Cohomology groups of infinite dimensional algebras (Q1098923)
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scientific article; zbMATH DE number 4038048
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cohomology groups of infinite dimensional algebras |
scientific article; zbMATH DE number 4038048 |
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Cohomology groups of infinite dimensional algebras (English)
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1988
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This paper establishes sufficient conditions for the vanishing of the cohomology groups H n(A,M) of an associative algebra A with coefficients in a bimodule M. The techniques employed rest on infinite root space decompositions and afford applications to the theories of restricted Lie algebras and Kac-Moody algebras.
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weight modules
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vanishing of the cohomology groups
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associative algebra
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infinite root space decompositions
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restricted Lie algebras
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Kac-Moody algebras
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