Algebraic hulls of solvable groups and exponential iterated integrals on solvmanifolds
β Scribed by Kasuya, Hisashi
- Book ID
- 118798598
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 163 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0046-5755
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π SIMILAR VOLUMES
For a solvable Lie group G the surjectivity of the exponential function expc is equivalent to the connectedness of the near-Cartan subgroups and to the connectedness of the centralizers in a Cartan subgroup of all nilpotent elements in its Lie algebra g. Furthermore, these conditions are satisfied i
The surjectivity of the exponential function of complex algebraic, in particular of complex semisimple Lie groups, and of complex splittable Lie groups is equivalent to the connectedness of the centralizers of the nilpotent elements in the Lie algebra. This implies that the only complex semisimple L