10 citations · 12 across the 7 of their papers we have counts for
7 papers
Character factorisations, -asymmetric partitions and plethysm
Seamus Albion
The Verschiebung operators are a family of endomorphisms on the ring of symmetric functions, one for each integer . Their action on the Schur basis has its origins i…
A generalization of conjugation of integer partitions
Seamus Albion, Theresia Eisenkölbl, Ilse Fischer +4
We exhibit, for any positive integer parameter , an involution on the set of integer partitions of . These involutions show the joint symmetry of the distributions of the fol…
Elliptic 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 extension of the elliptic Selberg integral. More generally, we obtain elliptic analogue…
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…
Universal characters twisted by roots of unity
Seamus P. Albion
A classical result of Littlewood gives a factorisation for the Schur function at a set of variables "twisted" by a primitive -th root of unity, characterised by the core and quo…
Proof of some Littlewood identities conjectured by Lee, Rains and Warnaar
Seamus P. Albion
We prove a novel pair of Littlewood identities for Schur functions, recently conjectured by Lee, Rains and Warnaar in the Macdonald case, in which the sum is over partitions with e…
AFLT-type Selberg integrals
Seamus P. Albion, Eric M. Rains, S. Ole Warnaar
In their 2011 paper on the AGT conjecture, Alba, Fateev, Litvinov and Tarnopolsky (AFLT) obtained a closed-form evaluation for a Selberg integral over the product of two Jack polyn…