Lectures related to Lie Groups: Representations and Transformations

Covers simplicial and cosimplicial objects in category theory with practical examples.

Explores the significance of the Jacobi identity in Lie algebra and its impact on linear vector spaces.

Covers the transformation of vectors and tensors in quantum physics.

Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.

Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.

Introduces special and general relativity, Einstein equations, and gravitational dynamics.

Introduces Lie algebras, vector spaces with a special bracket operation.