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math.RT2013
On Kirillov's lemma for nilpotent Lie algebras
Ingrid Beltita, Daniel Beltita
We establish a sharpening of Kirillov's lemma on nilpotent Lie algebras with 1-dimensional center and use it to study the structure of 3-step nilpotent Lie algebras.
math.RT2013
On the differentiable vectors for contragredient representations
Ingrid Beltita, Daniel Beltita
We establish a few simple results on contragredient representations of Lie groups, with a view toward applications to the abstract characterization of some spaces of pseudo-differe…