Subgroups and subalgebras

Related lectures (32)

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

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

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

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

Covers the concept of connected components in linear algebraic groups and their relationship to singular groups.

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

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

Introduces Lie algebras, vector spaces with a special bracket operation.

Covers the concepts of groups, products, and homomorphisms, focusing on the hx set and group alternates.

Discusses linear Lie groups, their definitions, properties, and the relationship between integral curves and vector fields.