Lectures related to Construction of Alpha and Beta

Covers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

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

Explores morphisms in group theory, focusing on proving their existence and uniqueness through mathematical reasoning.

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

Covers the transformation of vectors and tensors in quantum physics.

Covers the construction and universal properties of pushouts in group theory.

Explores commutative groups, Euler's Totient Function, and Cartesian products in group theory.

Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.

Covers the representations of SU(2) and their transformations in quantum mechanics.

Covers commutative groups and their significance in cryptography.

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Explores fundamental properties of groups and numbers, emphasizing equivalence classes and subgroup concepts.

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

Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.

Explores Galilean transformations in spacetime, focusing on measurements and coordinate transformations.

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Explores isomorphism and the order of group elements, emphasizing matching identities and inverses.

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

Explores geometric quantization in representation theory, focusing on SO3(R) acting on R³ and homogenous polynomials.