Reinhard Knörr
Partial inner products
Preprint series: Preprints aus dem Fachbereich Mathematik, Universität Rostock

MSC:

20C15 Ordinary representations and characters

Abstract: A 'partial' inner product with respect to a
given subset of Irr(G) is introduced and its
basic properties are studied. As applications,
a weak second orthogonality is shown
in a Clifford setting and a version of the
Burnside-Brauer theorem is given.
Keywords: group representation, ordinary character theory, Clifford theory