Iterate Wronskians over ${\mathbb{R}}^d$ as $N$-ary brackets on $\mathbb{R}[x^1,\dots ,x^d]$: the $N$-bonacci numbers bound the highest total degrees

Markuss G. Kenins, Arthemy V. Kiselev

For the algebra $\mathbb{R}[x^1,\dots ,x^d]$ of polynomials in $d⩾1$ variables, regard the complete generalised Wronskian $W_d^k$ of differential order $k⩾1$ over…