Graded multiple analogs of Lie algebras (Q1610242)
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scientific article; zbMATH DE number 1783462
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Graded multiple analogs of Lie algebras |
scientific article; zbMATH DE number 1783462 |
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Graded multiple analogs of Lie algebras (English)
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19 August 2002
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Graded analogs of \((n,k,r)\)-Lie algebras are introduced. General properties of the algebra are analysed in detail. Recently, the authors [Contemp. Math. 219, 273-287 (1998; Zbl 1074.17501)] gave a general construction of \((n,k,r)\)-Lie algebras which include as special cases Nambu-Lie algebras and Stasheff's sh-Lie algebras.
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Lie algebra
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Poisson manifold
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Jacobi identity
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Nambu mechanics
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