Hochschild (Co)Homology of Differential Operator Rings

Guccione, Jorge Alberto et al · Academic Press Inc Elsevier Science · 2001

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Author / responsible party

Guccione, Jorge Alberto et al

Publisher

Academic Press Inc Elsevier Science

Year

2001

ISSN

0021-8693

ISSN

0021-8693

Language

English

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We show that the Hochschild homology of a differential operator kalgebra E = A#f U(g), is the homology of a deformation of the Chevalley-Eilenberg complex of g with coefficients in (M ⊗A^-∗, b∗). Moreover, when A is smooth and k is a characteristic zero field, we obtain a type of Hochschild-Kostant-Rosenberg theorem for these algebras. When A = k our complex reduce to the one obtained in [K] for the homology of filtrated algebras whose associated graded algebras are symmetric algebras. In the last section we give similar results for the cohomology. Fil: Guccione, Jorge Alberto. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Guccione, Juan Jose. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina

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APA 7

Guccione, J. A. E. A. (2001). Hochschild (Co)Homology of Differential Operator Rings. http://hdl.handle.net/11336/110409

MLA

Guccione, Jorge Alberto et al. "Hochschild (Co)Homology of Differential Operator Rings." 2001. http://hdl.handle.net/11336/110409.

Chicago

Guccione, Jorge Alberto et al. 2001. "Hochschild (Co)Homology of Differential Operator Rings.". http://hdl.handle.net/11336/110409.

Harvard

Guccione, J. A. E. A. 2001, Hochschild (Co)Homology of Differential Operator Rings, Academic Press Inc Elsevier Science, available at: http://hdl.handle.net/11336/110409 [Accessed 10 Aug. 2026].

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Title: Hochschild (Co)Homology of Differential Operator Rings

Author / contributors: Guccione, Jorge Alberto et al

Publisher: Academic Press Inc Elsevier Science

Publication year: 2001

ISSN: 0021-8693

ISSN: 0021-8693

Language: English

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https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1