Jordan decomposition: Lie algebra

Related lectures (29)

Page 3 of 3

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

Explores the Jordan normal form and its applications in linear algebra, focusing on diagonalization and cyclic bases.

Explains the step-by-step process of finding the singular value decomposition of a matrix.

Explores linear applications, vector spaces, kernels, and invertibility in linear algebra.

Discusses linearly reductive groups and their properties, focusing on completely reducible representations and equivalent modules.

Covers Lie Algebra, focusing on vector space and multiplication law.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Covers matrix rank, determinant, and decomposition in linear algebra.

Covers Lie algebra, group representations, symmetry groups, and Schur's lemma in the context of symmetry and group operations.