Concept

Group (mathematics)

Related lectures (32)

Explores irreducible representations of the rotations group and their mathematical properties.

Explores finitely generated abelian groups, focusing on their structure and isomorphism theorems.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Introduces natural transformations in category theory through concrete examples from group theory.

Covers Exercise Set 3 on Symmetry and Group Theory, focusing on chiral molecules, point groups, conjugacy, and group properties.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

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

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Explores homomorphisms of groups, focusing on the signature sgn and the concept of cycles and transpositions.