System Composition

Related lectures (32)

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Covers block diagrams and causal LTI systems with rational transfer functions.

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

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

Covers the analysis and properties of Linear Time-Invariant (LTI) systems.

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

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

Covers the Laplace Transform, including its properties and examples.

Explores subrepresentations of the regular representation in group theory, emphasizing properties and isomorphism between subrepresentations.

Explores weight space decomposition and proves that a connected linear algebraic group with all semi-simple elements must be a torus.

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