Basic Sets of Brauer Characters of finite groups of Lie type, III.
Basic sets of Brauer characters of finite groups of Lie type.
Bilinear forms for SL(2,q), An and similar groups.
The set of invariant symmetric bilinear forms on irreducible modules over fields of characteristic zero for certain groups is studied. Results are obtained under the presence in a finite group of elements of order four whose square is central. In particular, we find that the relevant modules for the groups mentioned in the title always accept an invariant symmetric bilinear form under which the module admits an orthonormal basis.
Bloc et séries de Lusztig dans un groupe réductif fini.
Brauer Trees in GL(n, q).
Buildings and shadows.
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
Certain unipotent representations of finite Chevalley groups and Picard–Lefschetz monodromy
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.
Cohomology of finite groups of Lie type, I
Cohomology of Induced Representations for Algebraic Groups.
Cohomology of Infinitesimal and Discrete Groups.
Cohomology of unipotent algebraic and finite groups and the Steenrod algebra.
Complex Matrix Representation of GL_n(q)
Conjectures de Lusztig
Conjugacy of subgroups of the general linear group.