Integrable cocycles and global deformations of Lie algebra of type G2 in characteristic 2 |
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| Authors: | N G Chebochko |
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| Institution: | Department of Algebra, Geometry and Discrete Mathematics, Institute of Information Technology, Mathematics and Mechanics, Nizhni Novgorod State University, Nizhni Novgorod, Russian Federation |
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| Abstract: | 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). |
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| Keywords: | Automorphism group classical Lie algebra deformation field of characteristic 2 Grassmanian integrable cocycle Lie algebra cohomology Lie algebra of Cartan type |
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