Invariants of several matrices.
Involutions and trace forms on exterior powers of a central simple algebra.
Irreducibilty of alternating and symmetric squares.
Irreducible characters of a Sylow p-subgroup of the orthogonal group.
Irreducible linear group-subgroup pairs with the same invariants.
Irreducible Representations of Finite Classical Groups.
Isocrystals with additional structure
Isométrics parfaites entre blocs de groupes linéaires ou unitaires.
Jantzen's Filtrations of Weyl Modules.
Kac-Moody groups, hovels and Littelmann paths
We give the definition of a kind of building for a symmetrizable Kac-Moody group over a field endowed with a discrete valuation and with a residue field containing . Due to the lack of some important property of buildings, we call it a hovel. Nevertheless, some good ones remain, for example, the existence of retractions with center a sector-germ. This enables us to generalize many results proved in the semisimple case by S. Gaussent and P. Littelmann. In particular, if , the geodesic segments...
Kazhdan–Lusztig basis and a geometric filtration of an affine Hecke algebra, II
An affine Hecke algebras can be realized as an equivariant -group of the corresponding Steinberg variety. This gives rise naturally to some two-sided ideals of the affine Hecke algebra by means of the closures of nilpotent orbits of the corresponding Lie algebra. In this paper we will show that the two-sided ideals are in fact the two-sided ideals of the affine Hecke algebra defined through two-sided cells of the corresponding affine Weyl group after the two-sided ideals are tensored by . This...
Kazhdan-Lusztig polynomials: history, problems, and combinatorial invariance.
La théorie des blocs et les groupes génériques
Les -blocs des groupes et et leurs structures locales
Les représentations irréductibles complexes des groupes SL(3,p), PSL(3,p). (The irreducible complex representations of the groups SL(3,p), PSL(3,p)).
Lifting smooth homotopies of orbit spaces
Linear models for reductive group actions on affine quadrics
Longest Weight Vectors and Excellent Filtrations.
Lusztig conjectures, old and new, I.
Matrix entries of real representations of the groups and .