Hochschild homology and cohomology of down–up algebras
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 th...
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Academic Press Inc.
2018
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| LEADER | 06174caa a22007097a 4500 | ||
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| 001 | PAPER-17064 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518204811.0 | ||
| 008 | 190410s2018 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-85035314673 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a JALGA | ||
| 100 | 1 | |a Chouhy, S. | |
| 245 | 1 | 0 | |a Hochschild homology and cohomology of down–up algebras |
| 260 | |b Academic Press Inc. |c 2018 | ||
| 270 | 1 | 0 | |m Herscovich, E.; Institut Fourier, Université Grenoble Alpes, 100 rue des Maths, France; email: Estanislao.Herscovich@univ-grenoble-alpes.fr |
| 506 | |2 openaire |e Política editorial | ||
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| 520 | 3 | |a 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. |l eng | |
| 593 | |a IMAS, UBA-CONICET, Consejo Nacional de Investigaciones Científicas y Técnicas, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina | ||
| 593 | |a Institut Fourier, Université Grenoble Alpes, 100 rue des Maths, Gières, 38610, France | ||
| 593 | |a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina | ||
| 690 | 1 | 0 | |a DOWN–UP ALGEBRA |
| 690 | 1 | 0 | |a HOCHSCHILD |
| 690 | 1 | 0 | |a HOMOLOGY |
| 690 | 1 | 0 | |a RESOLUTION |
| 700 | 1 | |a Herscovich, E. | |
| 700 | 1 | |a Solotar, A. | |
| 773 | 0 | |d Academic Press Inc., 2018 |g v. 498 |h pp. 102-128 |p J. Algebra |x 00218693 |w (AR-BaUEN)CENRE-221 |t Journal of Algebra | |
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| 856 | 4 | 0 | |u https://doi.org/10.1016/j.jalgebra.2017.11.026 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_00218693_v498_n_p102_Chouhy |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v498_n_p102_Chouhy |y Registro en la Biblioteca Digital |
| 961 | |a paper_00218693_v498_n_p102_Chouhy |b paper |c PE | ||
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