Catégories Tannakiennes

This entry is about Pierre Deligne’s article

on Tannakian categories

The main theorem is a Tannakian reconstruction theorem, which repairs a problem in the book

  • N. Saavedra Rivano, Catégories Tannakiennes, Springer LNM 265, 1972

which had a substantial gap in the proof of the main theorem.

At the end of the article there is an application to the differential Galois theory (which has been earlier much studied by A. R. Magid) which is the Galois theory for differential rather than algebraic equations.

The article had a huge influence not only in Tannakian theory but also in creating more technical exchange between the modern algebraic geometry with category theory and bi(al)gebras.

A followup is

  • Pierre Deligne, Catégorie Tensorielle, Moscow Math. Journal 2 (2002) no. 2, 227-248. (pdf)

see at Deligne's theorem on tensor categories.

See also:

category: reference

Revised on August 19, 2016 11:39:37 by Urs Schreiber (