Algebra Seminar

Let H be a reductive subgroup of a reductive linear algebraic group G, and let F be a finitely generated group. In 1996, Vinberg gave a beautiful proof of a finiteness theorem, valid over a field of characteristic zero, relating representations of F in H to representations of F in G. I will give some background to this theorem and relate it to a question involving characters of representations. Then I will describe how I hope to generalise Vinberg's result to arbitrary characteristic.