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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.

Registro:

Documento: Artículo
Título:Hochschild and Cyclic Homology of Ore Extensions and Some Examples of Quantum Algebras
Autor:Guccione, J.A.; Guccione, J.J.
Filiación:Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Pabellón 1 - Cd. Univ., (1428) Buenos Aires, Argentina
Palabras clave:Cyclic homology; Hochschild homology; Ore extensions; Quantum groups
Año:1997
Volumen:12
Número:3
Página de inicio:259
Página de fin:276
DOI: http://dx.doi.org/10.1023/A:1007795614311
Título revista:K-Theory
Título revista abreviado:K-Theory
ISSN:09203036
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09203036_v12_n3_p259_Guccione

Referencias:

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Citas:

---------- APA ----------
Guccione, J.A. & Guccione, J.J. (1997) . Hochschild and Cyclic Homology of Ore Extensions and Some Examples of Quantum Algebras. K-Theory, 12(3), 259-276.
http://dx.doi.org/10.1023/A:1007795614311
---------- CHICAGO ----------
Guccione, J.A., Guccione, J.J. "Hochschild and Cyclic Homology of Ore Extensions and Some Examples of Quantum Algebras" . K-Theory 12, no. 3 (1997) : 259-276.
http://dx.doi.org/10.1023/A:1007795614311
---------- MLA ----------
Guccione, J.A., Guccione, J.J. "Hochschild and Cyclic Homology of Ore Extensions and Some Examples of Quantum Algebras" . K-Theory, vol. 12, no. 3, 1997, pp. 259-276.
http://dx.doi.org/10.1023/A:1007795614311
---------- VANCOUVER ----------
Guccione, J.A., Guccione, J.J. Hochschild and Cyclic Homology of Ore Extensions and Some Examples of Quantum Algebras. K-Theory. 1997;12(3):259-276.
http://dx.doi.org/10.1023/A:1007795614311