Problems in the representation theory of algebraic groups

Abstract

This thesis is in two parts. Part A is concerned with a problem in the representation theory of semisimple algebraic groups. In part B we are interested in the endomorphism rings of comodules, in particular in the endomorphism ring of a certain induced comodule. The parts are more or less self contained each having its own introduction and references. There is however an underlying theme of induction and so the exposition of 2, (A) is relevent to both parts. Other points of overlap are the second theorem of 4 in part A and the digression of 2 in part B