Multiparameter Quantum Deformations of Jordanian Type for Lie Superalgebras

Details Multiparameter Quantum Deformations of Jordanian Type for Lie Superalgebras Multiparameter Quantum Deformations of Jordanian Type for Lie Superalgebras

2007-01-03

arxiv.org/abs/math/0701079v1

Nankai Tracts in Mathematics "Differential Geometry and Physics" . Proc. of the 23-th Inter. Conf. of Diff. Geom. Methods in T

Mathematics

Quantum Algebra

9 pages

Scientific paper

We 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.

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