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Graded and filtered fiber functors on Tannakian categories

Part of: Categories with structure

Published online by Cambridge University Press:  20 December 2013

Paul Ziegler
Paul Ziegler*
Affiliation:
Dept. of Mathematics, ETH Zürich CH-8092 Zürich, Switzerland (paul.ziegler@math.ethz.ch)
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Abstract

We study fiber functors on Tannakian categories which are equipped with a grading or a filtration. Our goal is to give a comprehensive set of foundational results about such functors. A main result is that each filtration on a fiber functor can be split by a grading fpqc-locally on the base scheme.

Keywords

tannakian categoriesfiber functors

MSC classification

Secondary: 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 14 , Issue 1 , January 2015 , pp. 87 - 130
Copyright
©Cambridge University Press 2013 

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