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Lie groups locally isomorphic to generalized Heisenberg groups
Author(s):
Hiroshi
Tamaru;
Hisashi
Yoshida
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3247-3254.
MSC (2000):
Primary 53C30;
Secondary 22E25
Posted:
April 22, 2008
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Abstract:
We classify connected Lie groups which are locally isomorphic to generalized Heisenberg groups. For a given generalized Heisenberg group  , there is a one-to-one correspondence between the set of isomorphism classes of connected Lie groups which are locally isomorphic to  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
Email:
tamaru@math.sci.hiroshima-u.ac.jp
Hisashi
Yoshida
Affiliation:
Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan
DOI:
10.1090/S0002-9939-08-09489-6
PII:
S 0002-9939(08)09489-6
Keywords:
Generalized Heisenberg groups,
automorphism groups,
local isomorphisms of Lie groups
Received by editor(s):
October 11, 2006
Posted:
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 of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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