A class of Lie racks associated to symmetric Leibniz algebras
Hamid AbchirHassan II University, EST, B. P. 8012, 20100 Casablanca, MoroccoFatima-Ezzahrae AbidCadi Ayyad University, FST, BP 549 Marrakech, MoroccoMohamed BoucettaCadi Ayyad University, FST, BP 549 Marrakech, Morocco
2021en
ABI
Annotatsiya
We classify symmetric Leibniz algebras in dimensions 3 and 4 and we determine all associated Lie racks. Some of such Lie racks give rise to nontrivial topological quandles. We study some algebraic properties of these quandles and we give a necessary and sufficient condition for them to be quasi-trivial.
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