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Quaternary binary trilinear forms

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The document discusses the extension of binary forms of norm unity to quaternary binary trilinear forms, particularly focusing on quaternion algebra. It outlines the author's journey in understanding and correcting previous work, introduces notation and definitions related to trilinear forms, and explores their properties, including norms and associated bilinear forms. The main results include conditions for the norm of these forms to be less than or equal to one, framed in terms of non-commutative polynomials. The document concludes with reflections on potential future research directions.

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