Lectures related to Permutations and Symmetric Groups

Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.

Covers permutations and combinations with and without repetition, including examples with letters, fruits, bills, and equations.

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

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Introduces algebraic structures essential for understanding mathematical objects used in science and engineering.

Covers the concepts of combinations and permutations in counting scenarios.

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.