Classical r-matrices of two and three dimensional Lie super-bialgebras and their Poisson-Lie supergroups

Details Classical r-matrices of two and three dimensional Lie super-bialgebras and their Poisson-Lie supergroups Classical r-matrices of two and three dimensional Lie super-bialgebras and their Poisson-Lie supergroups

2009-08-15

arxiv.org/abs/0908.2182v3

Physics

Mathematical Physics

21pages, 14 tables. Some of the formulae and tables have changed; one reference has added

Scientific paper

In this paper classical r-matrices of two and three dimensional Lie
super-bialgebras are obtained. In this manner, all two and three dimensional
coboundary Lie super-bialgebras and their types (triangular, quasi-triangular
or factorizable) are classified. Then, using the Sklyanin superbracket, the
super Poisson structures on the related Poisson-Lie supergroups are obtained.

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