About zero torsion linear maps on Lie algebras
type: Item
instance of: scholarly article
title: About zero torsion linear maps on Lie algebras
zbMATH Open document ID: 1287.17052
DOI: 10.5402/2011/930189
author: Louis Magnin
published in: ISRN Algebra
publication date: 2011-07-22T00:00:00Z
review text: Summary: We prove that any zero torsion linear map on a nonsolvable real Lie algebra \(\mathfrak g_0\) is an extension of some CR-structure. We then study the cases of \(\mathfrak {sl}(2, \mathbb R)\) and the 3-dimensional Heisenberg Lie algebra \(\mathfrak n\). In both cases, we compute up to equivalence all zero torsion linear maps on \(\mathfrak g_0\), and deduce an explicit description of the equivalence classes of integrable complex structures on \(\mathfrak g_0 \times \mathfrak g_0\).
Mathematics Subject Classification ID: 17B99
Mathematics Subject Classification ID: 32N05
zbMATH DE Number: 5931122
Wikidata QID: Q58690158
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2011/930189
OpenAlex ID: W2104941902
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description: scientific article; zbMATH DE number 5931122