Lie groups locally isomorphic to generalized Heisenberg groups
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- by Hiroshi Tamaru and Hisashi Yoshida PDF
- Proc. Amer. Math. Soc. 136 (2008), 3247-3254 Request permission
Abstract:
We classify connected Lie groups which are locally isomorphic to generalized Heisenberg groups. For a given generalized Heisenberg group $N$, there is a one-to-one correspondence between the set of isomorphism classes of connected Lie groups which are locally isomorphic to $N$ and a union of certain quotients of noncompact Riemannian symmetric spaces.References
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Additional Information
- Hiroshi Tamaru
- Affiliation: Department of Mathematics, Hiroshima University, Higashi-Hiroshima 739-8526, Japan
- MR Author ID: 645435
- Email: tamaru@math.sci.hiroshima-u.ac.jp
- Hisashi Yoshida
- Affiliation: Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan
- Received by editor(s): October 11, 2006
- Published electronically: April 22, 2008
- Additional Notes: The first author was supported in part by Grant-in-Aid for Young Scientists (B) 17740039, The Ministry of Education, Culture, Sports, Science and Technology, Japan.
- Communicated by: Dan M. Barbasch
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 3247-3254
- MSC (2000): Primary 53C30; Secondary 22E25
- DOI: https://doi.org/10.1090/S0002-9939-08-09489-6
- MathSciNet review: 2407090