MATH-314 / 5 crédits

Enseignant: Rizzoli Aluna

Langue: Anglais

## Summary

Group representation theory studies the actions of groups on vector spaces. This allows the use of linear algebra to study certain group theoretical questions. In this course the groups in question will be finite and the vector spaces finite dimensional.

## Keywords

representation, group, algebra, module, character

## Required courses

Linear algebra, Anneaux et corps

## Recommended courses

Théorie des groupes, Rings and modules

Linear algebra

## Learning Outcomes

By the end of the course, the student must be able to:

• Apply theorems to concrete examples
• Quote results from the course
• Prove certain results from the course

## Transversal skills

• Assess one's own level of skill acquisition, and plan their on-going learning goals.
• Demonstrate the capacity for critical thinking

## Teaching methods

Lectures and exercises

Written exam

## Supervision

 Office hours Yes Assistants Yes Forum No

No

## Bibliography

• Representations and Characters of groups, G. D. James and M. W. Liebeck
• Linear Representations of Finite Groups, J.-P. Serre
• Character Theory of Finite Groups, I. M. Isaacs
• Representation Theory: A First Course, W. Fulton and J. Harris

## Dans les plans d'études

• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Representation theory of finite groups
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines

## Semaine de référence

 Lu Ma Me Je Ve 8-9 9-10 10-11 11-12 12-13 13-14 INM11 14-15 15-16 INM11 16-17 17-18 18-19 19-20 20-21 21-22

Jeudi, 13h - 15h: Cours INM11

Jeudi, 15h - 17h: Exercice, TP INM11

## Cours connexes

Résultats de graphsearch.epfl.ch.