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arXiv · 2211.10037

Tensor ideals for quantum groups via minimal tilting complexes

Jonathan Gruber
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Abstract

We use minimal tilting complexes to construct an explicit bijection between the set of thick tensor ideals with the two-out-of-three property in the category of finite-dimensional modules over a quantum group at a root of unity and the set of thick tensor ideals in the subcategory of tilting modules. We also explain why the analogous construction for rational representations of a reductive algebraic group over a field of positive characteristic does not give rise to a bijection.

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Jonathan Gruber. 2022-11-18. Tensor ideals for quantum groups via minimal tilting complexes. https://arxiv.org/abs/2211.10037

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