IUMJ

Title: Algebraic groups and compact generation of their derived categories of representations

Authors: Jack Hall and David Rydh

Issue: Volume 64 (2015), Issue 6, 1903-1923

Abstract:

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.