London Algebra Colloquium abstract

Multiplicity in difference geometry

Rowena Paget (Kent), 22nd November 2012


We define a deflation map which sends an ordinary character of the symmetric group Smn to a character of Sn. We give a combinatorial rule for the values of the images of the irreducible characters under this map, a rule which generalises both the Murnaghan–Nakayama formula and Young’s rule. This is joint work with Anton Evseev (Birmingham) and Mark Wildon (Royal Holloway).