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Matematicheskie Zametki, 1974, Volume 15, Issue 2, Pages 295–305 (Mi mzm7349)  

Ideal points of semisimple Jordan algebras

B. O. Makarevich

M. V. Lomonosov Moscow State University
Abstract: It is well known that I. L. Kantor has presented a local construction which assigns to a semisimple Jordan algebra a compact symmetric space with an extendible group of motions. For semisimple Jordan algebras of classical type we present a method of completion of the algebra space to a symmetric space in the large that generalizes the completion of a Euclidean space to a projective space and a conformai sphere.
Received: 07.12.1971
English version:
Mathematical Notes, 1974, Volume 15, Issue 2, Pages 168–173
DOI: https://doi.org/10.1007/BF02102401
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: B. O. Makarevich, “Ideal points of semisimple Jordan algebras”, Mat. Zametki, 15:2 (1974), 295–305; Math. Notes, 15:2 (1974), 168–173
Citation in format AMSBIB
\Bibitem{Mak74}
\by B.~O.~Makarevich
\paper Ideal points of semisimple Jordan algebras
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 2
\pages 295--305
\mathnet{http://mi.mathnet.ru/mzm7349}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=349784}
\zmath{https://zbmath.org/?q=an:0292.17003|0286.17013}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 2
\pages 168--173
\crossref{https://doi.org/10.1007/BF02102401}
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