Notes on Representation Theory of Finite Groups
نویسنده
چکیده
§1. Representations of finite groups 1 §1.1. Definition and Examples 1 §1.2. G-modules 3 §1.3. Mashke’s Theorem 4 §1.4. Schur’s Lemma 6 §1.5. One-dimensional representations 7 §1.6. Exercises 9 §2. Irreducible representations of finite groups 10 §2.1. Characters 10 §2.2. Basic operations on representations and their characters 11 §2.3. Schur’s orthogonality relations 12 §2.4. Decomposition of the regular representation 14 §2.5. The number of irreducible representations 15 §2.6. Character table of the dihedral group 16 §2.7. Dimension of an irreducible representation divides |G| 17 §2.8. Burnside’s Theorem 19 §2.9. Exercises 21
منابع مشابه
Representation theory
These are notes from the course MAT4270 on representation theory, autumn 2015. The lectures were held by Sergey Neshyevey. The notes are mine, as well as any mistakes. The first half is about representations of finite groups, the second half about representations of compact Lie groups.
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