Eight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivial
We classify, by means of the orthogonal group 𝒪7(ℝ), all eight-dimensional real absolute-valued algebras with left unit, and we solve the isomorphism problem. We give an example of those algebras which contain no four-dimensional subalgebras and characterise with the use of the automorphism group th...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120320538X |
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| _version_ | 1850176911343353856 |
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| author | A. Rochdi |
| author_facet | A. Rochdi |
| author_sort | A. Rochdi |
| collection | DOAJ |
| description | We classify, by means of the orthogonal group 𝒪7(ℝ), all eight-dimensional real absolute-valued
algebras with left unit, and we solve the isomorphism problem. We
give an example of those algebras which contain no
four-dimensional subalgebras and characterise with the use of the
automorphism group those algebras which contain one. |
| format | Article |
| id | doaj-art-af4dc0fed8e445c2a4e7a1957f928e9f |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-af4dc0fed8e445c2a4e7a1957f928e9f2025-08-20T02:19:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003704447445410.1155/S016117120320538XEight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivialA. Rochdi0Département de Mathématiques et Informatique, Faculté des Sciences, Université Hassan II, BP 7955, Casablanca, MoroccoWe classify, by means of the orthogonal group 𝒪7(ℝ), all eight-dimensional real absolute-valued algebras with left unit, and we solve the isomorphism problem. We give an example of those algebras which contain no four-dimensional subalgebras and characterise with the use of the automorphism group those algebras which contain one.http://dx.doi.org/10.1155/S016117120320538X |
| spellingShingle | A. Rochdi Eight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivial International Journal of Mathematics and Mathematical Sciences |
| title | Eight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivial |
| title_full | Eight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivial |
| title_fullStr | Eight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivial |
| title_full_unstemmed | Eight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivial |
| title_short | Eight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivial |
| title_sort | eight dimensional real absolute valued algebras with left unit whose automorphism group is trivial |
| url | http://dx.doi.org/10.1155/S016117120320538X |
| work_keys_str_mv | AT arochdi eightdimensionalrealabsolutevaluedalgebraswithleftunitwhoseautomorphismgroupistrivial |