Representations of n-Lie algebras

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dc.creatorDzhumadil'daev, A. S.
dc.date2002-02-05
dc.date.accessioned2026-07-07T04:46:19Z
dc.date.available2026-07-07T04:46:19Z
dc.descriptionLet $V_n=<e_1,...,e_{n+1}>$ be a vector products n-Lie algebra with n-Lie commutator $[e_1,...,\hat{e_i},...,e_{n+1}]=(-1)^ie_i$ over the field of complex numbers. Any finite-dimensional n-Lie $V_n$-module is completely reducible. Any finite-dimensional irreducible n-Lie $V_n$-module is isomorphic to a n-Lie extension of $so_{n+1}$-module with highest weight $tπ_1$ for some nonnegative integer t.
dc.description16 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0202041
dc.identifierhttp://arxiv.org/abs/math/0202041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63282
dc.subjectRepresentation Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subject17B10; 22E70
dc.titleRepresentations of n-Lie algebras
dc.typetext

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