Clifford theory for group-graded rings. II.
Computation of classes of conjugate elements and of characters of arbitrary finite groups
Constituents of the product of characters in odd order groups.
Constructing irreducible representations of Weyl groups.
Constructing rational representations of finite groups.
Contraction of excess fibres between the McKay correspondences in dimensions two and three
The quotient singularities of dimensions two and three obtained from polyhedral groups and the corresponding binary polyhedral groups admit natural resolutions of singularities as Hilbert schemes of regular orbits whose exceptional fibres over the origin reveal similar properties. We construct a morphism between these two resolutions, contracting exactly the excess part of the exceptional fibre. This construction is motivated by the study of some pencils of K3 surfaces appearing as minimal resolutions...
Correction to the paper "Splitting fields and group characters".
Correction to the paper "The representations and generic degrees of the Hecke algebra of type H4".
Costas para los caracteres de los grupos de Chevalley
Counting with groups and rings.
Darstellungstheorie von Schur-Algebren.
Deformations and derived categories
In this paper we generalize the deformation theory of representations of a profinite group developed by Schlessinger and Mazur to deformations of objects of the derived category of bounded complexes of pseudocompact modules for such a group. We show that such objects have versal deformations under certain natural conditions, and we find a sufficient condition for these versal deformations to be universal. Moreover, we consider applications to deforming Galois cohomology classes and the étale hypercohomology...
Degree problems of representation theory over arbitrary fields of characteristic 0. On theorems of N. Ito and J. G: Thompson.
Degree problems of representation theory over arbitrary fields of characteristic 0. Part 2: Groups which have only two reduces degrees.
Designing Local Orthogonal Bases on Finite Groups I: Abelian Case.
Designing Local Orthogonal Bases on Finite Groups II: Nonabelian Case.
Détermination des caractères des groupes finis simples : travaux de Lusztig
Die irreduziblen Darstellungen abelscher Gruppen über beliebigen Körpern
Die Umkehrung des Satzes von Brauer-Berman-Witt über induzierte Charaktere endlicher Gruppen.
Discrete series and the unipotent subgroup