Relevant bibliographies by topics / Reductive group schemes

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Academic literature on the topic 'Reductive group schemes'

Author: Grafiati
Published: 5 October 2024

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Journal articles on the topic "Reductive group schemes"

1

Pan, Yang. "Saturation rank for finite group schemes: Finite groups and infinitesimal group schemes." Forum Mathematicum 30, no. 2 (2018): 479–95. http://dx.doi.org/10.1515/forum-2017-0007.

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AbstractWe investigate the saturation rank of a finite group scheme defined over an algebraically closed field{\Bbbk}of positive characteristicp. We begin by exploring the saturation rank for finite groups and infinitesimal group schemes. Special attention is given to reductive Lie algebras and the second Frobenius kernel of the algebraic group{\operatorname{SL}_{n}}.
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2

González-Avilés, Cristian D. "Abelian class groups of reductive group schemes." Israel Journal of Mathematics 196, no. 1 (2013): 175–214. http://dx.doi.org/10.1007/s11856-012-0147-4.

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3

MCNINCH, GEORGE. "REDUCTIVE SUBGROUP SCHEMES OF A PARAHORIC GROUP SCHEME." Transformation Groups 25, no. 1 (2018): 217–49. http://dx.doi.org/10.1007/s00031-018-9508-3.

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4

Gyoja, Akihiko. "Representations of reductive group schemes." Tsukuba Journal of Mathematics 15, no. 2 (1991): 335–46. http://dx.doi.org/10.21099/tkbjm/1496161661.

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5

Prasad, Gopal, and Jiu-Kang Yu. "On quasi-reductive group schemes." Journal of Algebraic Geometry 15, no. 3 (2006): 507–49. http://dx.doi.org/10.1090/s1056-3911-06-00422-x.

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6

Waterhouse, William C. "Geometrically reductive affine group schemes." Archiv der Mathematik 62, no. 4 (1994): 306–7. http://dx.doi.org/10.1007/bf01201781.

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7

Vasiu, Adrian. "Extension theorems for reductive group schemes." Algebra & Number Theory 10, no. 1 (2016): 89–115. http://dx.doi.org/10.2140/ant.2016.10.89.

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8

Zhao, Yifei. "Tannakian reconstruction of reductive group schemes." Pacific Journal of Mathematics 321, no. 2 (2022): 467–78. http://dx.doi.org/10.2140/pjm.2022.321.467.

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9

Stasinski, Alexander. "Reductive group schemes, the Greenberg functor, and associated algebraic groups." Journal of Pure and Applied Algebra 216, no. 5 (2012): 1092–101. http://dx.doi.org/10.1016/j.jpaa.2011.10.027.

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10

CHANG, HAO, and ROLF FARNSTEINER. "Finite group schemes of p-rank ≤ 1." Mathematical Proceedings of the Cambridge Philosophical Society 166, no. 2 (2017): 297–323. http://dx.doi.org/10.1017/s0305004117000834.

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AbstractLet be a finite group scheme over an algebraically closed field k of characteristic char(k) = p ≥ 3. In generalisation of the familiar notion from the modular representation theory of finite groups, we define the p-rank rkp() of and determine the structure of those group schemes of p-rank 1, whose linearly reductive radical is trivial. The most difficult case concerns infinitesimal groups of height 1, which correspond to restricted Lie algebras. Our results show that group schemes of p-rank ≤ 1 are closely related to those being of finite or domestic representation type.
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