5 citations · 9 across the 7 of their papers we have counts for
8 papers
Parabolic nilradicals of Heisenberg type, II
Aroldo Kaplan, Mauro Subils
Every real simple non-compact Lie algebra not isomorphic to contains a unique standard parabolic subalgebra whose nilradical is a generalized Heisenberg algebr…
Parabolic nilradicals of Heisenberg type
Aroldo Kaplan, Mauro Subils
We show that every non-compact simple real Lie algebra not isomorphic to so(n,1) has a unique conjugacy class of parabolic subalgebras whose nilradical is of Heisenberg type, or no…
Automorphisms of non-singular nilpotent Lie algebras
Aroldo Kaplan, Alejandro Tiraboschi
For a real, non-singular, 2-step nilpotent Lie algebra , the group \Aut(\mathfrak{n})/\Aut_0(\mathfrak{n})\Aut_0(\mathfrak{n})$ is the group of automorphism…
Horizontal submanifolds of groups of Heisenberg type
A. Kaplan, F. Levstein, L. Saal +1
We study maximal horizontal subgroups of Carnot groups of Heisenberg type. We classify those of dimension half of that of the canonical distribution ("lagrangians") and illustrate…
Reality of non-Fock Spinors
Esther Galina, Aroldo Kaplan, Linda Saal
The infinite dimensional Clifford Algebra has a maze of irreducible unitary representations. Here we determine their type -real, complex or quaternionic. Some, related to the Fermi…
Split Clifford modules over a Hilbert space
E. Galina, A. Kaplan, L. Saal
A description of the real, complete modules over the Clifford algebra of a Hilbert space, with the elements of the latter acting by skew-symmetric operators.