Elements of formal Lie theory and the Poincaré-Birkhoff-Witt theorem for generalized shift operators (Q1093712)
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scientific article; zbMATH DE number 4023521
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elements of formal Lie theory and the Poincaré-Birkhoff-Witt theorem for generalized shift operators |
scientific article; zbMATH DE number 4023521 |
Statements
Elements of formal Lie theory and the Poincaré-Birkhoff-Witt theorem for generalized shift operators (English)
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1986
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For a given generalized shift operator in the space of all power series a system of generators is constructed à la the Poincaré-Birkhoff-Witt basis of an enveloping algebra. A connection with Lie hyperalgebras is considered.
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quantum Yang-Baxter equation
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Lie S-algebras
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colored Lie algebras
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generalized shift operator
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generators
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Poincaré-Birkhoff-Witt basis
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enveloping algebra
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Lie hyperalgebras
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0.87274563
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0.8727258
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0.8726701
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0.8700372
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0.8699162
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