English

Infinite dimensional Jordan algebras and symmetric cones

Rings and Algebras 2017-07-13 v1

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.

Keywords

Cite

@article{arxiv.1707.03610,
  title  = {Infinite dimensional Jordan algebras and symmetric cones},
  author = {Cho-Ho Chu},
  journal= {arXiv preprint arXiv:1707.03610},
  year   = {2017}
}