# The Nash-Moser Theorem of Hamilton and rigidity of finite dimensional nilpotent Lie algebras

@article{Brega2015TheNT, title={The Nash-Moser Theorem of Hamilton and rigidity of finite dimensional nilpotent Lie algebras}, author={Alfredo Brega and Leandro Cagliero and Augusto C Ochoa}, journal={Journal of Pure and Applied Algebra}, year={2015}, volume={221}, pages={2250-2265} }

## 6 Citations

### Deformations and rigidity in varieties of Lie algebras

- MathematicsJournal of Pure and Applied Algebra
- 2022

### Degenerations of graph Lie algebras

- MathematicsLinear and Multilinear Algebra
- 2020

In this work we associate a Lie algebra to every finite simple graph and obtain a necessary and sufficient condition for the existence of degenerations between these Lie algebras. As a corollary, we…

### The Variety of 7-Dimensional 2-Step Nilpotent Lie Algebras

- MathematicsSymmetry
- 2018

This note considers degenerations between complex 2-step nilpotent Lie algebras of dimension 7 within the variety N 7 2, whose closures give the irreducible components of the variety.

### On Rigid 2-Step Nilpotent Lie Algebras

- Mathematics
- 2018

In this note we consider 2-step nilpotent Lie algebras and give a criterion for the rigidity of this class in the variety Nn2 of 2-step nilpotent Lie algebras of dimension n. We apply this criterio...

### On rigid 2-step nilpotent Lie superalgebras

- Mathematics
- 2021

Abstract The aim of this work is to provide a criterion for the rigidity of 2-step nilpotent Lie superalgebras in the variety of 2-step nilpotent Lie superalgebras of dimension We give several…

### Stability of Lie group homomorphisms and Lie subgroups

- MathematicsJournal of Pure and Applied Algebra
- 2020

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