Lie Algebra Representation

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Explores Einsteinian relativity, the Lorentz group, and Poincaré transformations, emphasizing proper and non-orthochronous components.

Covers the representation of Lorentz transformations through general fields and the consequences of symmetry.

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

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

Explores Lie algebra, Casimirs, and Poincaré in SO(3) transformations.

Covers the Lie algebra of the Lorentz group, focusing on boosts, rotations, and transformations.

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

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

Covers the complete reducibility of complex representations and the relation between Lie algebras and Lie groups.

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