🌟 Representation of Finite & Compact Group Seminar
Date:
Under the guidance of Prof. Shucheng YU at USTC, a seminar on representation of finite groups and compact groups is organized. The frist lecture mainly covered the definition of $k$-linear representations of finite group $G$, permutation representation and regular representation, the correspondence of finite-dimensional $k[G]$-modules and $k$-linear representations of $G$, Maschke’s theorem and the definition of irreducible representations.
I was invited to perform 3 lectures on the construction of representations, Schur’s lemma, Maschke’s theorem, and the irreducible decomposition of regular representations of finite groups. I will discuss some preliminaries in commutative algebra, such as modules and algebras as complement. The main textbook is P. WEBB A Coursein Finite Group Representation Theory.
⏬ Click to download the LECTURE NOTES of seminar 1-2 in PDF.
