Lecture notes and video

Please download lecture notes and exercises: {Here}

Download Lecture Recording: {Here}

Further reading 

For the material from Lecture D1 there are the following sources: 

  • Persi Diaconis, Group representations in probability and statistics. Institute of Mathematical Statistics Lecture Notes—Monograph Series, 11. Institute of Mathematical Statistics, Hayward, CA, 1988. (MR0964069)
  • Martin Liebeck, Applications of character theory of finite simple groups. Local representation theory and simple groups, 323–352, EMS Ser. Lect. Math., Eur. Math. Soc., Zürich, 2018. (MR3821142)

For Course C there is the following book which contains relevant short survey articles: 

Carter, R., & Geck, M. (Eds.). (1998). Representations of Reductive Groups (Publications of the Newton Institute). Cambridge: Cambridge University Press.


This would also be useful for Course A as well. 

More detailed texts for this course would be: 

  • Roger W. Carter, Finite groups of Lie type. Conjugacy classes and complex characters. Pure and Applied Mathematics (New York). A Wiley-Interscience Publication. John Wiley & Sons, Inc., New York, 1985. (MR 0794307)
  • François Digne and Jean Michel, Representations of finite groups of Lie type. Second edition. London Mathematical Society Student Texts, 95. Cambridge University Press, Cambridge, 2020. (MR 4211777)
  • Meinolf Geck and Gunter Malle, The character theory of finite groups of Lie type. A guided tour. Cambridge Studies in Advanced Mathematics, 187. Cambridge University Press, Cambridge, 2020.

There one will find complete proofs and more detailed statements of results.

For Character Theory:

  • I. M. Isaacs, Character Theory of Finite Groups, Academic Press, 1976.
  • G. James, M. Liebeck, Representations and characters of Groups, Cambridge University Press, 2001.
  • G. Navarro, Character theory and the McKay conjecture, Cambridge University Press, 2018.