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Jordan automorphic generators of Euclidean Jordan Algebras

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Abstract

In this paper we show that the Koecher's Jordan automorphicgenerators of one variable on an irreducible symmetric coneare enough to determine the elements of scalarmultiple of the Jordan identity on the attached simple EuclideanJordan algebra. Its various geometric, Jordan and Lie theoreticinterpretations associated to the Cartan-Hadamard metric andCartan decomposition of the linear automorphisms group of asymmetric cone are given with validity on infinite-dimensional

참고문헌 (20)

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