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Weyl character formula
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Related lectures (32)
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Hilpot Liegr: Understanding Nilpotent Lie Groups
Explores nilpotent Lie groups, their orbits, and adjoint actions, illustrating simplicity and form.
Complete Reducibility of Complex Representations
Covers the complete reducibility of complex representations and the relation between Lie algebras and Lie groups.
Module Theory: Chain Conditions
Explores chain conditions in module theory, emphasizing Noetherian modules and stabilizing sequences of submodules.
Tensor Products of Modules
Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.
Representation Theory: Algebras and Homomorphisms
Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
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.
Rings and Modules
Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Lie Groups and Lorentz Transformations
Covers Lie groups, Lorentz transformations, boosts, rotations, and complexified Lie algebras.