Group Theory: Basics

Related lectures (27)

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Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Introduces Cartesian product and induction for proofs using integers and sets.

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

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

Explores concrete examples of group actions on sets, focusing on actions that do not change the set.

Introduces group theory concepts, properties, and examples, including injective functions and group properties like associativity and inverses.

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

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

Covers the definition of a group, properties of symmetries, and group operations.