Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I've heard this result referenced a few times on MO now. It is supposed to be a theorem of Deligne that gives some natural conditions under which an (abelian?) tensor category $C$ is the category of representations of a Lie superalgebra, or perhaps an affine supergroup scheme. However, Deligne's original paper is in French, which I can't read, and I have not been able to find in English even a statement of this theorem. Can anyone help me out?

(Motivation: I want to verify the conditions for categories of bounded chain complexes.)

share|cite|improve this question
Why not do this: – Damien Aug 11 '11 at 4:58
I was wondering if you couldn’t give the complete reference of the original article. (And if possible a link.) – Pierre-Yves Gaillard Aug 11 '11 at 5:27
@Qiaochu: Why not cite the French paper if you know it? Someone here might be kind enough to translate the relevant bit. – Zhen Lin Aug 11 '11 at 5:27
Well, I don't know how to interpret the whole super-thing and how to produce an appropriate fiber functor on the category of bounded chain complexes, but the notes by Breen on Tannakian categories look pretty decent. – t.b. Aug 11 '11 at 9:28
Here is the original article: – Aug 11 '11 at 11:08
up vote 5 down vote accepted

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.