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Concept

Group (mathematics)

Related lectures (32)

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

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

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

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

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

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

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

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Covers the basics of group theory, including elements, associativity, identity, inverses, and closure.

Covers aggregation logic, sorting results, and writing SQL queries based on specific attributes.

Explores irreducible representations of the rotations group and their mathematical properties.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Covers Exercise Set 3 on Symmetry and Group Theory, focusing on chiral molecules, point groups, conjugacy, and group properties.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

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

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Demonstrates the existence of direct sums of abelian groups and covers propositions and proofs related to their uniqueness.

Covers the RSA cryptosystem, encryption, decryption, group theory, Lagrange's theorem, and practical applications in secure communication.