Support varieties without the tensor product property

2023/08/10 by Bergh, Petter Andreas, Plavnik, Julia Yael, Witherspoon, Sarah · 2 citations
#16E40 #16T05 #18M05 #18M15 #FOS: Mathematics #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2308.05687

Abstract

We show that over a perfect field, every non-semisimple finite tensor category with finitely generated cohomology embeds into a larger such category where the tensor product property does not hold for support varieties.

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• Re-framing the classification of ideals in noncommutative tensor-triangular geometry
• On the representation type of a finite tensor category

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