On the Structure of Maximal Solvable Extensions and of Levi Extensions of Nilpotent Lie Algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F10%3A00171725" target="_blank" >RIV/68407700:21340/10:00171725 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On the Structure of Maximal Solvable Extensions and of Levi Extensions of Nilpotent Lie Algebras
Original language description
We establish an improved upper estimate on the dimension of any solvable Lie algebra {mathfrak s} with its nilradical isomorphic to a given nilpotent Lie algebra {mathfrak n}. Next we consider Levi decomposable algebras with a given nilradical {mathfrak n} and investigate restrictions on possible Levi factors originating from the structure of characteristic ideals of {mathfrak n}. We present a new perspective on Turkowski's classification of Levi decomposable algebras up to dimension 9.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/LC527" target="_blank" >LC527: Center for Particle Physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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