Algebra representation

Related lectures (30)

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Explores vector space properties, operations, linear combinations, and subspaces construction.

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

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

Explores the vector representation of signals, orthogonal functions, and Fourier series.

Introduces quantum mechanics, covering S-matrix, scattering amplitudes, and optical theorem.

Explores reactances, impedance, and rotating vectors in AC circuits.

Covers the matrix representation of a linear transformation and its properties, including bases and coefficients.

Covers Quantum Electrodynamics (QED), instantons, Feynman rules, and gauge theories in modern particle physics.

Introduces electrostatics, Coulomb's law, electric fields, and charge behavior in materials.