On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 3
Matthew Fayers,
Lucia Morotti
Abstract:For any finite group
G
G
and any prime
p
p
one can ask which ordinary irreducible representations remain irreducible in characteristic
p
p
, or more generally, which representations remain homogeneous in characteristic
p
p
. In this paper we address this question when
G
G
is a proper double cover of the symmetric or alternating group. We obtain a classification when
p
=
3
p=3
except… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.