On the basic algebraic operations in solvable Lie groups
β Scribed by Niels Vigand Pedersen
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 950 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0001-9054
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we study surjectivity of the map g β g n on an arbitrary connected solvable Lie group and describe certain necessary and sufficient conditions for surjectivity to hold. The results are applied also to study the exponential maps of the Lie groups.  2002 Elsevier Science (USA)
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