SL2 actions and cohomology of Schubert varieties
Smooth components of Springer fibers
This article studies components of Springer fibers for that are associated to closed orbits of on the flag variety of . These components occur in any Springer fiber. In contrast to the case of arbitrary components, these components are smooth varieties. Using results of Barchini and Zierau we show these components are iterated bundles and are stable under the action of a maximal torus of . We prove that if is a line bundle on the flag variety associated to a dominant weight, then the higher...
SO(2) invariants of a set of 2 x 2 matrices.
Some Examples of Rigid Representations
*Research partially supported by INTAS grant 97-1644.Consider the Deligne-Simpson problem: give necessary and sufficient conditions for the choice of the conjugacy classes Cj ⊂ GL(n,C) (resp. cj ⊂ gl(n,C)) so that there exist irreducible (p+1)-tuples of matrices Mj ∈ Cj (resp. Aj ∈ cj) satisfying the equality M1 . . .Mp+1 = I (resp. A1+. . .+Ap+1 = 0). The matrices Mj and Aj are interpreted as monodromy operators and as matrices-residua of fuchsian systems on Riemann’s sphere. We give new examples...
Sous-groupes conjugués d'un groupe linéaire
On démontre qu’un homomorphisme d’un sous-groupe de dans ce dernier est déterminé à une conjugaison près par son caractère si satisfait à certaines conditions. C’est le cas par exemple d’un sous-groupe discret uniforme de .
Sous-groupes finis des groupes de Lie
Stable base change C / R of certain derived functor modules.
Stable properties of plethysm: on two conjectures of Foulkes.
Stratification of the discriminant in Reflection groups.
Sulle trasformazioni finite dei gruppi delle rotazioni.
Sur le théorème de Hilbert différentiable pour les groupes linéaires finis (d'après E. Noether)
Sur les espaces homogènes de complication nulle
Sur les idéaux à gauche des algèbres de Clifford et les produits scalaires des spineurs
The Algbraic von Neumann Kernel and Linear Algebraic Groups.
The based ring of the lowest two-sided cell of an affine Weyl group. II
The canonical combinatorial sheaf associated to an involution of a semisimple adjoint group.
The Functional Equation. (Short Communication).
The Grothendieck group of G-equivariant modules over coordinate rings of G-orbits
The manifold of the unitary group over the dual numbers. (La variété du groupe unitaire dual.)
The nil Hecke ring and singularity of Schubert varieties.