10 citations · 12 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
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…