Symmetry and Group Theory

Related lectures (30)

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Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

Covers the solution of a practice exam in Algebra, focusing on finding greatest common divisors of polynomials and exploring group properties.

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

Delves into the symmetries of regular polygons, including the dihedral group and left cosets in a finite group.

Covers group actions, conjugacy classes, centralizers, direct products, and finite abelian groups.

Explores the philosophy of understanding a group through its subgroups' structure, focusing on finite groups.

Explores character representations in group repetition theory, discussing irreducibility, equivalence, and associated values.

Explores irreducible and reducible representations in group repetition theory and the lemma of Schur in quantum physics.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Covers the definition of solvable groups and the abelian property of group quotients.