Calendar

SES # TOPICS KEY DATES
1 The general linear group GLn, groups, generators Problem set 1 out
2 The symmetric group Sn, subgroups  
3 Subgroups of Z+, cyclic groups  
4 Homomorphisms and isomorphisms

Problem set 1 due

Problem set 2 out
5 Cosets  
6 The correspondence theorem  
7 Product groups, quotient groups

Problem set 2 due

Problem set 3 out
8 Fields  
9 Vector spaces, bases, dimension  
10 Computation with bases

Problem set 3 due

Problem set 4 out
11 The dimension formula  
12 Linear operators, eigenvectors  
13 First quiz  
14 The characteristic polynomial

Problem set 4 due

Problem set 5 out
15 Jordan form  
16 Rotations

Problem set 5 due

Problem set 6 out
17 Isometries  
18 Finite groups of isometries  
19 Discrete groups of isometries

Problem set 6 due

Problem set 7 out
20 Discrete groups of isometries (cont.)  
21 Group operations  
22 Finite rotation groups

Problem set 7 due

Problem set 8 out
23 The class equation  
24 Second quiz  
25 The icosahedral group  
26 The symmetric and alternating groups

Problem set 8 due

Problem set 9 out
27 Symmetric and hermitian forms  
28 Orthogonality  
29 The projection formula

Problem set 9 due

Problem set 10 out
30 The spectral theorem  
31 Quadrics  
32 The special unitary group SU2

Problem set 10 due

Problem set 11 out
33 The rotation group SO3  
34 One-parameter groups  
35 One-parameter groups (cont.)  
36 Third quiz  
37 The lie algebra  
38 Simple groups Problem set 11 due