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