Lectures related to Elements of Lie Groups and Algebras

Covers tensor analysis, kinematics, and fluid mechanics in continuum mechanics.

Covers stress components, tensor transformation, and invariants in continuum mechanics.

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

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Introduces structural mechanics for life sciences, emphasizing equilibrium, vectors, tensors, and problem-solving strategies.

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

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

Explores Lorentz invariance, tensors in vector spaces, and electromagnetic potentials.