Structure of Algebras

Related lectures (27)

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

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.

Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.

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

Covers linear applications, matrices, transformations, and the principle of superposition.

Covers singular vectors in Liouville CFT, focusing on representation theory and their implications in mathematical physics.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.