2 problems

Stable Brauer–Thrall II' conjecture. There exist $\bd\in K_0(A)^+$ and $\theta\in\K_0(A)^*$ such that

The $\tau$-reduced Brauer–Thrall II' conjecture. There exist $\bd\in\K_0(A)^+$ and a generically indecomposable $\cZ\in\Irr^\tau(A,\bd)$ such that