The alternative Clifford algebra of a ternary quadratic form

Adam Chapman; Uzi Vishne

doi:10.1080/00927872.2019.1572178

The alternative Clifford algebra of a ternary quadratic form

Adam Chapman, Uzi Vishne

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	3987-3994
Number of pages	8
Journal	Communications in Algebra
Volume	47
Issue number	10
DOIs	https://doi.org/10.1080/00927872.2019.1572178
State	Published - 3 Oct 2019

Keywords

Alternative algebras
Clifford algebras
octonion algebras
quadratic forms

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1080/00927872.2019.1572178

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title = "The alternative Clifford algebra of a ternary quadratic form",

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.",

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author = "Adam Chapman and Uzi Vishne",

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AB - 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.

KW - Alternative algebras

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M3 - مقالة

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The alternative Clifford algebra of a ternary quadratic form

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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