Semi-simplicity

Related lectures (31)

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Covers group theory concepts like isomorphism and semi-direct product through examples and proofs.

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

Covers the concepts and applications of assistive drawing tools, focusing on group structures and representations.

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

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

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

Explores nilpotent Lie groups, their orbits, and adjoint actions, illustrating simplicity and form.

Explores direct products in group theory, including semi-direct products and group properties.

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

Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.