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Local duality for representations of finite group schemes
- Part of
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- Journal:
- Compositio Mathematica / Volume 155 / Issue 2 / February 2019
- Published online by Cambridge University Press:
- 18 February 2019, pp. 424-453
- Print publication:
- February 2019
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- Article
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A duality theorem for the stable module category of representations of a finite group scheme is proved. One of its consequences is an analogue of Serre duality, and the existence of Auslander–Reiten triangles for the
$\mathfrak{p}$-local and 
$\mathfrak{p}$-torsion subcategories of the stable category, for each homogeneous prime ideal 
$\mathfrak{p}$ in the cohomology ring of the group scheme.
