Lectures related to Identity function

Covers commutative groups and their significance in cryptography.

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

Covers group actions, bijections, evaluations, translations, homomorphisms, and inverses within universal actions.

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

Covers natural transformations, functors, and their composition properties in category theory.

Covers the fundamental concepts of group theory and examples of real numbers and permutations.

Explores split exact sequences and constructing homomorphisms between modules.

Explores product groups and isomorphism between sets with different operations but the same structure.

Covers natural transformations between functors, identity transformations, and equivalence of categories.

Covers the definitions and properties of transformations of the plane.

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

Explores the composition of plane reflections and isometries in space, showcasing how reflections can lead to rotations and different isometries.

Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.

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

Explores eigenvalues, eigenvectors, and diagonalizable transformations through various examples.

Explores invertible matrices, injective functions, and the theory of reciprocal functions.

Explores geometric transformations, symmetries, inversion, and isometries in plane geometry.

Covers the definitions and properties of vector spaces, including axioms and examples.

Covers matrix operations and properties of matrices, including symmetric and anti-symmetric matrices.

Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.