Classification of four and six dimensional Drinfel'd superdoubles

2009/11/30 by A. Eghbali, A. Rezaei-Aghdam, F. Heidarpour
Physics and Astronomy · Mathematics · #math-ph #math.MP

paper · pdf · doi:10.1063/1.3467787

published as J. Math. Phys.51:103503, 2010 · 28 pages, 7 tables

arxiv created 2011/02/22 · arxiv updated 2015/05/14

Abstract

Using adjoint representation we firstly classify two and three dimensional Lie super-bialgebras obtain from decomposable Lie superalgebras. In this way we complete the classification obtained by Eghbali et al., [J. Math. Phys. 51, 073503 (2010); e-print arXiv:0901.4471 [math-ph]]. Then we classify all four and six dimensional Drinfel'd superdoubles.

Citations

• Classification of two and three dimensional Lie superbialgebras