no. 8
Algebra
The structure of certain rigid tensor categories
[La structure de certaines catégories tensorielles rigides]

Présenté par : Christophe Soulé

O'Sullivan, Peter1
1 School of Mathematics and Statistics F07, University of Sydney NSW 2006, Australia
Comptes Rendus. Mathématique, Tome 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 :
Publié le :
DOI : 10.1016/j.crma.2005.03.018
O'Sullivan, Peter 1

1 School of Mathematics and Statistics F07, University of Sydney NSW 2006, Australia 
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O'Sullivan, Peter. The structure of certain rigid tensor categories. Comptes Rendus. Mathématique, Tome 340 (2005) no. 8, pp. 557-562. doi : 10.1016/j.crma.2005.03.018. http://archive.numdam.org/articles/10.1016/j.crma.2005.03.018/

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

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

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

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

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

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

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

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

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

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