The structure of certain rigid tensor categories

Peter O'Sullivan

doi:10.1016/j.crma.2005.03.018

Algebra

The structure of certain rigid tensor categories
[La structure de certaines catégories tensorielles rigides]

Présenté par : Christophe Soulé

Peter O'Sullivan ¹

¹ School of Mathematics and Statistics F07, University of Sydney NSW 2006, Australia

Comptes Rendus. Mathématique, Volume 340 (2005) no. 8, pp. 557-562.

Résumé
Abstract

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 : 2003-12-08
Accepté le : 2005-03-29
Publié le : 2005-04-15

DOI : 10.1016/j.crma.2005.03.018

Affiliations des auteurs :

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/

Bibliographie
Cité par

[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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Jörg Wildeshaus Intermediate extension of Chow motives of abelian type, Advances in Mathematics, Volume 305 (2017), pp. 515-600 | DOI:10.1016/j.aim.2016.09.032 | Zbl:1360.14078
Mingmin Shen; Charles Vial The Fourier transform for certain hyperkähler fourfolds, Memoirs of the American Mathematical Society, 1139, Providence, RI: American Mathematical Society (AMS), 2016 | DOI:10.1090/memo/1139 | Zbl:1386.14025
Jörg Wildeshaus On the interior motive of certain Shimura varieties: the case of Picard surfaces, Manuscripta Mathematica, Volume 148 (2015) no. 3-4, pp. 351-377 | DOI:10.1007/s00229-015-0747-5 | Zbl:1349.14106
Peter O'Sullivan Algebraic cycles on an abelian variety, Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2011 (2011) no. 654, p. 1 | DOI:10.1515/crelle.2011.025
Peter O'Sullivan The generalised Jacobson-Morosov theorem., Memoirs of the American Mathematical Society, 973, Providence, RI: American Mathematical Society (AMS), 2010 | DOI:10.1090/s0065-9266-10-00603-4 | Zbl:1228.20037

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