Chains of extended Jordanian twists for Lie superalgebras

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dc.creatorTolstoy, V. N.
dc.date2004-02-26
dc.date.accessioned2026-07-07T05:05:45Z
dc.date.available2026-07-07T05:05:45Z
dc.descriptionTwo type of superization of the Jordanian r-matrix for the Lie algebra sl(2) are considered. One type is associated with the Lie superalgebra sl(1|1) and another type is associated with the orthosymplectic Lie superalgebra osp(1|2). Extended Jordanian r-matrices of maximal order are obtained for the basic complex Lie superalgebras sl(m|n) and osp(M|2n), and a general procedure for construction of corresponding chains of extended Jordanian twists is given. We also find a relation between the extended Jordanian twist and automorphism which gives trivial coproduct for a subalgebra provided the subalgebra is a kernel of the cobracket for the corresponding r-matrix.
dc.descriptionLaTeX, 10 pages
dc.identifierhttps://arxiv.org/abs/math/0402433
dc.identifierhttp://arxiv.org/abs/math/0402433
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70288
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.titleChains of extended Jordanian twists for Lie superalgebras
dc.typetext

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