The 27-dimensional module for E6. I.
The automorphisms of the orthogonal groups ... n (V), n ... 5.
The Conjugating Representation of a Semisimple Group.
The defect of weak approximation for homogeneous spaces
The density of representation degrees
For a group and a positive real number , define to be the number of integers less than which are dimensions of irreducible complex representations of . We study the asymptotics of for algebraic groups, arithmetic groups and finitely generated linear groups. In particular we prove an “alternative” for finitely generated linear groups in characteristic zero, showing that either there exists such that for all large , or is virtually abelian (in which case is bounded).
The equations of conjugacy classes of nilpotent matrices.
The First Cohomology Group of a Line Bundle on G/B.
The Geometry of Representations of Am .
The homology of special linear groups over polynomial rings
The Lattice automorphisms of simple algebraic groups over F2.
The monoid of semisimple multiclasses of the group .
The multipliers of similitudes and the Brauer group of homogeneous varieties.
The normality of closures of conjugacy classes of matrices.
The split building of a reductive group.
The Steinberg Function of a Finite Lie Algebra.
The strong linkage principle.
The Structure of the Linear Homogeneous Groups Defined by the Invariant ...........................
The Zassenhaus decomposition for the orthogonal group: properties and applications.
Twisted gamma filtration and algebras with orthogonal involution
For the Grothendieck group of a split simple linear algebraic group, the twisted γ-filtration provides a useful tool for constructing torsion elements in -rings of twisted flag varieties. In this paper, we construct a non-trivial torsion element in the γ-ring of a complete flag variety twisted by means of a PGO-torsor. This generalizes the construction in the HSpin case previously obtained by Zainoulline.
Über Darstellungen höherer Frobenius-Kerne halbeinfacher algebraischer Gruppen.