Geometry of symmetric spaces of type EIII

IF 0.7 4区数学 Q2 MATHEMATICS

St Petersburg Mathematical Journal Pub Date : 2024-01-26 DOI:10.1090/spmj/1789

V. Petrov, A. Semenov

引用次数: 0

Abstract

Atsuyama’s result on the geometry of symmetric spaces of type EIII is generalized to the case of arbitrary fields of characteristic not 2 or 3. As an application, a variant of the “chain lemma” for microweight tori in groups of type E 6 E_6 is proved.

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EIII 型对称空间的几何学

笃山关于 EIII 型对称空间几何的结果被推广到特征非 2 或 3 的任意域的情况。作为应用，证明了 E 6 E_6 型群中微重转矩的 "链式定理 "的变体。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.