Lectures related to Information Representation: conventions and basics

Explores risk analysis, consequences, representation, and health impacts in civil engineering.

Covers the representation of Lorentz transformations through general fields and the consequences of symmetry.

Covers the interpretation of the Lindblad equation and its unitary part in quantum gases.

Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.

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

Explores weight space decomposition and proves that a connected linear algebraic group with all semi-simple elements must be a torus.

Explores irreducible and reducible representations in group repetition theory and the lemma of Schur in quantum physics.

Covers the concept of eigenfunctions of H as bases for irreducible representations and integrals.