Reinhard Knörr
On Natural Monomial Characters of $S_n$
Preprint series: Preprints aus dem Fachbereich Mathematik, Universität Rostock
MSC:
20C30 Representations of finite symmetric groups
20C15 Ordinary representations and characters
20C40 Computational methods
Abstract: A class of natural linear characters for the
centralizers of elements in the symmetric
group is introduced. The character values of
the corresponding monomial characters are
calculated. They have a surprising
combinatorial interpretation.
Keywords: group representation, ordinary
character theory, symmetric groups, finite
fields