Seamus P. Albion

activity

20232025

collaborators

4 papers

math.CO2025

Character factorisations, $z$ -asymmetric partitions and plethysm

Seamus Albion

The Verschiebung operators $φ_{t}$ are a family of endomorphisms on the ring of symmetric functions, one for each integer $t \geq 2$ . Their action on the Schur basis has its origins i…

math.CO2024

A generalization of conjugation of integer partitions

Seamus Albion, Theresia Eisenkölbl, Ilse Fischer +4

We exhibit, for any positive integer parameter $s$ , an involution on the set of integer partitions of $n$ . These involutions show the joint symmetry of the distributions of the fol…

math.CA2023

Elliptic $A_{n}$ Selberg integrals

Seamus P. Albion, Eric M. Rains, S. Ole Warnaar

We use the elliptic interpolation kernel due to the second author to prove an $A_{n}$ extension of the elliptic Selberg integral. More generally, we obtain elliptic analogue…

math.CO2023

Skew symplectic and orthogonal characters through lattice paths

Seamus P. Albion, Ilse Fischer, Hans Höngesberg +1

The skew Schur functions admit many determinantal expressions. Chief among them are the (dual) Jacobi-Trudi formula and the Lascoux-Pragacz formula, which is a skew analogue of the…

Character factorisations, z-asymmetric partitions and plethysm

A generalization of conjugation of integer partitions

Elliptic An​ Selberg integrals

Skew symplectic and orthogonal characters through lattice paths

Character factorisations, $z$ -asymmetric partitions and plethysm

Elliptic $A_{n}$ Selberg integrals