Lie Algebra: Group Theory

Related lectures (30)

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Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.

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

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers the representation of Lorentz transformations through general fields and the consequences of symmetry.

Covers the complete reducibility of complex representations and the relation between Lie algebras and Lie groups.

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

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.