Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras

@inproceedings{Futorny2017WildnessOT,
  title={Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras},
  author={Vyacheslav Futorny and Tetiana Klymchuk and Anatolii P. Petravchuk and Vladimir V. Sergeichuk},
  year={2017}
}
For each two-dimensional vector space V of commuting nˆn matrices over a field F with at least 3 elements, we denote by r V the vector space of all pn`1qˆ pn` 1q matrices of the form r A ̊ 0 0 s with A P V . We prove the wildness of the problem of classifying Lie algebras r V with the bracket operation ru, vs :“ uv ́ vu. We also prove the wildness of the… CONTINUE READING