Multilinear quantum Lie operations

dc.creatorKharchenko, V. K.
dc.date2001-05-12
dc.date.accessioned2026-07-07T04:41:41Z
dc.date.available2026-07-07T04:41:41Z
dc.descriptionIt is shown that the dimension of the multilinear quantum Lie operations space is either equal to zero or included between $(n-2)!$ and $(n-1)!.$ The lower bound is achieved if the intersection of all conforming subsets is nonempty, while the upper bound does if all subsets are conforming. We show that almost always the quantum Lie operations space is generated by symmetric ones. In particular, the space of all general $n$-linear quantum Lie operations does. All possible exceptions are described.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0105106
dc.identifierhttp://arxiv.org/abs/math/0105106
dc.identifierZap. Nauchn. Sem. S.-Petersburg. Otdel. POMI, 272(2000), Vopr. Teor. Predst. Algebr. i Grupp. 7, 321-340, 351
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61460
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject16W35; 17B37
dc.titleMultilinear quantum Lie operations
dc.typetext

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