16 citations · 99 across the 59 of their papers we have counts for
4 papers · 2 filters
Weyl-Pedersen calculus for some semidirect products of nilpotent Lie groups
Ingrid Beltita, Daniel Beltita, Mihai Pascu
For certain nilpotent real Lie groups constructed as semidirect products, algebras of invariant differential operators on some coadjoint orbits are used in the study of boundedness…
Moment convexity of solvable locally compact groups
Daniel Beltita, Mihai Nicolae
We introduce moment maps for continuous unitary representations of general topological groups. For solvable separable locally compact groups, we prove that the closure of the image…
Coadjoint orbits of stepwise square integrable representations
Ingrid Beltita, Daniel Beltita
Nilpotent Lie groups with stepwise square integrable representations were recently investigated by J.A.~Wolf. We give an alternative approach to these representations by relating t…
Contractions of Lie algebras with 2-dimensional generic coadjoint orbits
Daniel Beltita, Benjamin Cahen
We determine all the contractions within the class of finite-dimensional real Lie algebras whose coadjoint orbits have dimensions .