Concept
Quantum group
Related lectures (12)
Weyl character formula
Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.
Lie Algebras and Representations
Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.
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.
Lie Algebra: Representations and Symmetry Groups
Covers Lie algebra, group representations, symmetry groups, and Schur's lemma in the context of symmetry and group operations.
Probability Theory: Basics
Covers the basics of probability theory, including probability spaces, random variables, and measures.
Direct Sums: Abelian Groups
Explores the concept of direct sums in abelian groups, emphasizing the universal property and homomorphisms.
Density Theorem: Endomorphisms of Simple Modules
Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.