Infinite dimensional Jordan algebras and symmetric cones

2017/07/12 by Chu, Cho-Ho · 1 citation
#17C65 #22E65 #46B40 #46H70 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1707.03610

Abstract

A celebrated result of Koecher and Vinberg asserts the one-one correspondence between the finite dimensional formally real Jordan algebras and Euclidean symmetric cones. We extend this result to the infinite dimensional setting.

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