0.1. We discuss about the characteristic varieties of certain modules over the enveloping
algebra of a semisimple Lie algebra, such as highest weight modules and primitive …

Let k be an algebraically closed field of characteristic p> 0, and let G be a connected,
reductive algebraic group over k. In [8] and [11], conditions on the dimension of rational G …

These notes were originally intended for a course given at the PIMS Summer School on
Geometric and Topological Aspects of the Representation Theory of Finite Groups in …

In this paper, we give a lower bound of the p-part of the reduced Euler characteristic of the
order complex of the centric p-radical subgroups by studying vertices of indecomposable …

The isomorphism types of finite Lie primitive subgroups of the complex Lie groups $ E_
{6}(\C) $ and $ F_4 (\C) $ are determined. Here, we call a finite subgroup of a complex Lie …

In view of recent work of Seitz and Aschbacher, the main result of this thesis is relevant to the
problem of finding the maximal subgroups of both the classical algebraic groups and the …

It is proved that an irreducible quasifinite W _ ∞-module is a highest or lowest weight
module or a module of the intermediate series; a uniformly bounded indecomposable weight …

Let G be a group, K a field and V a finite-dimensional KG-module. Let LV denote the free Lie
algebra on the K-space V and, for each positive integer n, let Ln V be the homogeneous …

Let X and G be simple, connected, linear algebraic groups over an algebraically closed field
k of characteristic p (possibly p= 0), and suppose that rank (A')> 5 rank (G). In this paper we …

In recent work Goebel and Goldsmith investigated the spectrum of maximal pure subgroups
of certain Abelian groups. Here the situation relating to maximal pure submodules of a …