p-adic dimensions in symmetric tensor categories in characteristic p

To every object X of a symmetric tensor category over a field of characteristic p > 0 we attach p-adic integers Dim+(X) and Dim−(X) whose reduction modulo p is the categorical dimension dim(X) of X, coinciding with the usual dimension when X is a vector space. We study properties of Dim±(X), and...

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Bibliographic Details
Main Authors: Etingof, Pavel I, Harman, Nate, Ostrik, Victor
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: European Mathematical Publishing House 2020
Online Access:https://hdl.handle.net/1721.1/124324