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- W4366588588 abstract "It is a natural question to ask whether there is any Lie algebra that completely characterize simple singularities? The higher Nash blow-up derivation Lie algebras Lkl(V) associated to isolated hypersurface singularities defined to be the Lie algebra of derivations of the local Artinian algebra Mnl(V):=Ol/⟨F,Jn⟩, i.e., Lkl(V)=Der(Mnl(V)). In this paper, we construct a new conjecture for the complete characterization of simple hypersurface singularities using the Lie algebras Lkl(V) under certain condition and prove it true for Lkl(V) when k,l=2." @default.
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- W4366588588 date "2023-04-20" @default.
- W4366588588 modified "2023-09-24" @default.
- W4366588588 title "On the Higher Nash Blow-Up Derivation Lie Algebras of Isolated Hypersurface Singularities" @default.
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- W4366588588 doi "https://doi.org/10.3390/math11081935" @default.
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