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arXiv · 1405.1890

Algebraic groups and compact generation of their derived categories of representations

Jack Hall·David Rydh
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Abstract

Let $k$ be a field. We characterize the group schemes $G$ over $k$, not necessarily affine, such that $\mathsf{D}_{\mathrm{qc}}(B_kG)$ is compactly generated. We also describe the algebraic stacks that have finite cohomological dimension in terms of their stabilizer groups.

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Jack Hall, David Rydh. 2015-12-03. Algebraic groups and compact generation of their derived categories of representations. https://doi.org/10.1512/iumj.2015.64.5719

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