AbstractIn this paper we consider 2-step nilpotent Lie algebras, Lie groups and nilmanifolds associated with graphs. We present a combinatorial construction of the second cohomology group for these Lie algebras. This enables us to characterize those graphs giving rise to symplectic or contact nilmanifolds
AbstractWe study left invariant contact forms and left invariant symplectic forms on Lie groups. In ...
Let G be a connected and simply connected two-step nilpotent Lie group and Γ a lattice subgroup of G...
We study invariant Abelian hypercomplex structures on 8-dimensional nilpotent Lie groups. We prove t...
AbstractIn this paper we consider 2-step nilpotent Lie algebras, Lie groups and nilmanifolds associa...
Abstract: We generalize a result on the Heisenberg Lie algebra that gives restrictions to possible L...
We associate with each graph (S,E) a 2-step simply connected nilpotent Lie group N and a lattice Γ i...
We consider the correspondence between nilmanifolds and Lie algebras with rational basis, and we def...
In this work we introduce an obstruction for the existence of symplectic structures on nilpotent Lie...
summary:We study a problem of isometric compact 2-step nilmanifolds ${M}/\Gamma $ using some informa...
Consider a two-step nilpotent Lie algebra n associated with a graph as introduced in [3] endowed wit...
In this paper, we present recent results about the developement of a semiclassical approach in the s...
In this article we show that the only 2-step nilpotent Lie groups which carry a non-degenerate left ...
Given a simple undirected graph, one can construct from it a $c$-step nilpotent Lie algebra for ever...
If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is ...
We classify seven-dimensional nilpotent Lie groups, decomposable or of nilpotency step at most 4, en...
AbstractWe study left invariant contact forms and left invariant symplectic forms on Lie groups. In ...
Let G be a connected and simply connected two-step nilpotent Lie group and Γ a lattice subgroup of G...
We study invariant Abelian hypercomplex structures on 8-dimensional nilpotent Lie groups. We prove t...
AbstractIn this paper we consider 2-step nilpotent Lie algebras, Lie groups and nilmanifolds associa...
Abstract: We generalize a result on the Heisenberg Lie algebra that gives restrictions to possible L...
We associate with each graph (S,E) a 2-step simply connected nilpotent Lie group N and a lattice Γ i...
We consider the correspondence between nilmanifolds and Lie algebras with rational basis, and we def...
In this work we introduce an obstruction for the existence of symplectic structures on nilpotent Lie...
summary:We study a problem of isometric compact 2-step nilmanifolds ${M}/\Gamma $ using some informa...
Consider a two-step nilpotent Lie algebra n associated with a graph as introduced in [3] endowed wit...
In this paper, we present recent results about the developement of a semiclassical approach in the s...
In this article we show that the only 2-step nilpotent Lie groups which carry a non-degenerate left ...
Given a simple undirected graph, one can construct from it a $c$-step nilpotent Lie algebra for ever...
If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is ...
We classify seven-dimensional nilpotent Lie groups, decomposable or of nilpotency step at most 4, en...
AbstractWe study left invariant contact forms and left invariant symplectic forms on Lie groups. In ...
Let G be a connected and simply connected two-step nilpotent Lie group and Γ a lattice subgroup of G...
We study invariant Abelian hypercomplex structures on 8-dimensional nilpotent Lie groups. We prove t...
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