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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