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math.OA2024
The -algebras of completely solvable Lie groups are solvable
Ingrid Beltita, Daniel Beltita
We prove that if a connected and simply connected Lie group admits connected closed normal subgroups with for $j…
math.OA2024
-rigidity of the Heisenberg group
Ingrid Beltita, Daniel Beltita
We prove that the Heisenberg groups can be distinguished from the other connected and simply connected Lie groups via their group -algebras. The main step of the proof is a ch…
math.RT2024
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…