Notes
- 1 Schur Lemma
- 2 Maschke Theorem
- 3 Quaternions and Associative Algebra
- 4 Division algebra, density theorem and radical
- 5 Semi-Simple and Characters
- 6 Inner product & Schur’s orthogonality relations
- 7 Character Table, Frobenius-Schur Indicator & Complexification
- 7* Notes for Frobenius-Schur Indicator
- 8 Induced Representation
- 9 Frobenius Reciprocity
- 10 Representation of Symmetric Groups
- 10.1 Preliminary for Symmetric Groups
- 10.2 Tableaux, Tabloids and Specht Module
- 10.3 Ordering of Partitions
- 10.4 Complete List of Irreducible Modules
- 10.5 Basis of Specht Modules
- 10.6 Frobenius Character Formula
- 10.7 Branching Rule
- 10.8 Symmetric Polynomials
- 10.9 Characteristical Map