Sumários
Schur's orthogonality relations
3 novembro 2020, 09:00 • José António Maciel Natário
Regular representation. Schur's orthogonality relations.
Irreducible representations
2 novembro 2020, 12:00 • José António Maciel Natário
Irreducible representations. Complete reducibility of unitary representations. Schur's Lemma.
Representations
27 outubro 2020, 09:00 • José António Maciel Natário
Unitary maps. Representations. Equivalence of representations. Invariant subspaces.
Conjugacy classes of the symmetric group
26 outubro 2020, 12:00 • José António Maciel Natário
Transpositions, simple transpositions and cycles. Partitions and Young diagrams. Conjugacy classes of the symmetric group.
Conjugation action
20 outubro 2020, 09:00 • José António Maciel Natário
Conjugation action: conjugacy classes, centralizer, normalizer and center.