Main Profile

At A Glance

RT8.2. Finite Groups: Classification of Irreducibles

Representation Theory: Using the Schur orthogonality relations, we obtain an orthonormal basis of L^2(G) using matrix coefficients of irreducible representations. This shows the sum of squares of dimensions of irreducibles equals |G|. We also obtain an orthonormal basis of Class(G) using irreducible characters, and from this we see that the number of irreducible classes equals the number of conjugacy classes in G. We also obtain character formulas for multiplicities. Course materials, including problem sets and solutions, available at http://mathdoctorbob.org/UR-RepTheory.html
Length: 21:12

Contact

Questions about RT8.2. Finite Groups: Classification of Irreducibles

Want more info about RT8.2. Finite Groups: Classification of Irreducibles? Get free advice from education experts and Noodle community members.

  • Answer

Ask a New Question