Lectures related to Fun Corps Fini: Decomposition and Roots

Explores algebraic decomposition, simple structures, irreducibility, and separability in finite degrees.

Explores irreducible polynomials, finite fields, and the construction of unique finite fields from irreducible polynomials.

Covers prime numbers, unique decomposition of natural numbers into prime factors, and practical implications for calculations.

Covers the process of diagonalizing matrices, focusing on symmetric matrices and the spectral theorem.

Covers the decomposition of Eisenstein series into orthogonal components and the unitarizability of certain representations.