ABSTRACT
This chapter reviews some of the work of Field and Richardson on bifurcation theory for representations in the class sn. It restricts attention to bifurcation problems which are in a particularly simple normal form. The chapter provides a large number of counterexamples to the first part of the MISC. It helps the reader to Appendix A, given at the end of these notes, for some recent counterexamples to the converse of the MISC. The chapter shows that the existence of branches of a particular submaximal isotropy type depends in an essential way on higher order terms. This should be contrasted with applications of the equivariant branching lemma which yields existence of branches along axes of symmetry irrespective of higher order terms.
