Note on Three-Dimensional Lie Groups
1955 ◽
Vol 2
(3)
◽
pp. 112-115
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Keyword(s):
The object of this note is to construct a set of real three-dimensional Lie groups such that every real three-dimensional Lie group is locally isomorphic with some group in the set. The construction is effected by first finding canonical forms for the constants of structure of real three-dimensional Lie algebras; these canonical forms give rise to certain bilinear forms, and the Lie groups are obtained as linear groups isomorphic with groups of automorphisms which leave these bilinear forms invariant.
1957 ◽
Vol 9
◽
pp. 347-351
◽
Keyword(s):
2007 ◽
Vol 17
(01)
◽
pp. 115-139
◽
Keyword(s):
2018 ◽
Vol 15
(04)
◽
pp. 1850059
◽
Keyword(s):
Keyword(s):
Keyword(s):
2019 ◽
Vol 16
(07)
◽
pp. 1950097
Keyword(s):
2009 ◽
Vol 146
(2)
◽
pp. 351-378
◽
2017 ◽
Vol 15
(01)
◽
pp. 1850015
1957 ◽
Vol 64
(3)
◽
pp. 290-304
◽
Keyword(s):