Giuseppe Gaeta
Breaking of linear symmetries and Michel theory:
degeneracy, Grassmann manifolds, and invariant subspaces
(63K, plain TeX)
ABSTRACT. Michel's theory of symmetry breaking in its
original formulation has some difficulty in dealing with
problems with a linear symmetry, due to the degeneration in
the symmetry type implied by the linearity of group action.
One can usually circumvent this difficultyu by quotienting out
linear relations, but here we propose a more intrinsic, and
fully geometric, approach to the problem, making use of
Grassmann manifolds. In this way Michel theory can also be
applied to the determination of dynamically invariant
manifolds for equivariant nonlinear flows.