Tannakian Categories Export

@incollection{DeligneMilne82TannakianCategories, abstract = {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.}, author = {Deligne, P. and Milne, J.}, citeulike-article-id = {4859159}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/978-3-540-38955-2_4}, citeulike-linkout-1 = {http://www.springerlink.com/content/32m781270831m623}, doi = {10.1007/978-3-540-38955-2_4}, journal = {Hodge Cycles, Motives, and Shimura Varieties}, keywords = {category\_theory, modules}, pages = {101--228}, posted-at = {2009-06-15 13:01:56}, priority = {2}, title = {Tannakian Categories}, url = {http://dx.doi.org/10.1007/978-3-540-38955-2_4}, year = {1981} }

TY - CHAP ID - DeligneMilne82TannakianCategories L3 - citeulike-article-id:4859159 N2 - 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. JF - Hodge Cycles, Motives, and Shimura Varieties EP - 228 TI - Tannakian Categories SP - 101 KW - category_theory KW - modules AU - Deligne, P AU - Milne, J PY - 1981/// UR - http://dx.doi.org/10.1007/978-3-540-38955-2_4 ER -