# Testing Area

$T_a T_b = \frac{1}{2n}\delta_{ab}I_n + \frac{1}{2}\sum_{c=1}^{n^2 -1}{(if_{abc} + d_{abc}) T_c} \,$
$H^k(X, \mathbf{C}) = \bigoplus_{p+q=k} H^{p,q}(X),$
• There exists a constant $E\in (0,\infty)$ such that $\int_{\mathbb{T}^3} \vert \mathbf{v}(x,t)\vert dx <E$ for all $t\ge 0\,.$