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...
Cayley orders
Cellular algebras.
Central extensions of reductive groups by
Certain divisible hypergroups.
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].
Characterizing projective general unitary groups by their complex group algebras
Let be a finite group. Let be the first column of the ordinary character table of . We will show that if , then . As a consequence, we show that the projective general unitary groups are uniquely determined by the structure of their complex group algebras.
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...
Classi coniugate in
Classical and quantum dilogarithmic invariants of flat -bundles over 3-manifolds.
Classification des espaces homogènes sphériques
Classification of group subschemes in , that contain a split maximal torus.
Classification of hermitian forms and semisimple gorups over fields of virtual cohomological dimension one.
Classification of ideals of -dimensional Radford Hopf algebra
Let be the -dimensional Radford Hopf algebra over an algebraically closed field of characteristic zero. We give the classification of all ideals of -dimensional Radford Hopf algebra by generators.