| 1 |
Groups and Subgroups, Matrix Groups |
Problem set 1 out |
| 2 |
Cyclic Groups, Permutations |
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| 3 |
Generators, Isomorphisms |
Problem set 2 out |
| 4 |
Homomorphisms |
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| 5 |
Cosets |
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| 6 |
Modular Arithmetic |
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| 7 |
Quotient Groups |
Problem set 3 out |
| 8 |
Fields and Vector Spaces |
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| 9 |
Bases and Dimension |
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| 10 |
Computation with Bases |
Problem set 4 out |
| 11 |
The Dimension Formula |
Problem set 5 out |
| 12 |
First Quiz |
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| 13 |
Linear Operators, Eigenvectors |
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| 14 |
The Characteristic Polynomial |
Problem set 6 out |
| 15 |
Rotations |
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| 16 |
Isometries |
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| 17 |
Isometries of the Plane |
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| 18 |
Finite Groups of Motions |
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| 19 |
Discrete Groups |
Problem set 7 out |
| 20 |
Discrete Groups (cont.) |
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| 21 |
Group Operations |
Problem set 8 out |
| 22 |
Finite Rotation Groups |
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| 23 |
The Class Equation |
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| 24 |
Permutation Representations |
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| 25 |
The Icosahedral Group |
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| 26 |
Second Quiz |
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| 27 |
Bilinear Forms |
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| 28 |
Symmetric Forms |
Problem set 9 out |
| 29 |
Hermitian Forms |
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| 30 |
The Spectral Theorem |
Problem set 10 out |
| 31 |
Quadrics |
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| 32 |
The Special Unitary Group SU2 |
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| 33 |
The Rotation Group |
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| 34 |
One-parameter Groups |
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| 35 |
One-parameter Groups (cont.) |
Problem set 11 out |
| 36 |
The Lie Algebra |
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| 37 |
Third Quiz |
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| 38 |
Simple Groups |
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| 39 |
The Alternating Groups |
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