Lectures related to Group Actions: Examples

Explores Lie groups, scalar fields, and vector spaces transformations.

Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.

Explores the definition and properties of Hermitian forms in complex vector spaces.

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.

Explains kernel, image, and linear maps, illustrating concepts with examples.

Discusses the formulation of G-morphisms within vector spaces and topological spaces.

Covers kernels and images of linear transformations between vector spaces.