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 … Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.