We will cover the basics of representation theory of finite groups. Denitions and basic properties. Reducibility, Schur’s Lemma. Tensor products. Characters, conjugacy classes and projection formulas. Semidirect products and induced representations. Simmetric groups, Young diagrams. Frobenius Character formula.

References:
[1] SIMON, B. – Representations of finite and compact groups”, Graduate studies in mathematics, vol. 10. AMS, 1996.
[2] FULTON, W., HARRIS, J. – Representation Theory, a first course”, Graduate text in mathematics, vol 129. Springer, 1991.

Note: This course is offered as a master’s course. In the doctorate, it has additional requirements.

* Basic syllabus. The teacher has the autonomy to make any changes.