Reelle Jordanalgebren mit endlicher Spur.

Autor: Janssen, Gerhard
Zdroj: Manuscripta Mathematica; 1974, Vol. 13 Issue 3, p237-273, 37p
Abstrakt: We study real Jordan algebras of arbitrary dimension which admit an associative, positive definite trace form and have suitable continuity properties. We construct certain completions until we arrive at a class of Jordan algebras corresponding to associative W-algebras of finite type. For these Jordan algebras we derive some basic properties concerning positive elements and idempotents. In contrast to other related investigations exceptional Jordan algebras are not excluded. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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