Grassmann manifold of aJH-algebra |
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| Authors: | Takaaki Nomura |
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| Institution: | (1) Department of Mathematics Faculty of Science, Kyoto University, Sakyo 606-01, Kyoto, Japan |
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| Abstract: | We study the set of rankp idempotents in a topologically simple Hilbert Jordan algebra (JH-algebra for short). To produce the differential geometric structure on , we establish Jordan algebraic results concerning the structure of some two-generator subalgebras. We identify geodesics, the Riemannian distance and the sectional curvature of by using the Jordan algebraic structure. |
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| Keywords: | Hilbert Jordan algebra idempotent Grassmann manifold |
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