# Representations and conjugacy classes of GL_2(F_q).

Speaker: Hassain M.

Date: 27 January, 2015 (Tuesday)

Time: 09:15 pm – 10:15 pm

Venue: Lecture Hall I, Department of Mathematics

Abstract: For a finite group $G$ by a representation we mean a group homomorphism from $G$ to the group of automorphisms of a finite dimensional complex vector space. In this talk we will discuss the irreducible representations and conjugacy classes of $GL_2(F_q)$, the group of 2 × 2 invertible matrices over the finite field $F_q$ with $q$ elements, where $q$ is a prime power. Also we will find the character table of $GL_2(F_q)$ explicitly.

Area: Representation Theory