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arXiv · 1110.3851

Highest Weight Categories For Number Rings

Annette Pilkington
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Abstract

This paper examines the concept of a stratified exact category in the context of number rings and corresponding Galois groups. BGG reciprocity and duality are proven for these categories making them highest weight categories. The strong connections between the structure of the category and ramification in the ring are explored.

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Annette Pilkington. 2011-10-17. Highest Weight Categories For Number Rings. https://arxiv.org/abs/1110.3851

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