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Representation Theory Notes by Wushi Goldring is a nonfiction available to read on EtoBox.

What is Representation Theory Notes about?

1. March 19, 2020: Comparing bases, the first orthogonality relation and the character table 1.1. Set-up 1.2. Recall our two bases of Z(C[G]) 1.3. Expressing one basis in the other 1.4. The generalized and 1st orthogonality relations 1.5. Application I: The inner product on class functions 1.6. Proof of the generalized orthogonality relation 1.7. The commutator subgroup and abelianization 1.8. Application of the commutator subgroup to degree 1 characters 1.9. The character Table 2. March 26, 2020: The second orthogonality relation and applications. Pullback and restriction. Symmetric and exterior powers, and their characters. Application of symmetric and exterior powers to nonabelian groups of order 8 and the character table of S5 2.1. Restriction 2.2. Application of the change of basis 1.3.2 2.3. Application of the 1st orthogonality relation II: The 2nd orthogonality relation 2.4. Applications of the 2nd orthogonality relation I: Another proof of 2.2.1, following Gorenstein 2.5. Interlude: Pulling back representations 2.6. Applications of the 2nd orthogonality relation II: Comparing centralizers in G and its quotients 2.7. Tensor, symmetric and exterior powers: Characters 2.8. Usi

Who reads Representation Theory Notes?

Author

Wushi Goldring

Published

2020

Language

EN

Category

nonfiction

Subjects

Mathematics, Algebra, Stem