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arXiv · 0708.3329

Finite dimensional modules and perpendicular subcategories

Matthew Grime
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Abstract

We explain how, under some hypotheses, one can construct a sequence of finite dimensional $kG$-modules that lie in certain prescribed additive subcategories, but whose direct limits do not. We use these to show that many of the triangulated quotients of $\Mod$ are not generated, as triangulated categories, by the corresponding quotient of $\mod$ considered as a full subcategory.

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Matthew Grime. 2007-08-24. Finite dimensional modules and perpendicular subcategories. https://arxiv.org/abs/0708.3329

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