A Lie algebra structure in a formal variational calculation
โ Scribed by I. M. Gel'fand; L. A. Dikii
- Publisher
- Springer US
- Year
- 1976
- Tongue
- English
- Weight
- 402 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0016-2663
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let g,, be a real Lie algebra and g its complexification. The aim of this paper is to study the Lie-CRstructures (in the following we shall call them just LCR-structures) on g,. To an LCR-structure corresponds a CR-structure on the associated real Lie group Go for which right and left translations a
Levi-fat and then the Lie group G, corresponding to go is a Levi-flat CR-manifold. Moreover if q is an ideal, then p (with the complex structure J) is a complex subalgebra. In particular Go contains a complex Lie subgroup of positive dimension. In this paper we are interested in CR-structures of re