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Hodge Cycles, Motives, and Shimura Varieties, Vol. 900 (1981), pp. 101-228, doi:10.1007/978-3-540-38955-2_4 Key: citeulike:4859159
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In the first section it is shown how to introduce on an abstract category operations of tensor products and duals having properties similar to the familiar operations on the category Vec k of finite-dimensional vector spaces over a field k. What complicates this is the necessity of including enough constraints so that, whenever an obvious isomorphism (e.g., exists in Vec k, a unique isomorphism is constrained to exist also in the abstract setting.
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