18 citations · 74 across the 29 of their papers we have counts for
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math.RA2006
Two-step nilpotent Lie algebras with ad-invariant metrics and a special kind of skew-symmetric maps
Gabriela Ovando
We prove that a 2-step nilpotent Lie algebras admitting an ad-invariant metric can be constructed from a vector space endowed with a inner product and an injec…
math.DG2006★ 1 cited
Lie bialgebras of complex type and associated Poisson Lie groups
A. Andrada, M. L. Barberis, G. Ovando
In this work we study a particular class of Lie bialgebras arising from Hermitian structures on Lie algebras such that the metric is ad-invariant. We will refer to them as Lie bial…
math-ph2006★ 4 cited
Small oscillations and the Heisenberg Lie algebra
Gabriela Ovando
The Adler Kostant Symes [A-K-S] scheme is used to describe mechanical systems for quadratic Hamiltonians of on coadjoint orbits of the Heisenberg Lie group. The co…