In Fall 2019, I attended a reading course in representation theory with graduate students of Sun Yat-Sen University，with textbook Representation Theory: A First Course written by William Fulton，I give lectures of Lecture 2, Section 3.1 and Lecture 7, also with something about classical groups in this course. Here are my notes.

Lecture2,Section2:The First Projection Formula and Its Consequences

Lecture2,Section3:Examples:S4 and A4

Lecture2,Section4:More Projection Formulas; More Consequences

Lecture3,Section1:Examples:S5 and A5

Classical groups I: Linear Groups