Hochschild and Cyclic Homology of Ore Extensions and Some Examples of Quantum Algebras |
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| Authors: | Jorge A Guccione and Juan J Guccione |
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| Institution: | (1) Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Pabellón I – Ciudad Universitaria, (, 1428) Buenos Aires, Argentina |
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| Abstract: | For every Ore extension we construct a chain complex giving its Hochschild homology. As an application we compute the Hochschild and cyclic homology of an arbitrary multiparametric affine space and the Hochschild homology of the algebra of differential operators over this space, in the generic case. |
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| Keywords: | Hochschild homology cyclic homology Ore extensions quantum groups |
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