Table of Lie groups

Formal sciences
Mathematics
Algebra
Representation theory

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Related lectures (12)

Lie Groups: Structure and Translations

Explores Lie groups, translations, and invariance of states under transformations.

Lie Groups: SU(2) and SO(3)

Explores Lie groups SU(2) and SO(3), emphasizing their mathematical properties and significance in physics.

Time Inversion Operator, Lie Group

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

Lie Groups: SU(2) and SO(3)

Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.

Exponential Maps: Properties and Applications in Lie Groups

Covers the properties of the exponential map in Lie groups and their algebras, including smoothness and the relationship between subgroups and algebras.

Lie Theorem and Irreducible Representations

Explores the Lie theorem and irreducible representations in group theory.

Quantum Mechanics Rotations

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

Lie Groups and Lorentz Transformations

Covers Lie groups, Lorentz transformations, boosts, rotations, and complexified Lie algebras.

Lie Theorems and Group Algebra

Covers Lie theorems, group algebra, Ado's theorem, and spacetime symmetries.

Lie Algebra: Vector Space and Multiplication Law

Covers Lie Algebra, focusing on vector space and multiplication law.

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.

Rigidity in Negative Curvature

Delves into the rigidity of negatively curved manifolds and the interplay between curvature and symmetry.

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