Alvis-Curtis Duality for Representations of Reductive Groups with Frobenius Maps

Junbin Dong

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arXiv · 1907.04515

Alvis-Curtis Duality for Representations of Reductive Groups with Frobenius Maps

Junbin Dong

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Abstract

We generalize the Alvis-Curtis duality to the abstract representations of reductive groups with Frobenius maps. Similar to the case of representations of finite reductive groups, we show that the Alvis-Curtis duality of infinite type which we define in this paper also interchanges the irreducible representations in the principal representation category.

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BibTeX RIS

Junbin Dong. 2019-07-10. Alvis-Curtis Duality for Representations of Reductive Groups with Frobenius Maps. https://arxiv.org/abs/1907.04515

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