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Cohomology spaces of low dimensional complex associative algebras


Mohammed, Nadia F. and Isamiddin, Rakhimov and Said Husain, Sharifah Kartini (2017) Cohomology spaces of low dimensional complex associative algebras. AIP Conference Proceedings, 1830 (1). ISSN 0094-243X; ESSN: 1551-7616


In this paper, we calculate cohomology groups of low-dimensional complex associative algebras. The calculations are based on a classification result and description of derivations of low-dimensional associative algebras obtained earlier. For the first cohomology group, we give basic cocycles up to inner derivations. We also provide basic coboundaries for the second cohomology groups for low-dimensional associative algebras (including both unital and non unital).

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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1063/1.4980980
Publisher: A I P Publishing
Keywords: Cohomology spaces; Low dimensional complex associative algebras; Basic cocycles
Depositing User: Ms. Nida Hidayati Ghazali
Date Deposited: 08 Mar 2022 03:10
Last Modified: 08 Mar 2022 03:10
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4980980
URI: http://psasir.upm.edu.my/id/eprint/61136
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