How is the trace pairing function $(x,y) \mapsto Tr(xy)$ on a number field an analogue of the dot product in euclidean space?
(This is a view shared by Keith Conrad and can be found in his notes Discriminants... and The Different Ideal)
How is the trace pairing function $(x,y) \mapsto Tr(xy)$ on a number field an analogue of the dot product in euclidean space?
(This is a view shared by Keith Conrad and can be found in his notes Discriminants... and The Different Ideal)