Sumários
Aula 4
7 Outubro 2025, 10:00 • Marko Stosic
Power sums: Newton identities.
Power sums form a Q-basis.
Anti-symmetric polynomials.
Relationship between symmetric and anti-symmetric polynomials.
Vandermonde determinant.
Aula 3
30 Setembro 2025, 10:00 • Marko Stosic
Complete symmetric functions.
Relationship between elementary and complete symmetric functions.
Involution on the ring of symmetric functions.
Formal power series.
Definition of power sums.
Aula 2
23 Setembro 2025, 10:00 • Marko Stosic
Ring of symmetric function.
Elementary symmetric polynomials and functions.
Fundamental theorem for symmetric polynomials.
Aula 1
16 Setembro 2025, 10:00 • Marko Stosic
Definição de polinómio simétrico.
Anel graduado (graded ring) dos polinómios simétricos.
Partições.