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On the Higher Nash Blow-Up Derivation Lie Algebras of Isolated Hypersurface Singularities.
- Source :
-
Mathematics (2227-7390) . Apr2023, Vol. 11 Issue 8, p1935. 15p. - Publication Year :
- 2023
-
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 L k l (V) associated to isolated hypersurface singularities defined to be the Lie algebra of derivations of the local Artinian algebra M n l (V) : = O l / 〈 F , J n 〉 , i.e., L k l (V) = D e r (M n l (V)) . In this paper, we construct a new conjecture for the complete characterization of simple hypersurface singularities using the Lie algebras L k l (V) under certain condition and prove it true for L k l (V) when k , l = 2 . [ABSTRACT FROM AUTHOR]
- Subjects :
- *LIE algebras
*JACOBIAN matrices
*ALGEBRA
*HYPERSURFACES
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 163434126
- Full Text :
- https://doi.org/10.3390/math11081935