Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Covers matrix operations, Fourier transformations, Gaussian models, and signal representations using algebraic methods.
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
