Zurück zu den Preprints des Jahres 2001


Spin representations, powers of 2 and the Glaisher map

by Bessenrodt, C., Olsson, J..

Series: 2001-28, Preprints

20C30 Representations of finite symmetric groups
05A15 Exact enumeration problems, generating functions

Generalizing results on spin character degrees, we
determine for a given conjugacy class of odd type
in the double cover of $S_n$ spin characters of $S_n$
which have the minimal 2-power on this class
in their character value.
Surprisingly, the Glaisher map plays an important role here.

double cover of symmetric groups, spin characters, Glaisher map

This paper was published in:
Algebras and Representation Theory (to appear)