On the representation type of a finite tensor category
Open Access
- 19 October 2026
- journal article
- Published by MathDoc/Centre Mersenne in Annals of Representation Theory
- Vol. 3 (3) , 565-578
Abstract
Given an exact module category over a finite tensor category with finitely generated cohomology, we show that if there exists an object of complexity at least three, then the category is of wild representation type. In particular, if the Krull dimension of the cohomology ring of the finite tensor category is at least three, then this category is wild.Keywords
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