Representations of parabolic and Borel subgroups

Scott H. Murray

Abstract

We demonstrate a relationship between the representation theory of Borel subgroups and parabolic subgroups of general linear groups. In particular, we show that the representations of Borel subgroups could be computed from representations of certain maximal parabolic subgroups.

Keywords: Representation theory, parabolic subgroup, Borel subgroup.

AMS Subject Classification: Primary 20C15; secondary 22D10.