E. Ihrig and M. Golubitsky
Pattern selection with 0(3) symmetry
Physica 13D (1984) 1-33.
For each irreducible representation of S0(3) and 0(3) we determine,
up to conjugacy, all isotropy subgroups and identify, in particular,
the maximal isotropy subgroups. Each isotropy subgroup corresponds
to a possible planform for the spherical Benard problem. Using an
equivariant branching lemma of Cicogna we prove, for each of
these representations, the existence of solutions corresponding to
a number of different planforms, thus extending substantially the
work of Busse and Sattinger. We also give a useful criterion
for showing when solutions obtained by the equivariant branching
lemma must be unstable.