Bricks and $\tau$-tilting theory under base field extensions

Erlend D. Børve, Eric J. Hanson, Maximilian Kaipel

Let $K:k$ be a field extension and let $\Lambda$ be a finite-dimensional $k$-algebra. We investigate the relationship between $\Lambda$ and ${\Lambda }_K=\Lambda {\otimes }_{k}K$ with particular emphasis on var…