English

The Alternative Clifford Algebra of a Ternary Quadratic Form

Rings and Algebras 2019-01-15 v3

Abstract

We prove that the alternative Clifford algebra of a nondegenerate ternary quadratic form is an octonion algebra over the ring of polynomials in one variable over the field of definition.

Keywords

Cite

@article{arxiv.1804.04379,
  title  = {The Alternative Clifford Algebra of a Ternary Quadratic Form},
  author = {Adam Chapman and Uzi Vishne},
  journal= {arXiv preprint arXiv:1804.04379},
  year   = {2019}
}