Group Theory Basics

Related lectures (30)

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

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

Covers commutative groups and their significance in cryptography.

Covers simplicial and cosimplicial objects in category theory with practical examples.

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

Covers ideals, representations, modules, and maximal ideals in associative algebras.

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

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

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

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