Lie Theorem and Irreducible Representations

Related lectures (30)

Page 3 of 3

Introduces the basics of group theory, including operations, properties, and Lie groups.

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

Explores the arithmetic of direct sums in group theory, discussing conditions for equality.

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

Demonstrates the existence of direct sums of abelian groups and covers propositions and proofs related to their uniqueness.

Explores abelian groups from a categorical perspective, discussing the coproduct construction.

Explores associativity, Lie algebra, Lie groups, relativity, and symmetry preservation in quantum field theory.

Explores the concept of free abelian groups as an important left adjoint functor.

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

Covers the tensor product of representations, symmetries of a triangle, irreducible representations, and practical applications in physics.