Coxeter Groups: Geometric Equivalence and Positive Definite Graphs

Related lectures (29)

Page 2 of 3

Explores eigenvalues, matrix trace, and similarity, highlighting their significance in matrix properties.

Covers matrix operations, focusing on the product and inverse of matrices.

Explains square matrices, including invertible, triangular, and diagonal matrices, and their properties.

Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.

Covers matrix operations, including multiplication, transposition, powers, and inverses, and explains how to determine if a matrix is invertible.

Explores the theorem that an element sending all simple roots to simple roots is the identity in Coxeter groups.

Explores McKay graphs for finite subgroups of SU(2) and the corresponding Coxeter graphs.

Explores the properties of invertible matrices, including unique solutions and linear independence.

Provides an overview of symmetric matrices, quadratic forms, and their applications in linear algebra and analysis.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.