Abstract:
There are many papers on the classification of singularities that are invariant or equivariant under the
action of a finite group. However, since the problem is difficult, most of these papers consider
only special cases, for example, the case of the action of a particular group of small order.
In this paper, an attempt is made to
prove general statements about equivariantly simple singularities; namely, singularities
equivariantly simple with respect to irreducible actions of finite groups are classified. A criterion for
the existence of such equivariantly simple singularities is also given.
Keywords:classification of singularities, simple singularity, equivariant function.
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