English

Lie groups locally isomorphic to generalized Heisenberg groups

Differential Geometry 2007-05-23 v1 Representation Theory

Abstract

We classify connected Lie groups which are locally isomorphic to generalized Heisenberg groups. For a given generalized Heisenberg group NN, there is a one-to-one correspondence between the set of isomorphism classes of connected Lie groups which are locally isomorphic to NN and a union of certain quotients of noncompact Riemannian symmetric spaces.

Keywords

Cite

@article{arxiv.math/0610674,
  title  = {Lie groups locally isomorphic to generalized Heisenberg groups},
  author = {Hiroshi Tamaru and Hisashi Yoshida},
  journal= {arXiv preprint arXiv:math/0610674},
  year   = {2007}
}

Comments

7 pages

R2 v1 2026-07-22T17:44:48.887Z