Lie Groups: Structure and Translations

Related lectures (31)

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Explores Cayley tables, group operations, homomorphisms, Lie groups, and differentiable groups.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Explores the properties of the exponential map in Lie groups and algebras.

Explores the unique determination of homomorphisms by differentials and the intersection of closed subgroups' Lie algebras.

Explores the Lie theorem and irreducible representations in group theory.

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

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

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

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

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