Geodesic
Singularities equivariantly simple with respect to irreducible representations
Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 1, pp. 77-82.

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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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I. A. Proskurnin. Singularities equivariantly simple with respect to irreducible representations. Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 1, pp. 77-82. http://geodesic.mathdoc.fr/item/FAA_2023_57_1_a4/

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