Comptes Rendus
Algebra
The structure of certain rigid tensor categories
[La structure de certaines catégories tensorielles rigides]
Comptes Rendus. Mathématique, Volume 340 (2005) no. 8, pp. 557-562.

Nous considérons des catégories tensorielles rigides sur un corps de caractéristique nulle dans lesquelles une puissance extérieure convenable de chaque objet est nulle.

We consider rigid tensor categories over a field of characteristic zero in which some exterior power of each object is zero.

Reçu le :
Accepté le :
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DOI : 10.1016/j.crma.2005.03.018
Peter O'Sullivan 1

1 School of Mathematics and Statistics F07, University of Sydney NSW 2006, Australia
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Peter O'Sullivan. The structure of certain rigid tensor categories. Comptes Rendus. Mathématique, Volume 340 (2005) no. 8, pp. 557-562. doi : 10.1016/j.crma.2005.03.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.03.018/

[1] Y. André; B. Kahn Nilpotence, radicaux et structures monoïdales, Rend. Sem. Mat. Univ. Padova, Volume 108 (2002), pp. 107-291

[2] M. Artin; A. Grothendieck; J.-L. Verdier Théorie des topos et cohomologie étale des schémas, Lecture Notes in Math., vols. 269, 270 and 305, Springer-Verlag, 1972–1973

[3] P. Deligne Catégories tannakiennes, The Grothendieck Festschrift, vol. 2, Progr. Math., vol. 87, Birkhäuser, 1990, pp. 111-198

[4] P. Deligne; J. Milne Tannakian categories, Hodge Cycles, Motives, and Shimura Varieties, Lecture Notes in Math., vol. 900, Springer-Verlag, Berlin, 1982, pp. 101-228

[5] W. Fulton; J. Harris Representation Theory, Graduate Texts in Math., vol. 129, Springer-Verlag, Berlin, 1991

[6] D. Luna Slices étales, Bull. Soc. Mat. France Mémoire, Volume 33 (1973), pp. 81-105

[7] A.R. Magid Equivariant completions of rings with reductive group action, J. Pure Appl. Algebra, Volume 49 (1987), pp. 173-185

[8] V.L. Popov; E.B. Vinberg Invariant theory, Algebraic Geometry IV, Encycl. Math. Sci., vol. 55, Springer-Verlag, 1994, pp. 123-284

[9] O. Zariski; P. Samuel Commutative Algebra, vol. 1, Van Nostrand, Princeton, NJ, 1958

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