Concept
Lie algebra representation
Related lectures (152)
Lie Algebra: Casimirs and Poincaré
Explores Lie algebra, Casimirs, and Poincaré in SO(3) transformations.
Lie Algebra: Group Theory
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Weyl character formula
Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.
Lie Algebra Representation
Delves into Lie algebra representation and Lorentz subgroup concepts.
Complex Gaussian Signals
Delves into complex Gaussian signals and their properties in communication systems.
Structure of Algebras
Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Lie Algebras and Representations
Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.
Lindblad equation
Covers the interpretation of the Lindblad equation and its unitary part in quantum gases.
Representation of Groups
Explores the theory of representation of groups and the concept of complete reducibility.
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.