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
Correction and addenda to: On the surjectivity of the exponential map for certain lie groups
β Scribed by Martin Moskowitz
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 483 KB
- Volume
- 173
- Category
- Article
- ISSN
- 0373-3114
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π SIMILAR VOLUMES
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
In this paper we explore the computation of the matrix exponential in a manner that is consistent with Lie group structure. Our point of departure is the decomposition of Lie algebra as the semidirect product of two Lie subspaces and an application of the Baker-Campbell-Hausdorff formula. Our result