Regularisation maps on integer partitions

by Millan Berdasco Diego (Universidad Camilo José Cela (Madrid))

Friday Jun 28, 2024, 10:30 AM → 11:30 AM Europe/Paris

E2 1180 (Tours)

Integer partitions λ ⊢ n are combinatorial objects with well known
applications in other areas of mathematics. A map on the set of partitions
of a given n ≥ 2 is known to partially determine the structure of important
representations of the symmetric group Sn; the group of permutations of n
elements. In this talk we will introduce generalisations of this map and explore
their combinatorial properties.