3 papers
math.RT2017
Coadjoint orbits in representation theory of pro-Lie groups
Daniel Beltita, Amel Zergane
We present a one-to-one correspondence between equivalence classes of unitary irreducible representations and coadjoint orbits for a class of pro-Lie groups including all connected…
math.RT2016
Amenability and representation theory of pro-Lie groups
Daniel Beltita, Amel Zergane
We develop a semigroup approach to representation theory for pro-Lie groups satisfying suitable amenability conditions. As an application of our approach, we establish a one-to-one…
math.GR2012
Overalgebras and separation of generic coadjoint orbits of
Amel Zergane
For the semi simple and deployed Lie algebra , we give an explicit construction of an overalgebra of $\mathfr…