This work completes the classification of ten-dimensional Lie algebras with a semi-simple factor, indicating significant advancement in the field.
Turkowski has classified Lie algebras that have a non-trivial Levi decomposition of dimension up to and including nine. In this work the program is continued and completes the classification of the corresponding Lie algebras in dimension ten, for which the semi-simple factor is , which will serve as the nilradical of the Levi decomposition algebra . Two key tools used in obtaining the classification are, the
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Bandara et al. (2024) studied this question.
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