Let F be a non-Archimedean local field with ring of integers O and finite residue field k of odd characteristic. In contrast to the well-understood representation theory of the finite groups of Lie type GL_n(k) or of the locally compact groups GL_n(F), representations of groups GL_n(O) are considerably less understood. In this talk we construct a family of continuous complex-valued irreducible representations of the groups GL_n(O) called regular representations. This talk is based on a joint work with Roi Krakowski and Uri Onn.
SMS seminar Hall
Indian Institute of Science Bangalore
Regular characters of general linear groups over principal ideal local rings