Abstract
Let \(K\) be an algebraically closed field of arbitrary characteristic, and let \(\mathcal {C}\) be an essentially small abelian \(K\)-linear category. Here, \(\mathcal {C}\) is called essentially small if there is a set, not a class, of objects with the property that every object in \(\mathcal {C}\) is isomorphic to an object in this set.
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© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
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Lentner, S., Mierach, S.N., Schweigert, C., Sommerhäuser, Y. (2023). Tensor Categories. In: Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups I. SpringerBriefs in Mathematical Physics, vol 44. Springer, Singapore. https://doi.org/10.1007/978-981-19-4645-5_2
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DOI: https://doi.org/10.1007/978-981-19-4645-5_2
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