Multiparameter Quantum Deformations of Jordanian Type for Lie Superalgebras

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dc.creatorTolstoy, V. N.
dc.date2007-01-03
dc.date.accessioned2026-07-07T07:38:23Z
dc.date.available2026-07-07T07:38:23Z
dc.descriptionWe discuss quantum deformations of Jordanian type for Lie superalgebras. These deformations are described by twisting functions with support from Borel subalgebras and they are multiparameter in the general case. The total twists are presented in explicit form for the Lie superalgebras sl(m|n) and osp(1|2n). We show also that the classical $r$-matrix for a light-cone deformation of D=4 super-Poincare algebra is of Jordanian type and a corresponding twist is given in explicit form.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0701079
dc.identifierhttp://arxiv.org/abs/math/0701079
dc.identifierNankai Tracts in Mathematics "Differential Geometry and Physics" . Proc. of the 23-th Inter. Conf. of Diff. Geom. Methods in Theor. Phys, (Tianjin, China, 20-26 Aug., 2005). Wold Sci., 2006, Vol. 10, 443-452
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121068
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectPrimary 81R50, Secondary 17B37
dc.titleMultiparameter Quantum Deformations of Jordanian Type for Lie Superalgebras
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