Global deformations of a Lie algebra of type $\bar{A_5}$

Abstract

It is shown that the orbits of the space of local deformations of theLie algebra Ā5 over an algebraically closed field K of characteristic 2 with respect to the automorphism group PGL(6) correspond to GL(V )-orbits of tri-vectors of a 6-dimensional space. For local deformations corresponding to tri-vectors of rank ρ < 6, integrability is proved and global deformations are constructed.