Lie algebras with triality

dc.creatorGrishkov, Alexandr
dc.date2005-11-07
dc.date.accessioned2026-07-07T06:50:55Z
dc.date.available2026-07-07T06:50:55Z
dc.descriptionBy analogy with the definition of group with triality we introduce Lie algebra with triality as Lie algebra L wich admits the group of automorphisms S_3={s,r | s^2=r^3=1, srs=r^2} such that for any x\in L we have (x^s-x)+(x^s-x)^r+(x^s-x)^(r^2)=0. We describe the structure of finite dimensional Lie algebra with triality over a field of characteristic 0 and give applications of Lie algebras with triality to the theory of Malcev algebras.
dc.identifierhttps://arxiv.org/abs/math/0511177
dc.identifierhttp://arxiv.org/abs/math/0511177
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104819
dc.subjectRings and Algebras
dc.titleLie algebras with triality
dc.typetext

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