Cohomology spaces of low dimensional complex associative algebras
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 i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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A I P Publishing
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/61136/ http://psasir.upm.edu.my/id/eprint/61136/1/Cohomology%20spaces%20of%20low%20dimensional%20complex%20associative%20algebras.pdf |
| _version_ | 1848854347726716928 |
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| author | Mohammed, Nadia F. Isamiddin, Rakhimov Said Husain, Sharifah Kartini |
| author_facet | Mohammed, Nadia F. Isamiddin, Rakhimov Said Husain, Sharifah Kartini |
| author_sort | Mohammed, Nadia F. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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). |
| first_indexed | 2025-11-15T11:08:26Z |
| format | Article |
| id | upm-61136 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:08:26Z |
| publishDate | 2017 |
| publisher | A I P Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-611362022-03-08T03:10:16Z http://psasir.upm.edu.my/id/eprint/61136/ Cohomology spaces of low dimensional complex associative algebras Mohammed, Nadia F. Isamiddin, Rakhimov Said Husain, Sharifah Kartini 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). A I P Publishing 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/61136/1/Cohomology%20spaces%20of%20low%20dimensional%20complex%20associative%20algebras.pdf 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 https://aip.scitation.org/doi/abs/10.1063/1.4980980?journalCode=apc 10.1063/1.4980980 |
| spellingShingle | Mohammed, Nadia F. Isamiddin, Rakhimov Said Husain, Sharifah Kartini Cohomology spaces of low dimensional complex associative algebras |
| title | Cohomology spaces of low dimensional complex associative algebras |
| title_full | Cohomology spaces of low dimensional complex associative algebras |
| title_fullStr | Cohomology spaces of low dimensional complex associative algebras |
| title_full_unstemmed | Cohomology spaces of low dimensional complex associative algebras |
| title_short | Cohomology spaces of low dimensional complex associative algebras |
| title_sort | cohomology spaces of low dimensional complex associative algebras |
| url | http://psasir.upm.edu.my/id/eprint/61136/ http://psasir.upm.edu.my/id/eprint/61136/ http://psasir.upm.edu.my/id/eprint/61136/ http://psasir.upm.edu.my/id/eprint/61136/1/Cohomology%20spaces%20of%20low%20dimensional%20complex%20associative%20algebras.pdf |