Homomorphisms: Birational Maps and Affine Varieties

Related lectures (31)

Page 3 of 4

Explores group morphisms, kernels, and injectivity in group theory.

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Explores the symmetric group, emphasizing cycle notation and group properties.

Covers the construction and universal properties of pushouts in group theory.

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.

Covers the concepts of groups, products, and homomorphisms, focusing on the hx set and group alternates.

Introduces affine varieties and covers morphisms between them and their coordinate rings.

Covers the concept of amalgams, defining pushouts and quotient groups in group theory.

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