𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Correction and addenda to: On the surjectivity of the exponential map for certain lie groups

✍ Scribed by Martin Moskowitz


Publisher
Springer
Year
1997
Tongue
English
Weight
483 KB
Volume
173
Category
Article
ISSN
0373-3114

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the Surjectivity of the Exponential F
✍ Michael WΓΌstner πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 663 KB

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

On the Surjectivity of the Exponential F
✍ Michael WΓΌstner πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 166 KB

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

A method for approximation of the expone
✍ Elham Nobari; S. Mohammad Hosseini πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 822 KB

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