(i) G. James and M. Liebeck: Representations and Characters of Groups
(ii) J. P. Serre: Linear representations of finite groups, GTM 42
(iii) B. Sagan: Representations, combinatorial algorithms and symmetric functions
(iv) W. Fulton and J. Harris: Representation theory, GTM 129
(v) I. G. MacDonald: Symmetric fucntions and Hall polynomials.
Here is the syllabus for the qualifying exam in MAy 2010.
HW1 (Weeks 1-2, due in class on Wed, 1/20): Problem Sheet 1
HW2 (Weeks 3-5, due in class on Wed, 2/10): Problem Sheet 2
HW3 (Weeks 5-7, due in class on Wed, 2/24): Problem Sheet 3
HW4 (Weeks 7-9, due in class on Wed, 3/10): Problem Sheet 4
HW4 (Weeks 1-3, due in class on Fri, 4/16): Problem Sheet 5