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Skew-symmetric identities of octonions |
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| Authors: | Ivan Shestakov Natalia Zhukavets |
| Affiliation: | a Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, Brazil b Sobolev Institute of Mathematics, Novosibirsk, Russia c Faculty of Electrical Engineering, Czech Technical University in Prague, Czech Republic |
| Abstract: | Quadratic alternative superalgebras are introduced and their super-identities and central functions on one odd generator are described. As a corollary, all multilinear skew-symmetric identities and central polynomials of octonions are classified. |
| Keywords: | Primary, 17D05, 17A45 secondary, 17A70, 17A75 |
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