TANNAKIAN CATEGORIES IN POSITIVE CHARACTERISTIC

被引:11
|
作者
Coulembier, Kevin [1 ]
机构
[1] Univ Sydney, Sch Math & Stat, Sydney, NSW, Australia
基金
澳大利亚研究理事会;
关键词
SYMMETRIC TENSOR CATEGORIES;
D O I
10.1215/00127094-2020-0026
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We determine internal characterizations for the case when a tensor category is (super) Tannakian over fields of positive characteristic. This generalizes the corresponding characterizations in characteristic 0 by Deligne. We also explore notions of Frobenius twists in tensor categories in positive characteristic.
引用
收藏
页码:3167 / 3219
页数:53
相关论文
共 50 条
  • [41] Tannakian Krull-Schmidt reduction
    Balaji, V
    Biswas, I
    Nagaraj, DS
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2006, 590 : 227 - 230
  • [42] A Tannakian context for Galois theory
    Dubuc, Eduardo J.
    Szyld, Martin
    ADVANCES IN MATHEMATICS, 2013, 234 : 528 - 549
  • [43] Characteristic, C-Characteristic and Positive Cones in Hyperfields
    Kedzierski, Dawid Edmund
    Linzi, Alessandro
    Stojalowska, Hanna
    MATHEMATICS, 2023, 11 (03)
  • [44] Derived splinters in positive characteristic
    Bhatt, Bhargav
    COMPOSITIO MATHEMATICA, 2012, 148 (06) : 1757 - 1786
  • [45] SIMPLE SINGULARITIES IN POSITIVE CHARACTERISTIC
    GREUEL, GM
    KRONING, H
    MATHEMATISCHE ZEITSCHRIFT, 1990, 203 (02) : 339 - 354
  • [46] Parabolic bundles in positive characteristic
    Kumar, Manish
    Majumder, S.
    JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2018, 33 (01) : 1 - 36
  • [47] Planar surfaces in positive characteristic
    Voloch, Jose Felipe
    SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2016, 10 (01): : 1 - 8
  • [48] Polynomial actions in positive characteristic
    Hancl, J.
    Jassova, A.
    Lertchoosakul, P.
    Nair, R.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2013, 280 : 37 - 42
  • [49] Tannakian Formalism Over Fields with Operators
    Kamensky, Moshe
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2013, 2013 (24) : 5571 - 5622
  • [50] WEITZENBOCKS THEOREM IN POSITIVE CHARACTERISTIC
    FAUNTLEROY, A
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 64 (02) : 209 - 213