English

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

Rings and Algebras 2020-01-07 v2

Abstract

It is shown that the orbits of the space of local deformations of the Lie algebra A5ˉ\bar{A_5} over an algebraically closed field KK of characteristic 2 with respect to the automorphism group PGL(6)\mathrm{PGL} (6) correspond to GL(V)\mathrm{GL} (V)-orbits of tri-vectors of a 6-dimensional space. For local deformations corresponding to tri-vectors of rank ρ<6\rho <6, integrability is proved and global deformations are constructed.

Keywords

Cite

@article{arxiv.1912.11694,
  title  = {Global deformations of a Lie algebra of type $\bar{A_5}$},
  author = {N. G. Chebochko and M. I. Kuznetsov},
  journal= {arXiv preprint arXiv:1912.11694},
  year   = {2020}
}