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The algebraic classification of nilpotent Tortkara algebras
Authors:Ilya Gorshkov  Mykola Khrypchenko
Institution:1. Sobolev Institute of Mathematics, Novosibirsk, Russia;2. Siberian Federal University, Krasnoyarks, Russia;3. CMCC, Universidade Federal do ABC, Santo André, Brazil;4. Departamento de Matemática, Universidade Federal de Santa Catarina, Florianópolis, Brazil
Abstract:Abstract

We classify all complex 6-dimensional nilpotent Tortkara algebras.

Communicated by Alberto Facchini
Keywords:Algebraic classification  central extension  Lie algebra  Malcev algebra  Nilpotent algebra  Tortkara algebra
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