Heisenberg Group: Representation

Related lectures (28)

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Explores the properties of invertible matrices, including unique solutions and linear independence.

Covers matrix operations, Fourier transformations, Gaussian models, and signal representations using algebraic methods.

Covers the properties and applications of the Fourier transform and its relation to Heisenberg's uncertainty principle.

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

Explores numerical methods for solving the time-dependent Schrödinger equation using grid representation and split-operator algorithms.

Explores efficient determinant calculations using triangular matrices and specific row/column selections for simplification.

Covers direct methods for solving linear systems in numerical analysis.

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

Covers the decomposition of matrices into triangular blocks and spectral decomposition.

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.