Algebra 273 (2004) 507-516.
(with Patrice Tauvel), Sur l'indice de certaines algèbres de Lie, Annales de l'Institut Fourier 54 (2004) 1793-1810.
Corrigendum to "Centralizers of distinguished nilpotent pairs and related problems" [J. Algebra 252 (2002) 167-194], Journal of Algebra 287 (2005), 521-522.
(with Hervé Sabourin), On the irreducibility of the commuting variety of the symmetric pair \((\mathrm{so}_{p+2},\mathrm{so}_{p} \times \mathrm{so}_{2})\), Journal of Lie Theory 16 (2006), 57-65.
On the sum of the index of a parabolic subalgebra and of its nilpotent radical, Proceedings of the American Mathematical Society 136 (2008), 1515-1522.
(with Bernt Tore Jensen and Xiuping Su), Rigid representations of a double quiver of type \(A\), and Richardson elements in seaweed Lie algebras, Bulletin of the London Mathematical Society 41 (2009), 1-15.
(with Hella Ounaïes-Khalgui) Invariant semisimple CR structures on the compact Lie groups \(\mathrm{SU}(n)\) and \(\mathrm{SO}_{p}(\mathbb{R}), 5\leq p \leq 7\), Journal of Lie Theory 19 (2009), 267-274.
(with Patrice Tauvel), Algèbres de Poisson et algébres de Lie résolubles, Communications in Algebra 38 (2010), 2317-2353.
(with Céline Righi) On the index of the quotient of a Borel subalgebra by an ad-nilpotent ideal, Journal of Lie Theory 20 (2010), 49-63.
(with Patrice Tauvel), Affine slice for the co adjoint action of a class of biparabolic subalgebras of a semisimple Lie algebra, Algebras and Representation Theory 16 (2013), 859-872.
(with Hella Ounaïes-Khalgui), On invariant semisimple CR structures of maximal rank on the compact Lie groups \(\mathrm{SU}_{n}(\mathbb{C})\) and \(\mathrm{SO}_{n}(\mathbb{R})\), International Mathematics Research Notices 2013 (2013), 5465-5497.
(with Michel Duflo), On compositions associated to Frobenius parabolic and seaweed subalgebras of \( \mathrm{sl}_{n}(\Bbbk )\), Journal of Lie Theory 25 (2015), 1191-1213.
(with Anne Moreau), Jet schemes of the closure of nilpotent orbits, Pacific Journal of Mathematics 281 (2016), 137-183.
On the generation of Coxeter groups and their alternating subgroups by involutions, Journal of Group Theory 22 (2019), 1001-1013.
On semisimple invariant CR structures of maximal rank on the compact symplectic group, Journal of Lie Theory 33 (2023), 1009-1024.

Book

(with Patrice Tauvel), Lie algebras and algebraic groups, Springer Monographs in Mathematics, Springer Verlag, Berlin, 2005 xvi+653 pp. ISBN: 3-540-24170-1 (Photo of the authors)

Published notes

Standard Monomial Theory and Applications, Representation Theories and Algebraic Geometry, Ed. A. Broer, NATO ASI series, Vol. 514, Kluwer Academic Press, 1998, pp. 319-364.

Preprints

Unpublished notes and papers

Sur la classification des représentations graduées simples des algèbres de Kac-Moody affines, (1989) unpublished manuscript.
GEGAL 1994-1995, Collection of notes of the Workgroup on the theory of linear algebraic groups, (1994-1995).
(with Paul Broussous), Fibre product in the categories of simplicial and chambre complexes, Version 9/2/2001.
Algèbres de Lie et groupes algébriques. Notes from a graduate course given at the Université de Poitiers in 2004.