Darijani, Iren (2015) The classification of [p]-nilpotent restricted Lie algebras of dimension 5. Masters thesis, Memorial University of Newfoundland.
- Accepted Version
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In this thesis, we will classify p-nilpotent restricted Lie algebras of dimension 5. Any finite dimensional p-nilpotent restricted Lie algebras is nilpotent by Engel’s theorem. Therefore, we use as our starting point, the classification of nilpotent Lie algebras of dimension 5 and classify the possible equivalence classes of p-maps on these Lie algebras. We first explain the method that we used to classify p-nilpotent restricted Lie algebras of dimension 5 which is the analogue of Skjelbred-Sund method for classifying nilpotent Lie algebras. Then, we will give a complete classification of p-nilpotent restricted Lie algebras of dimension 5 over perfect fields of characteristic p > 5.
|Item Type:||Thesis (Masters)|
|Additional Information:||Includes bibliographical references (pages 256-257).|
|Keywords:||classnilreslie, eng, may, mch, idar, Msc|
|Department(s):||Science, Faculty of > Mathematics and Statistics|
|Library of Congress Subject Heading:||Infinite dimensional Lie algebras; Nilpotent Lie groups; Isomorphisms (Mathematics)|
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