On the cohomology of the Weyl algebra, the quantum plane, and the \(q\)-Weyl algebra. (Q392511)
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scientific article; zbMATH DE number 6244995
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the cohomology of the Weyl algebra, the quantum plane, and the \(q\)-Weyl algebra. |
scientific article; zbMATH DE number 6244995 |
Statements
On the cohomology of the Weyl algebra, the quantum plane, and the \(q\)-Weyl algebra. (English)
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14 January 2014
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Deformation theory of associative algebras is used for computations of the cohomology of a deformed algebra with coefficients in itself. These ideas are applied to a computation of cohomologies of Weyl algebras \(W_{qp}=k\langle x,y\rangle/(xy-qyx)\), \(W_q=k\langle x,y\rangle/(xy-qyx-1)\) which are deformations of a polynomial algebra in two variables.
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deformations
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cohomologies
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Weyl algebras
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0.9266356
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0.9245773
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0.9153355
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0.9093746
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0.8970425
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