Lectures related to Heisenberg Group: Representation

Explores properties of orthogonal and triangular matrices with linearly independent columns and their mathematical operations.

Covers the analysis of analog signals, complex impedance, and Fourier series in linear circuits.

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

Explores upper triangular block matrices, invertibility, elementary transformations, and determinants with examples.

Explores symmetric matrices, their diagonalization, and properties like eigenvalues and eigenvectors.

Explores lattices in Rd, Gram matrices, theta functions, and modular properties.

Covers the Fourier transform of sampled signals, reconstruction, and harmonic response.

Explores properties and calculation tricks of determinants, including fixing rows/columns, expanding, and examples of determinant calculations.