Representations of GL₂(\Fq) and SL₂(\Fq), and some remarks about GL_n(\Fq)

2007/12/25 by Amritanshu Prasad, Prasad, Amritanshu
Computer Science · Mathematics · #22C33 #Advanced Algebra and Geometry #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.RT #msc:22C33

paper · pdf · doi:10.48550/arxiv.0712.4051

56 pages, Notes from a course taught at the Advanced Instructional School on Representation Theory and Related Topics held at the Bhaskaracharya Pratishthana and the University of Pune in July 2007

arxiv created 2007/12/25 · openalex publication_date 2007/12/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The goal of these notes is to give a self-contained account of the representation theory of GL₂ and SL₂ over a finite field, and to give some indication of how the theory works for GL_n over a finite field.

Related

• Rational representations of GL₂
• On a q-Identity Arising from the Dimension of a Representation of GL(n) over a Finite Field
• The SL(2)-type and Base Change
• Restriction problem for mod p representations of GL₂ over a finite field
• Lectures on geometric constructions of the irreducible representations of GL_n