English

Representation of two by two matrices over perfect fields by a diagonal quadratic form

Number Theory 2020-04-20 v1

Abstract

Let F be a perfect field. Then the diagonal quadratic form aiXi2a_iX_i^2 over FF is universal over M2(F)M_2(F) if and only if atleast two of the aia_i are non-zero.

Keywords

Cite

@article{arxiv.2004.08232,
  title  = {Representation of two by two matrices over perfect fields by a diagonal quadratic form},
  author = {Murtuza Nullwala and Anuradha S. Garge},
  journal= {arXiv preprint arXiv:2004.08232},
  year   = {2020}
}
R2 v1 2026-06-23T14:55:14.637Z