Support varieties for finite tensor categories: Complexity, realization, and connectedness
نویسندگان
چکیده
We advance support variety theory for finite tensor categories. First we show that the dimension of an object equals rate growth a minimal projective resolution as measured by Frobenius-Perron dimension. Then every conical subvariety unit may be realized object. Finally, indecomposable is connected.
منابع مشابه
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2021
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2021.106705