Brauer Trees in GL(n, q).
Bruhat intervals, polyhedral cones and Kazhdan-Lusztig-Stanley polynomials.
algebras associated with von Neumann algebras
Ad un'algebra di von Neumann separabile , in forma standard su di uno spazio di Hilbert , si associa la algebra definita come la algebra costituita dai punti fissi dell'algebra di Cuntz generalizzata mediante l'azione canonica del gruppo degli unitari di . Si dà una caratterizzazione di nel caso in cui è un fattore iniettivo. In seguito, come applicazione della teoria dei sistemi asintoticamente abeliani, si mostra che, se è uno stato vettoriale normale e fedele di , la restrizione...
Caractères d'algèbres de Lie finies
Caractères de groupes de Chevalley finis
Caractères des groupes réductifs finis et -modules
Caractères unipotents de 3D4(Fq).
Catégories dérivées et variétés de Deligne-Lusztig
Catégories tannakiennes
Category for quantum groups
In this paper we study the BGG-categories associated to quantum groups. We prove that many properties of the ordinary BGG-category for a semisimple complex Lie algebra carry over to the quantum case. Of particular interest is the case when is a complex root of unity. Here we prove a tensor decomposition for both simple modules, projective modules, and indecomposable tilting modules. Using the known Kazhdan-Lusztig conjectures for and for finite dimensional -modules we are able to determine...
Cellular algebras.
Certain unipotent representations of finite Chevalley groups and Picard–Lefschetz monodromy
Character formulae for classical groups
We give formulae relating the value Xλ (g) of an irreducible character of a classical group G to entries of powers of the matrix g ε G. This yields a far-reaching generalization of a result of J.L. Cisneros-Molina concerning the GL 2 case [1].
Chern classes of reductive groups and an adjunction formula
In this paper, I construct noncompact analogs of the Chern classes for equivariant vector bundles over complex reductive groups. For the tangent bundle, these Chern classes yield an adjunction formula for the (topological) Euler characteristic of complete intersections in reductive groups. In the case where a complete intersection is a curve, this formula gives an explicit answer for the Euler characteristic and the genus of the curve. I also prove that the higher Chern classes vanish. The first...
Classification of spherical varieties
We give a short introduction to the problem of classification of spherical varieties, by presenting the Luna conjecture about the classification of wonderful varieties and illustrating some of the related currently known results.
Classification of strict wonderful varieties
In the setting of strict wonderful varieties we prove Luna’s conjecture, saying that wonderful varieties are classified by combinatorial objects, the so-called spherical systems. In particular, we prove that primitive strict wonderful varieties are mostly obtained from symmetric spaces, spherical nilpotent orbits and model spaces. To make the paper as self-contained as possible, we also gather some known results on these families and more generally on wonderful varieties.
Closures of Conjugacy Classes of Matrices are Normal.
Closures of SL(2)-Orbits in Projective Spaces.
Coalgebra and algebra structure on representations of general complex linear groups
Cohen-Macaulayness of modules of covariants.