Time: the first semester.
Credit: 3 hours.
Period: 54 hours.
Previous courses: Abstract Algebra

Course contents:

(1) Matrices and Linear Maps;
(2) Representation of One Endomorphism;
(3) Structure of Bilinear Forms;
(4) The Tensor Product;
(5) Semisimplicity;
(6) Representations of Finite Groups;
(7) The Alternating Product.

References:

(1) W. Fulton, J. Harris, Representation Theory: A First Course, Springer-Verlag,       GTM129.
(2) S. Lang, Algebra, Springer-Verlag, 2004.
(3) J. P. Serre, Linear Representations of Finite Groups, Springer-Verlag,       GTM42.