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arXiv · 1209.1172

Kostka systems and exotic t-structures for reflection groups

Pramod N. Achar
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Abstract

Let W be a complex reflection group, acting on a complex vector space H. Kato has recently introduced the notion of a "Kostka system," which is a certain collection of finite-dimensional W-equivariant modules for the symmetric algebra on H. In this paper, we show that Kostka systems can be used to construct "exotic" t-structures on the derived category of finite-dimensional modules, and we prove a derived-equivalence result for these t-structures.

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Pramod N. Achar. 2013-04-16. Kostka systems and exotic t-structures for reflection groups. https://arxiv.org/abs/1209.1172

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