pdf (first posted 13.05.11, 72 pages; latest version 15.08.12 minor corrections).
This is a
corrected TeXed version of the article "Deligne, P., and
Milne, J.S., Tannakian Categories, in Hodge Cycles, Motives, and Shimura
Varieties, LNM 900, 1982, pp. 101-228". The numbering is
unchanged from the original. Significant changes to the text have been noted
in the footnotes. All footnotes have been added by the second author. First
posted on the web May 13, 2011.
- Tensor categories.
- Neutral Tannakian categories.
- Fibre functors; the general notion of a Tannakian category.
- Graded Tannakian categories.
- Motives for absolute Hodge cycles
Appendix: Terminology from nonabelian cohomology.