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@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} }

- Published 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