Details

Autor(en) / Beteiligte

• Gouthier, Daniele

Titel

Lie-CR-structures on a real Lie algebra

Ist Teil von

• Differential geometry and its applications, 1997-11, Vol.7 (4), p.365-376

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

1997

Link zum Volltext

Quelle

Elsevier Journal Backfiles on ScienceDirect (DFG Nationallizenzen)

Beschreibungen/Notizen

• Let g 0 be a real Lie algebra and g its complexification. The aim of this paper is to study the Lie-CR-structures (in the following we shall call them just LCR-structures) on g 0. To an LCR-structure corresponds a CR-structure on the associated real Lie group G 0 for which right and left translations are both CR-maps. Levi-Mal'cev decomposition permits to consider separately the semisimple and the solvable cases and to describe completely the LCR-structures of a generic real Lie algebra g 0. Hence, we introduce and describe the semidirect sum by the adjoint derivation of the structures induced on the solvable radical and on a Levi subalgebra.