A New Invariant of Quadratic Lie Algebras
Identifieur interne : 000333 ( Main/Exploration ); précédent : 000332; suivant : 000334A New Invariant of Quadratic Lie Algebras
Auteurs : Minh Thanh Duong [France] ; Georges Pinczon [France] ; Rosane Ushirobira [France]Source :
- Algebras and Representation Theory [ 1386-923X ] ; 2012-12-01.
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Abstract
Abstract: We define a new invariant of quadratic Lie algebras and give a complete study and classification of singular quadratic Lie algebras, i.e. those for which the invariant does not vanish. The classification is related to O(n)-adjoint orbits in $\mathfrak{o}(n)$ .
Url:
DOI: 10.1007/s10468-011-9284-4
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The classification is related to O(n)-adjoint orbits in $\mathfrak{o}(n)$ .</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Bourgogne</li><li>Bourgogne-Franche-Comté</li><li>Région Bourgogne</li></region><settlement><li>Dijon</li></settlement><orgName><li>Université de Bourgogne</li></orgName></list><tree><country name="France"><region name="Bourgogne-Franche-Comté"><name sortKey="Duong, Minh Thanh" sort="Duong, Minh Thanh" uniqKey="Duong M" first="Minh Thanh" last="Duong">Minh Thanh Duong</name></region><name sortKey="Duong, Minh Thanh" sort="Duong, Minh Thanh" uniqKey="Duong M" first="Minh Thanh" last="Duong">Minh Thanh Duong</name><name sortKey="Pinczon, Georges" sort="Pinczon, Georges" uniqKey="Pinczon G" first="Georges" last="Pinczon">Georges Pinczon</name><name sortKey="Pinczon, Georges" sort="Pinczon, Georges" uniqKey="Pinczon G" first="Georges" last="Pinczon">Georges Pinczon</name><name sortKey="Ushirobira, Rosane" sort="Ushirobira, Rosane" uniqKey="Ushirobira R" first="Rosane" last="Ushirobira">Rosane Ushirobira</name><name sortKey="Ushirobira, Rosane" sort="Ushirobira, Rosane" uniqKey="Ushirobira R" first="Rosane" last="Ushirobira">Rosane Ushirobira</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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