Integrable cocycles and global deformations of Lie algebra of type G2 in characteristic 2

被引：7
|
作者：
Chebochko, N. G. [1 ]
Kuznetsov, M. I. [1 ]
机构：
[1] Nizhnii Novgorod State Univ, Dept Algebra Geometry & Discrete Math, Inst Informat Technol Math & Mech, Gagarin Ave,23 Bldg 6, Nizhnii Novgorod 603050, Russia
来源：
COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 07期
关键词：
Automorphism group; classical Lie algebra; deformation; field of characteristic 2; Grassmanian; integrable cocycle; Lie algebra cohomology; Lie algebra of Cartan type;
D O I：
10.1080/00927872.2016.1233241
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
All classes of integrable cocycles in H-2(L, L) are obtained for Lie algebra of type G(2) 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, omega) while the other H(4 : 1, omega).
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页码：2969 / 2977
页数：9
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