Lectures related to Orthogonality and Characters

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

Covers basic notations related to sets and subsets, including elements and subsets.

Explores character representations in group repetition theory, discussing irreducibility, equivalence, and associated values.

Covers sets, subsets, and their notation, including the power set concept.

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

Covers function composition and integers, including properties and examples.

Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.

Explores representations of C3v symmetry, character tables, Mulliken symbols, and group theory applications in eigenfunctions.

Introduces sets in discrete mathematics and explores proof techniques like direct and indirect proofs.