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On the Lie group structure of automorphism groups
- Source :
- Comptes Rendus Mathematique. 355:769-773
- Publication Year :
- 2017
- Publisher :
- Elsevier BV, 2017.
-
Abstract
- We give a sufficient condition for complex manifolds for automorphism groups to become Lie groups. As an application, we see that the automorphism group of any strictly pseudoconvex domain or finite-type pseudoconvex domain has a Lie group structure.
- Subjects :
- Discrete mathematics
Classical group
Pure mathematics
Mathematics::Complex Variables
Simple Lie group
010102 general mathematics
SO(8)
Outer automorphism group
General Medicine
Automorphism
01 natural sciences
Representation of a Lie group
Inner automorphism
Group of Lie type
0103 physical sciences
010307 mathematical physics
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 1631073X
- Volume :
- 355
- Database :
- OpenAIRE
- Journal :
- Comptes Rendus Mathematique
- Accession number :
- edsair.doi...........901b9fb2178bc41b1d4fa869dc7647c7
- Full Text :
- https://doi.org/10.1016/j.crma.2017.06.007