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JOURNALS // Matematicheskie Zametki // Archive

Mat. 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.

UDC: 519.4

Received: 07.12.1971


 English version:
Mathematical Notes, 1974, 15:2, 168–173

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