AbstractWe introduce obstructions to the existence of a calibrated G2-structure on a Lie algebra g of dimension seven, not necessarily nilpotent. In particular, we prove that if there is a Lie algebra epimorphism from g to a six-dimensional Lie algebra h with kernel contained in the center of g, then h has a symplectic form. As a consequence, we obtain a classification of the nilpotent Lie algebras that admit a calibrated G2-structure
Grunewald and O'Halloran conjectured in 1993 that every complex nilpotent Lie algebra is the degener...
AbstractIn this work large families of naturally graded nilpotent Lie algebras in arbitrary dimensio...
In this work large families of naturally graded nilpotent Lie algebras in arbitrary dimension and ch...
AbstractWe introduce obstructions to the existence of a calibrated G2-structure on a Lie algebra g o...
We classify seven-dimensional nilpotent Lie groups, decomposable or of nilpotency step at most 4, en...
AbstractWe give a full classification of six-dimensional nilpotent Lie algebras over an arbitrary fi...
In this work we introduce an obstruction for the existence of symplectic structures on nilpotent Lie...
AbstractIn the present paper we study six dimensional solvable Lie algebras with special emphasis on...
Given a Lie algebra , let μ(g) and μnil(g) be the minimal dimension of a faithful representation and...
AbstractWe classify real six-dimensional nilpotent Lie algebras for which the corresponding Lie grou...
We consider the correspondence between nilmanifolds and Lie algebras with rational basis, and we def...
A Theorem is proved that shows that for a solvable Lie algebra Ϧ of dimensión n+2 whose nilradical i...
summary:A pair of sequences of nilpotent Lie algebras denoted by $N_{n,11}$ and $N_{n,19}$ are intro...
In this note, we consider degenerations between complex 2-step nilpotent Lie algebras of dimension 7...
We give a method to obtain new solvable 7-dimensional Lie algebras endowed with closed and coclosed ...
Grunewald and O'Halloran conjectured in 1993 that every complex nilpotent Lie algebra is the degener...
AbstractIn this work large families of naturally graded nilpotent Lie algebras in arbitrary dimensio...
In this work large families of naturally graded nilpotent Lie algebras in arbitrary dimension and ch...
AbstractWe introduce obstructions to the existence of a calibrated G2-structure on a Lie algebra g o...
We classify seven-dimensional nilpotent Lie groups, decomposable or of nilpotency step at most 4, en...
AbstractWe give a full classification of six-dimensional nilpotent Lie algebras over an arbitrary fi...
In this work we introduce an obstruction for the existence of symplectic structures on nilpotent Lie...
AbstractIn the present paper we study six dimensional solvable Lie algebras with special emphasis on...
Given a Lie algebra , let μ(g) and μnil(g) be the minimal dimension of a faithful representation and...
AbstractWe classify real six-dimensional nilpotent Lie algebras for which the corresponding Lie grou...
We consider the correspondence between nilmanifolds and Lie algebras with rational basis, and we def...
A Theorem is proved that shows that for a solvable Lie algebra Ϧ of dimensión n+2 whose nilradical i...
summary:A pair of sequences of nilpotent Lie algebras denoted by $N_{n,11}$ and $N_{n,19}$ are intro...
In this note, we consider degenerations between complex 2-step nilpotent Lie algebras of dimension 7...
We give a method to obtain new solvable 7-dimensional Lie algebras endowed with closed and coclosed ...
Grunewald and O'Halloran conjectured in 1993 that every complex nilpotent Lie algebra is the degener...
AbstractIn this work large families of naturally graded nilpotent Lie algebras in arbitrary dimensio...
In this work large families of naturally graded nilpotent Lie algebras in arbitrary dimension and ch...
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