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The Existence of Fiber Functors

  • Alexander L. Rosenberg
Part of the Gelfand Mathematical Seminars book series (GMS)

Abstract

This paper contains a short proof of Deligne’s theorem on inner characterization of Tannakian categories. The proof was given at Kazhdan’s lecture course on topological and conformai field theories at Harvard during the 1990/1991 academic year.

AMS Subject Classification

17Bxx 

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References

  1. [D]
    P. Deligne, Catégories Tannakiennes, Grothendieck Festschrift, v. II, Birkhäuser, 1990.Google Scholar
  2. [DM]
    P. Deligne and J. S. Milne, Tannakien Categories in Hodge Cycles, Motives, and Shimura Varieties, LNM 900, Springer Verlag, 1982, pp. 101–228.Google Scholar
  3. [M]
    S. MacLane, Categories for the Working Mathematicians, Graduate Texts in Mathematics 5, Springer Verlag, 1971.Google Scholar
  4. [S]
    S. Saavedra, Catégories Tannakiennes, LNM 265, Springer-Verlag, 1972.Google Scholar

Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Alexander L. Rosenberg
    • 1
  1. 1.Department of MathematicsKansas State UniversityManhattanUSA

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