Linear Lie Groups: Definitions and Theorems

Related lectures (29)

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Introduces the concept of the differential of a morphism and its applications in algebraic treatments.

Explores Riemannian connections on manifolds, emphasizing smoothness and compatibility with the metric.

Explores the definition of connections for smooth vector fields on manifolds.

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Explores Lie groups, scalar fields, and vector spaces transformations.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.