Lectures related to Representation theory

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

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

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

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

Covers the representation theory of unitary minimal models and the Virasoro algebra.

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

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

Explores trajectories and isoclines in mechanical systems using phase plans and different representation methods.

Covers conformal blocks and their significance in complex structures and moduli spaces.

Explores the theory of representation of groups and the concept of complete reducibility.

Explores the Monster group, a sporadic simple group with a unique representation theory.

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

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

Covers the properties of finite dimensional algebras and non-semisimple representations.

Explores representations of C3v symmetry, character tables, Mulliken symbols, and group theory applications in eigenfunctions.

Introduces the Simplex Method for optimal decision making in linear programming, covering basic and advanced concepts.

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

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

Covers Lie groups, Lorentz transformations, boosts, rotations, and complexified Lie algebras.

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