AN ANALOG OF CARTAN DUALITY OVER<i>p</i>-ADIC FIELDS

I V Čerednik

doi:10.1070/im1976v010n04abeh001809

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JOURNAL ARTICLE

AN ANALOG OF CARTAN DUALITY OVERp-ADIC FIELDS

I V Čerednik

Year: 1976 Journal: Mathematics of the USSR-Izvestiya Vol: 10 (4)Pages: 687-694 Publisher: IOP Publishing

DOI: 10.1070/im1976v010n04abeh001809

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Abstract

The classical Cartan duality gives a classification of real forms of a complex semisimple Lie group by means of a classification of involutions of its compact real form. In the present article an analogous construction is given over p-adic fields.Bibliography: 8 titles.

Keywords:

Duality (order theory) Mathematics Cartan matrix Pure mathematics Algebra over a field

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Advanced Algebra and Geometry

Physical Sciences → Mathematics → Mathematical Physics

Algebraic Geometry and Number Theory

Physical Sciences → Mathematics → Geometry and Topology

advanced mathematical theories

Physical Sciences → Mathematics → Mathematical Physics

AN ANALOG OF CARTAN DUALITY OVERp-ADIC FIELDS

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