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Five-dimensional p-nilpotent restricted Lie algebras over algebraically closed fields of characteristic p > 3

Nicola MaletestaDipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Via Provinciale Lecce–Arnesano, 73100 Lecce, ItalySalvatore SicilianoDipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Via Provinciale Lecce–Arnesano, 73100 Lecce, Italy
2023en
ABI

Аннотация

A classification of p-nilpotent 5-dimensional restricted Lie algebras over algebraically closed fields of characteristic p>3 is provided. This is achieved by employing a natural restricted analogue of the known method by Skjelbred and Sund for classifying ordinary nilpotent Lie algebras as central extensions of Lie algebras of smaller dimension.

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