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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     author = {I. A. Proskurnin},
     title = {Singularities equivariantly simple with respect to irreducible representations},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     publisher = {mathdoc},
     volume = {57},
     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2023_57_1_a4/}
}
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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/