Algebraic groups and compact generation of their derived categories of representations Jack HallDavid Rydh Primary 14F05secondary 13D0914A2018G10.Derived categoriesalgebraic stacks Let $k$ be a field. We characterize the group schemes $G$ over $k$, not necessarily affine, such that $\D_{\mathrm{qc}}(B_kG)$ is compactly generated. We also describe the algebraic stacks that have finite cohomological dimension in terms of their stabilizer groups. Indiana University Mathematics Journal 2015 text pdf 10.1512/iumj.2015.64.5719 10.1512/iumj.2015.64.5719 en Indiana Univ. Math. J. 64 (2015) 1903 - 1923 state-of-the-art mathematics http://iumj.org/access/