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arXiv · 2004.08232

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

Murtuza Nullwala·Anuradha S. Garge
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Abstract

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

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Murtuza Nullwala, Anuradha S. Garge. 2020-04-17. Representation of two by two matrices over perfect fields by a diagonal quadratic form. https://arxiv.org/abs/2004.08232

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