Research
Research areas
Lie algebras and algebraic groups -
Representation theory -
Invariant theory -
Algebraic combinatorics
Publications - articles
-
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.
-
On adjoint orbits in nilpotent ideals of a Borel subalgebra,
Archiv der Mathematik
126 (2026), 365-375.
Publications - books
- (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 des auteurs)
Publications - 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.
