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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 5, Pages 1139–1146
(Mi smj920)
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This article is cited in 4 scientific papers (total in 4 papers)
Irreducible binary $(-1,1)$-bimodules over simple finite-dimensional algebras
S. V. Pchelintsev Finance Academy under the Government of the Russian Federation
Abstract:
We prove that an irreducible binary $(-1,1)$-bimodule over $A$ is alternative in the following cases: (a) $A$ is a composition algebra over a field of characteristic other than 2 and 3; (b) $A$ is a simple finite-dimensional alternative algebra over a field of characteristic 0.
Keywords:
irreducible bimodule, binary $(-1,1)$-algebra, composition algebra, simple alternative algebra.
Received: 17.05.2005
Citation:
S. V. Pchelintsev, “Irreducible binary $(-1,1)$-bimodules over simple finite-dimensional algebras”, Sibirsk. Mat. Zh., 47:5 (2006), 1139–1146; Siberian Math. J., 47:5 (2006), 934–939
Linking options:
https://www.mathnet.ru/eng/smj920 https://www.mathnet.ru/eng/smj/v47/i5/p1139
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Abstract page: | 248 | Full-text PDF : | 82 | References: | 60 |
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