49 research outputs found
On the normally ordered tensor product and duality for Tate objects
This paper generalizes the normally ordered tensor product from Tate vector
spaces to Tate objects over arbitrary exact categories. We show how to lift
bi-right exact monoidal structures, duality functors, and construct external
Homs. We list some applications: (1) Pontryagin duality uniquely extends to
n-Tate objects in locally compact abelian groups; (2) Adeles of a flag can be
written as ordered tensor products; (3) Intersection numbers can be interpreted
via these tensor products