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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2005, Volume 2, Pages 200–203
(Mi semr43)
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Short communications
The orthogonal automorphism groups $\operatorname{Ortaut}A$ for $\mathbb Z_3$-orthograded quasimonocomposition algebras $A$ of dimension $9$ satisfying the conditions $\dim A_0=1$, $A_1A_2=0$
A. T. Gainov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
In [1], the author has found all orthogonal non-isomorphic $\mathbb Z_3$-orthograded quasimonocomposition algebras $A=A_0\oplus A_1\oplus A_2$ satisfying the conditions $\dim A=9$, $\dim A_0=1$, and $A_1A_2=0$. In this paper we construct their orthogonal automorphisms groups.
Received October 7, 2005, published October 18, 2005
Citation:
A. T. Gainov, “The orthogonal automorphism groups $\operatorname{Ortaut}A$ for $\mathbb Z_3$-orthograded quasimonocomposition algebras $A$ of dimension $9$ satisfying the conditions $\dim A_0=1$, $A_1A_2=0$”, Sib. Èlektron. Mat. Izv., 2 (2005), 200–203
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https://www.mathnet.ru/eng/semr43 https://www.mathnet.ru/eng/semr/v2/p200
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Abstract page: | 206 | Full-text PDF : | 57 | References: | 50 |
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