Name: On systems of linear inequalities
Creator: Fujimori, Masami
Keywords: Simultaneous homogeneous approximation, linear forms, Monoidal, symmetric monoidal and braided categories, Tannakian category, semi-stability, 0211 other engineering and technologies, tensor product, 02 engineering and technology, successive minima, 0101 mathematics, 01 natural sciences

On systems of linear inequalities.

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2003Publisher:Societe Mathematique de FranceJournal:Bulletin de la Soci&#233;t&#233; math&#233;matique de France, volume 131, pages 41-57 (issn: 0037-9484, eissn: 2102-622X,

Authors: Fujimori, Masami;

doi: 10.24033/bsmf.2436

On systems of linear inequalities

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Abstract

Summary: We show in detail that the category of general Roth systems or the category of semi-stable systems of linear inequalities of slope zero is a neutral Tannakian category. On the way, we present a new proof of the semi-stability of the tensor product of semi-stable systems. The proof is based on a numerical criterion for a system of linear inequalities to be semi-stable.

Related Organizations

Kanagawa Institute of Technology
Japan

Keywords

Simultaneous homogeneous approximation, linear forms, Monoidal, symmetric monoidal and braided categories, Tannakian category, semi-stability, tensor product, successive minima

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