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Moscow Mathematical Journal, 2002, Volume 2, Number 2, Pages 227–248
DOI: https://doi.org/10.17323/1609-4514-2002-2-2-227-248 (Mi mmj54) 		 
This article is cited in 141 scientific papers (total in 141 papers)

Catégories tensorielles

P. Deligne

Institute for Advanced Study, School of Mathematics
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DOI: https://doi.org/10.17323/1609-4514-2002-2-2-227-248
Abstract: We give a super mathematics analogue to the theorem that, over an algebraically closed field of characteristic zero, categories of representations of affine group schemes, with their associative, commutative and unital tensor product, are characterized by the property that for any object large enough exterior powers vanish. Exterior powers are replaced by arbitrary Schur functors.
Key words and phrases: Tensor category, Tannaka duality, fiber functor, super group.
Received: February 24, 2002
Bibliographic databases:
MSC: Primary 18D99; Secondary 20C99
Language: English
Citation: P. Deligne, “Catégories tensorielles”, Mosc. Math. J., 2:2 (2002), 227–248
Citation in format AMSBIB
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\by P.~Deligne
\paper Cat\'egories tensorielles
\jour Mosc. Math.~J.
\yr 2002
\vol 2
\issue 2
\pages 227--248
\mathnet{http://mi.mathnet.ru/mmj54}
\crossref{https://doi.org/10.17323/1609-4514-2002-2-2-227-248}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1944506}
\zmath{https://zbmath.org/?q=an:1005.18009}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208593400003}
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    • This publication is cited in the following 141 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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