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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2005, Volume 2, Pages 200–203 (Mi semr43)  

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
References:
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
Bibliographic databases:
Document Type: Article
UDC: 512.554
MSC: 16P10, 16W20
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Gai05}
\by A.~T.~Gainov
\paper The orthogonal automorphism groups $\operatorname{Ortaut}A$ for $\mathbb Z_3$-orthograded quasimonocomposition algebras~$A$ of dimension~$9$ satisfying the conditions $\dim A_0=1$, $A_1A_2=0$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2005
\vol 2
\pages 200--203
\mathnet{http://mi.mathnet.ru/semr43}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2177996}
\zmath{https://zbmath.org/?q=an:1096.17002}
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