# On the Quadratic Cone of $\mathbb{R}_3.$

@inproceedings{Bisi2021OnTQ, title={On the Quadratic Cone of \$\mathbb\{R\}\_3.\$}, author={Cinzia Bisi and Antonino De Martino}, year={2021} }

In this paper we study the following type of functions f : QR3 → R3, where QR3 is the quadratic cone of the algebra R3. From the fact that it is possible to write the algebra R3 as a direct sum of quaternions, we get the observation that it is possible to find a clever representation for QR3 . By using this result a slice regular theory was introduced and a Cauchy formula is discussed. Moreover, a detailed study of the zeros is performed. Finally, we find a formula for the determinant of a…

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