Infinite-dimensional Hamiltonian Lie superalgebras (Q989809)
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scientific article; zbMATH DE number 5774150
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinite-dimensional Hamiltonian Lie superalgebras |
scientific article; zbMATH DE number 5774150 |
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Infinite-dimensional Hamiltonian Lie superalgebras (English)
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23 August 2010
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For infinite-dimensional Hamiltonian Lie superalgebra \(H=H(m,n)\) over an algebraically closed field \(F\) of characteristic \(p>2\) it is proved that the standard maximal subalgebra \(H_0\) is invariant with respect to automorphisms of \(H\). The proof is based on the study of ad-nilpotent elements of \(H\) and subalgebras generated by ad-nilpotent elements.
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Hamiltonian superalgebra
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filtration
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automorphism
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