Highest weight categories for Dedekind domains

JOURNAL OF ALGEBRA

卷:387

Article

Pilkington, Annette

关键词: Highest weight category;    Dedekind domains;    Exact category;    Duality;    BGG reciprocity;    Ramification;   

DOI  :  10.1016/j.jalgebra.2013.03.029

来源: Elsevier

【 摘 要 】

This paper examines the concept of a stratified exact category in the context of Dedekind domains and corresponding finite 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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free