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Integrable cocycles and global deformations of Lie algebra of type G2 in characteristic 2
Communications in Algebra. 2017. Vol. 45. No. 7. P. 2969–2977.
Chebochko N.G., Kuznetsov M. I.
All classes of integrable cocycles in H2(L,L) are obtained for Lie algebra of type G2 over an algebraically closed field of characteristic 2. It is proved that there exist only two orbits of classes of integrable cocycles with respect to automorphism group. The global deformation is shown to exist for any nontrivial class of integrable cocycles. These deformations are isomorphic to one of the two algebras of Cartan type, one of which being S(3:1,ω) while the other H(4:1,ω).
Keywords: группа автоморфизмовграссманианautomorphism group classical Lie algebra deformation field of characteristic 2 Grassmanian integrable cocycle Lie algebra cohomology Lie algebra of Cartan typeклассическая алгебра Лидеформация алгебры Липоле характеристики 2интегрируемый коциклкогомологии алгебры Лиалгебра Ли картановского типа
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