Explores the unique determination of homomorphisms by differentials and the intersection of closed subgroups' Lie algebras.
Covers the concept of connected components in linear algebraic groups and their relationship to singular groups.
Explores the concept of diagonalizable groups and their properties in linear algebraic groups.
Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Covers the basics of linear algebra, including matrix operations and singular value decomposition.
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Explores Singular Value Decomposition and its role in unsupervised learning and dimensionality reduction, emphasizing its properties and applications.
