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Abstract:

We present a detailed computation of the cyclic and the Hochschild homology and cohomology of generic and 3-Calabi–Yau homogeneous down–up algebras. This family was defined by Benkart and Roby in [3] in their study of differential posets. Our calculations are completely explicit, by making use of the Koszul bimodule resolution and some arguments similar to those used in [13] to compute the Hochschild cohomology of Yang–Mills algebras. © 2017 Elsevier Inc.

Registro:

Documento: Artículo
Título:Hochschild homology and cohomology of down–up algebras
Autor:Chouhy, S.; Herscovich, E.; Solotar, A.
Filiación:IMAS, UBA-CONICET, Consejo Nacional de Investigaciones Científicas y Técnicas, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Institut Fourier, Université Grenoble Alpes, 100 rue des Maths, Gières, 38610, France
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Palabras clave:Down–up algebra; Hochschild; Homology; Resolution
Año:2018
Volumen:498
Página de inicio:102
Página de fin:128
DOI: http://dx.doi.org/10.1016/j.jalgebra.2017.11.026
Título revista:Journal of Algebra
Título revista abreviado:J. Algebra
ISSN:00218693
CODEN:JALGA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v498_n_p102_Chouhy

Referencias:

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Citas:

---------- APA ----------
Chouhy, S., Herscovich, E. & Solotar, A. (2018) . Hochschild homology and cohomology of down–up algebras. Journal of Algebra, 498, 102-128.
http://dx.doi.org/10.1016/j.jalgebra.2017.11.026
---------- CHICAGO ----------
Chouhy, S., Herscovich, E., Solotar, A. "Hochschild homology and cohomology of down–up algebras" . Journal of Algebra 498 (2018) : 102-128.
http://dx.doi.org/10.1016/j.jalgebra.2017.11.026
---------- MLA ----------
Chouhy, S., Herscovich, E., Solotar, A. "Hochschild homology and cohomology of down–up algebras" . Journal of Algebra, vol. 498, 2018, pp. 102-128.
http://dx.doi.org/10.1016/j.jalgebra.2017.11.026
---------- VANCOUVER ----------
Chouhy, S., Herscovich, E., Solotar, A. Hochschild homology and cohomology of down–up algebras. J. Algebra. 2018;498:102-128.
http://dx.doi.org/10.1016/j.jalgebra.2017.11.026