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Involutions and stable subalgebras

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Datum

2018

Autor:innen

Grenier-Boley, Nicolas
Tignol, Jean-Pierre

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DOI (zitierfähiger Link)
https://doi.org/10.1016/j.jalgebra.2017.09.026
ArXiv-ID
http://arxiv.org/abs/1610.06321v2

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Mathematik und Statistik: Publikationen
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Journal of Algebra. 2018, 493, pp. 381-409. ISSN 0021-8693. eISSN 1090-266X. Available under: doi: 10.1016/j.jalgebra.2017.09.026

Zusammenfassung

Given a central simple algebra with involution over an arbitrary field, 'etale subalgebras contained in the space of symmetric elements are investigated. The method emphasizes the similarities between the various types of involutions and privileges a unified treatment for all characteristics whenever possible. As a consequence a conceptual proof of a theorem of Rowen is obtained, which asserts that every division algebra of exponent two and degree eight contains a maximal subfield that is a triquadratic extension of the centre.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Central simple algebra, Double Centraliser Theorem, Maximal étale subalgebra, Capacity, Jordan algebra, Crossed product, Characteristic two

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ISO 690BECHER, Karim Johannes, Nicolas GRENIER-BOLEY, Jean-Pierre TIGNOL, 2018. Involutions and stable subalgebras. In: Journal of Algebra. 2018, 493, pp. 381-409. ISSN 0021-8693. eISSN 1090-266X. Available under: doi: 10.1016/j.jalgebra.2017.09.026
BibTex
@article{Becher2018Invol-40820,
  year={2018},
  doi={10.1016/j.jalgebra.2017.09.026},
  title={Involutions and stable subalgebras},
  volume={493},
  issn={0021-8693},
  journal={Journal of Algebra},
  pages={381--409},
  author={Becher, Karim Johannes and Grenier-Boley, Nicolas and Tignol, Jean-Pierre}
}
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