Lectures related to Quotients of Linear Groups by Linearly Reductive Groups

Explores the concept of diagonalizable groups and their properties in linear algebraic groups.

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.

Covers the properties of commutative linear algebraic groups and their elements.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Delves into the Jordan decomposition in Lie algebras of linear algebraic groups.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Covers linear algebraic groups, including special sets and matrix examples.

Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.