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Algebra i Analiz, 2022, Volume 34, Issue 6, Pages 217–227 (Mi aa1841)  
Research Papers

Geometry of symmetric spaces of type EIII

V. A. Petrovab, A. V. Semenova

a С.-Петербургский государственный университет, 199178, Санкт-Петербург, 14-я линия В.О., 29
b С.-Петербургское отделение Математического института им. В. А. Стеклова РАН, 191023, Санкт-Петербург, наб. р. Фонтанки, 27, Россия
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Abstract: In this paper we generalize Atsuyama's result on the geometry of symmetric spaces of type EIII to the case of arbitrary fields of characteristic not $2$ or $3$. As an application we prove a variant of “Chain lemma” for microweight tori in groups of type $E_6$.
Keywords: symmetric spaces, Brown algebra, microweight tori.
Funding agency Grant number
Russian Science Foundation 20-41-04401
Contest «Young Russian Mathematics»
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-16-20
Gazprom Neft
Received: 18.04.2022
English version:
St. Petersburg Mathematical Journal, 2023, Volume 34, Issue 6, Pages 1055–1061
DOI: https://doi.org/10.1090/spmj/1789
Document Type: Article
Language: Russian
Citation: V. A. Petrov, A. V. Semenov, “Geometry of symmetric spaces of type EIII”, Algebra i Analiz, 34:6 (2022), 217–227; St. Petersburg Math. J., 34:6 (2023), 1055–1061
Citation in format AMSBIB
\Bibitem{PetSem22}
\by V.~A.~Petrov, A.~V.~Semenov
\paper Geometry of symmetric spaces of type~EIII
\jour Algebra i Analiz
\yr 2022
\vol 34
\issue 6
\pages 217--227
\mathnet{http://mi.mathnet.ru/aa1841}
\transl
\jour St. Petersburg Math. J.
\yr 2023
\vol 34
\issue 6
\pages 1055--1061
\crossref{https://doi.org/10.1090/spmj/1789}
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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