English

On degenerations of algebras over an arbitrary field

Rings and Algebras 2017-02-15 v2

Abstract

For each n2n\ge2 we classify all nn-dimensional algebras over an arbitrary infinite field which have the property that the nn-dimensional abelian Lie algebra is their only proper degeneration.

Keywords

Cite

@article{arxiv.1702.02647,
  title  = {On degenerations of algebras over an arbitrary field},
  author = {N. M. Ivanova and C. A. Pallikaros},
  journal= {arXiv preprint arXiv:1702.02647},
  year   = {2017}
}

Comments

We now complete the classification of all 'level one' algebras over an arbitrary field. Some new references have been added