On the geometry of three-dimensional Bol algebras with solvable enveloping Lie algebras of small dimension
Thomas Bouetou Bouetou
TL;DR
This paper classifies three-dimensional Bol algebras and their associated Lie triple systems, exploring their geometric structures, isotopies, and related Bol 3-Webs, with a focus on solvable enveloping Lie algebras of small dimension.
Contribution
It provides a detailed classification of three-dimensional Bol algebras linked to specific Lie triple systems and describes their geometric and isotopic properties.
Findings
Classification of three-dimensional Lie triple systems and Bol algebras
Description of Bol 3-Webs associated with these algebras
Construction of isotopy objects for Bol algebras
Abstract
We give the description of three-dimensional Lie triple systems and their corresponding Lie algebras with invomorphisme, The description of three-dimensional Bol algebras linked with the distinguished Lie triple systems above is given. The construction of the object describing the isotopy of Bol algebras. The description of Bol 3-Webs, connected with the selected Bol algebras.
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Taxonomy
TopicsFinite Group Theory Research · Advanced Topics in Algebra · Geometric and Algebraic Topology