Group Theory Basics

Related lectures (30)

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Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.

Covers the basics of group theory, including definitions, examples, and isometries.

Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

Covers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Discusses linear Lie groups, their definitions, properties, and the relationship between integral curves and vector fields.

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

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