Lie Groups and Lorentz Transformations

Related lectures (31)

Explores Lie groups, scalar fields, and vector spaces transformations.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.

Explores simple models, electronic structure evaluation, and machine learning at the atomic scale.

Explores the classification and properties of simple complex Lie algebras, emphasizing their connection with Lie groups.

Delves into Macdonald identities, covering affine root systems, modular forms, and Lie algebras.

Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.

Covers Quantum Electrodynamics (QED), instantons, Feynman rules, and gauge theories in modern particle physics.

Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.

Delves into quantum mechanical rotations, discussing SU(2), SO(3), group representations, and topological properties.

Covers the theory of time inversion operator and Lie groups, discussing the consequences of the Wigner theorem.

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