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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |