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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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