Lectures related to General Fields: Lorentz Representations

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

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

Explores symmetry operations, isomorphic representations, and three-dimensional group representations.

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

Covers the properties of nilpotent Lie groups and the construction of non-degenerate alternating 2-forms.

Explores the Kirillov paradigm for the Heisenberg group and unitary representations.

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

Introduces Lie algebras, vector spaces with a special bracket operation.

Explores irreducible and reducible representations in group repetition theory and the lemma of Schur in quantum physics.