✦ LIBER ✦

Lie-CR-structures on a real Lie algebra

✍ Scribed by Daniele Gouthier

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 851 KB
Volume: 7
Category: Article
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(97)00011-9

No coin nor oath required. For personal study only.

✦ Synopsis

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 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,. 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.

📜 SIMILAR VOLUMES

CR-structures on a real Lie algebra

✍ Giuliana Gigante; Giuseppe Tomassini 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 737 KB

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

Structure of real Lie algebras

✍ P. Turkowski 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 734 KB

Horispherical subalgebras of real Lie al

Horispherical subalgebras of real Lie algebras

✍ B.E Swafford 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 503 KB

Hyperplane subalgebras of real Lie algeb

Hyperplane subalgebras of real Lie algebras

✍ Karl H. Hofmann 📂 Article 📅 1990 🏛 Springer 🌐 English ⚖ 870 KB

Additive Lie (-Lie) derivations and gene

Additive Lie (-Lie) derivations and generalized Lie (-Lie) derivations on nest algebras

✍ Xiaofei Qi; Jinchuan Hou 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 186 KB

On Lie-Admissible Algebras Whose Commuta

On Lie-Admissible Algebras Whose Commutator Lie Algebras Are Lie Subalgebras of Prime Associative Algebras

✍ K.I. Beidar; M.A. Chebotar 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 210 KB

We describe third power associative multiplications ) on noncentral Lie ideals of prime algebras and skew elements of prime algebras with involution provided w x that x ) y y y ) x s x, y for all x, y and the prime algebras in question do not satisfy polynomial identities of low degree. We also obta