System Composition

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Related lectures (32)

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Density Theorem: Endomorphisms of Simple Modules

Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.

Symmetry and Group Theory: Exercise Set 4

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

Group Representations: Matrices and Symmetry

Explores group representations using matrices, discussing reducible vs. irreducible representations and the Great Orthogonality Theorem.

The Regular Representation

Introduces the regular representation, a key tool for studying group actions on varieties.

Signals & Systems Review

Provides a comprehensive review of signals and systems, covering topics such as time-domain analysis, frequency-domain analysis, and Fourier transform.

Complete Reducibility of Complex Representations

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

Kirillov Paradigm for Heisenberg Group

Explores the Kirillov paradigm for the Heisenberg group and unitary representations.

LTI System Properties

Explores the properties of Linear Time-Invariant systems through impulse response and convolution sum.

Machine Learning at the Atomic Scale

Explores simple models, electronic structure evaluation, and machine learning at the atomic scale.

Ideals and Representations

Covers ideals, representations, modules, and maximal ideals in associative algebras.