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The alternative Clifford algebra of a ternary quadratic form |
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| Authors: | Adam Chapman Uzi Vishne |
| Institution: | 1. Department of Computer Science, Tel-Hai College, Upper Galilee, Israel;2. adam1chapman@yahoo.com;4. Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel |
| Abstract: | We prove that the alternative Clifford algebra of a nondegenerate ternary quadratic form is an octonion ring whose center is the ring of polynomials in one variable over the field of definition. |
| Keywords: | Alternative algebras Clifford algebras octonion algebras quadratic forms |