Hypo Lie algebras and their representations (Q2878042)
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scientific article; zbMATH DE number 6335429
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hypo Lie algebras and their representations |
scientific article; zbMATH DE number 6335429 |
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28 August 2014
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modular representation
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Lie algebra module
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Hypo Lie algebras and their representations (English)
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Lee's bases and Park's Lie algebras have been defined in [\textit{C. Kim} et al., Pragmatic algebra. Delhi: SAS International Publications, 21--38 (2006; Zbl 1099.17009)]. By a hypo-Lie algebra \(H\) of a simple Lie algebra \(L\) is meant a sub-Lie algebra \(H\) of \(L\) which also becomes a Park's Lie algebra. The author gives an example of a hypo-Lie algebra over an algebraic closed field of char \(p\geq 7\) and computes the dimensions of irreducible modules over a certain hypo-Lie algebra.
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