12 citations · 53 across the 36 of their papers we have counts for
21 papers · 1 filter
Strong -rigidity of the Heisenberg groups
Ingrid Beltita, Daniel Beltita
We prove a strong rigidity property of the Heisenberg groups, that is, they can be distinguished from any other 1-connected Lie groups via their unitary dual spaces, in particular…
Invariant Hilbert spaces of distribution vectors in Lie group representations
Ingrid Beltita, Daniel Beltita
For every unitary irreducible representation of a Lie group we prove that the representation Hilbert space is the only nonzero invariant Hilbert space of distribution vectors.
Symplectic projective orbits of unimodular exponential Lie groups
Ingrid Beltita, Jordy Timo van Velthoven
For an exponential Lie group and an irreducible unitary representation of , we consider the natural action defined by on the projective space of $\ma…
On the regular representation of solvable Lie groups with open coadjoint quasi-orbits
Ingrid Beltita, Daniel Beltita
We obtain a Lie theoretic intrinsic characterization of the connected and simply connected solvable Lie groups whose regular representation is a factor representation. When this is…
Continuous selection of Lagrangian subspaces
Ingrid Beltita, Daniel Beltita
We study continuous selections of the set-valued map that takes every skew-symmetric bilinear form on a vector space to its corresponding set of maximal isotropic subspaces. Applic…
Square-integrable representations and the coadjoint action of solvable Lie groups
Ingrid Beltita, Daniel Beltita
We characterize the square-integrable representations of (connected, simply connected) solvable Lie groups in terms of the generalized orbits of the coadjoint action. We prove that…