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Parabolic nilradicals of Heisenberg type

Differential Geometry 2016-08-16 v3

Abstract

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 non-singular, and give some applications.

Keywords

Cite

@article{arxiv.1608.02663,
  title  = {Parabolic nilradicals of Heisenberg type},
  author = {Aroldo Kaplan and Mauro Subils},
  journal= {arXiv preprint arXiv:1608.02663},
  year   = {2016}
}

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4 pages