On the normally ordered tensor product and duality for Tate objects
Quantum Algebra
2023-02-24 v2 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.1709.07962,
title = {On the normally ordered tensor product and duality for Tate objects},
author = {Oliver Braunling and Michael Groechenig and Aron Heleodoro and Jesse Wolfson},
journal= {arXiv preprint arXiv:1709.07962},
year = {2023}
}
Comments
updated to reflect published version and corrigendum