Representations of finite groups

Verão 2015, IMPA

Horários:

Avaliação:

• Prova 1: Terça 27 de janeiro 2015 15:00 hs
• Prova 2: Sexta 27 de fevereiro 2015 15:00 hs
• 7 Listas semanais.

Monitor:

Listas

• Lista 1. Data de entrega: Sex. 16/1.
• Lista 2. Data de entrega: Sex. 23/1.
• Lista 3. Data de entrega: Sex. 27/2.

Bibliografía

Principal

• J. P. Serre. Linear representations of finite groups. Graduate Text in Mathematics 42. Springer 1996.
• S. Mac Lane. Categories for the working mathematician. Graduate Text in Mathematics 5. Springer 2010.
• P. Etingof et. al. Introduction to Representation Theory. Student Mathematical Library 59. AMS 2011.

  Representaçoes de grupos

• B. Simon, Representations of finite and compact groups, Graduate studies in mathematics vol. 10
  
• C.Teleman, Representation theory
  
• P.Diaconis, Group representations in probability and statistics
  
• W.Miller, Symmetry, Groups and Their Applications
  
• J.Rabinoff, Fourier analysis on finite groups and Schur orthogonality
  
• P.Garrett, Representations of GL(2) and SL(2) over finite fields
  
• D.Joyner, Notes on trace formulas for finite groups
  
• T.Y.Lam, Representations of finite groups: A hundred years, Part I  Part II
  
• T.Deshpande, Representations of finite groups of Lie type
  
• Groups and representation theory notes   Topics in representation theory
  
• D.Panyushev, Lectures on representations of finite groups and invariant theory
  
• Wiki page on reps of finite groups
  
• Materials and links from a course on representation theory at Stanford University
  
• Jeremy Rickard's webpage for a rep theory course
  
• Exercises for Joseph Bernstein's course
  

  Módulos e anéis

• Class notes for Modern Algebra, by Matt Douglass
  
• Notes on Algebra, by Marc Culler Treats rings, modules, modules over PIDs.
  
• A lecture by Daniel Katz on free modules
  
• Condensed review of groups, rings, and modules by Roy Smith
  
• Notes on modules and rings by William Schmitt
  
• Wikipedia's entry on modules
  
• Notes by Ralph Howard
  

  Miscelânea

• Zorn's lemma links: Wiki 1 2
  
• Category theory links: 2 3 4

Aulas