On classification of m-dimensional algebras
A constructive approach to the classification and invariance problems, with respect to basis changes, of the finite dimensional algebras is offered. A construction of an invariant open, dense (in the Zariski topology) subset of the space of structure constants of algebras is given. A classificati...
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| Format: | Proceeding Paper |
| Language: | English English English English |
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IOP Publishing
2017
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| Online Access: | http://irep.iium.edu.my/56421/ http://irep.iium.edu.my/56421/7/56421.pdf http://irep.iium.edu.my/56421/19/56421_On%20classification%20of%20m-dimensional%20algebras_SCOPUS.pdf http://irep.iium.edu.my/56421/20/56421_On%20classification%20of%20m-dimensional%20algebras.pdf http://irep.iium.edu.my/56421/31/56421%20On%20classification%20of%20m-dimensional%20algebras%20WOS.pdf |
| _version_ | 1848784734443798528 |
|---|---|
| author | Bekbaev, Ural |
| author_facet | Bekbaev, Ural |
| author_sort | Bekbaev, Ural |
| building | IIUM Repository |
| collection | Online Access |
| description | A constructive approach to the classification and invariance problems, with respect
to basis changes, of the finite dimensional algebras is offered. A construction of an invariant
open, dense (in the Zariski topology) subset of the space of structure constants of algebras
is given. A classification of all algebras with structure constants from this dense set is given
by providing canonical representatives of their orbits. A finite system of generators for the
corresponding field of invariant rational functions of structure constants is shown. |
| first_indexed | 2025-11-14T16:41:57Z |
| format | Proceeding Paper |
| id | iium-56421 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English English |
| last_indexed | 2025-11-14T16:41:57Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-564212019-08-18T06:24:15Z http://irep.iium.edu.my/56421/ On classification of m-dimensional algebras Bekbaev, Ural Q Science (General) QA Mathematics A constructive approach to the classification and invariance problems, with respect to basis changes, of the finite dimensional algebras is offered. A construction of an invariant open, dense (in the Zariski topology) subset of the space of structure constants of algebras is given. A classification of all algebras with structure constants from this dense set is given by providing canonical representatives of their orbits. A finite system of generators for the corresponding field of invariant rational functions of structure constants is shown. IOP Publishing 2017-04-03 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/56421/7/56421.pdf application/pdf en http://irep.iium.edu.my/56421/19/56421_On%20classification%20of%20m-dimensional%20algebras_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/56421/20/56421_On%20classification%20of%20m-dimensional%20algebras.pdf application/pdf en http://irep.iium.edu.my/56421/31/56421%20On%20classification%20of%20m-dimensional%20algebras%20WOS.pdf Bekbaev, Ural (2017) On classification of m-dimensional algebras. In: 37th International Conference on Quantum Probability and Related Topics (QP37) 2016, 22nd-26th August 2016, Kuantan, Pahang, Malaysia. http://iopscience.iop.org/article/10.1088/1742-6596/819/1/012012/pdf 10.1088/1742-6596/819/1/012012 |
| spellingShingle | Q Science (General) QA Mathematics Bekbaev, Ural On classification of m-dimensional algebras |
| title | On classification of m-dimensional algebras |
| title_full | On classification of m-dimensional algebras |
| title_fullStr | On classification of m-dimensional algebras |
| title_full_unstemmed | On classification of m-dimensional algebras |
| title_short | On classification of m-dimensional algebras |
| title_sort | on classification of m-dimensional algebras |
| topic | Q Science (General) QA Mathematics |
| url | http://irep.iium.edu.my/56421/ http://irep.iium.edu.my/56421/ http://irep.iium.edu.my/56421/ http://irep.iium.edu.my/56421/7/56421.pdf http://irep.iium.edu.my/56421/19/56421_On%20classification%20of%20m-dimensional%20algebras_SCOPUS.pdf http://irep.iium.edu.my/56421/20/56421_On%20classification%20of%20m-dimensional%20algebras.pdf http://irep.iium.edu.my/56421/31/56421%20On%20classification%20of%20m-dimensional%20algebras%20WOS.pdf |