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
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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
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Palabras clave: | Down–up algebra; Hochschild; Homology; Resolution |
Año: | 2018
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Volumen: | 498
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Página de inicio: | 102
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Página de fin: | 128
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DOI: |
http://dx.doi.org/10.1016/j.jalgebra.2017.11.026 |
Título revista: | Journal of Algebra
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Título revista abreviado: | J. Algebra
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ISSN: | 00218693
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CODEN: | JALGA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v498_n_p102_Chouhy |
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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