Information Representation: conventions and basics

Related lectures (28)

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Compares various finger counting systems and introduces binary representation.

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

Explores symmetry operations, isomorphic representations, and three-dimensional group representations.

Delves into complex Gaussian signals and their properties in communication systems.

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

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

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

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

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

Explores the theory of representation of groups and the concept of complete reducibility.