Algebra over a field

Related lectures (31)

Page 3 of 4

Explores Lie groups SU(2) and SO(3), emphasizing their mathematical properties and significance in physics.

Explores geometric examples related to linear applications in algebra.

Explores the homotopy theory of chain complexes, including path object construction and fibrations.

Covers geometric sequences and recurrence systems to find sequence terms and patterns.

Explores optimization problems in algebra and trinomial equations, focusing on maximizing area with fixed perimeters.

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores chain complexes, abelian groups, homomorphisms, homology groups, and free abelian groups.

Presents the classification of finite abelian groups as products of cyclic groups, a fundamental result in various branches of mathematics.

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

Explores the properties and operations of complex numbers in mathematics.