Category
Representation theory
Related lectures (942)
Group Algebra: Maschke's Theorem
Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Subgroups and Cosets: Lagrange's Theorem
Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.
Local structure of totally disconnected locally compact groups I
Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.
Symmetry and Group Theory
Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Representation Theory: Algebras and Homomorphisms
Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.
Lie Algebras and Representations
Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.
Orbit-Stabilizer Theorem: Conjugacy Classes and Direct Products
Covers the Orbit-Stabilizer theorem, conjugacy classes, and direct products in finite groups.
Symmetries and Groups in Quantum Mechanics
Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.
Proper Actions and Quotients
Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.