Representações de Grupos Finitos
We will cover the basic 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.
Referências:
[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.
Obs: Esta disciplina é oferecida como disciplina de mestrado. No doutorado, ela possui exigências adicionais.
* Ementa básica. O professor tem autonomia para efetuar qualquer alteração.