Highest Weight Categories For Number Rings

Details Highest Weight Categories For Number Rings Highest Weight Categories For Number Rings

2011-10-17

arxiv.org/abs/1110.3851v1

Mathematics

Representation Theory

47 Pages

Scientific paper

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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