An analog of the classical invariant theory for Lie superalgebras. I, II (Q5954591)
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scientific article; zbMATH DE number 1700902
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An analog of the classical invariant theory for Lie superalgebras. I, II |
scientific article; zbMATH DE number 1700902 |
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An analog of the classical invariant theory for Lie superalgebras. I, II (English)
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4 February 2002
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Lie superalgebra invariants
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invariant theory
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classical invariants
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The author considers matrix Lie superalgebras and their invariants over the complex field. Assume \(V\) is a finite dimensional super space, and \(g\) a Lie superalgebra contained in \(gl(V)\). A collection of invariants is basic if these invariants together with their polarizations generate the algebra of invariants for the given Lie superalgebra. NEWLINENEWLINENEWLINEThe author describes basic sets of invariants for the following superalgebras: \(gl(V)\); \(sl(V)\); the orthosymplectic superalgebra \(osp(V)\); the peryplectic and the special peryplectic ones \(pe(V)\), \(spe(V)\), among others of the classical Lie superalgebras.
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