Commutative algebraic groups

Related lectures (30)

Page 3 of 3

Explores cosets in commutative groups, Lagrange theorem, and integer factorization.

Introduces torsion and divisibility concepts in abelian groups to describe their structure.

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

Covers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

Introduces the theory of abelian groups, focusing on p-abelian groups and their structure.

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

Explores various directions for studying algebraic groups and offers references for further exploration.

Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.

Explores the torus, linear groups, stability properties of matrices, and homomorphisms.