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The Sylvester's law of inertia for Jordan algebras

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Publication:1123969
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DOI10.3792/pjaa.64.311zbMath0678.17017OpenAlexW2074216108WikidataQ114844622 ScholiaQ114844622MaRDI QIDQ1123969

Soji Kaneyuki

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.311

zbMATH Keywords

Sylvester's law of inertiastructure grouporbit structurecompact simple Jordan algebra


Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Simple, semisimple Jordan algebras (17C20)


Related Items

Automorphism groups of causal symmetric spaces of Cayley type and bounded symmetric domains, Some inertia theorems in Euclidean Jordan algebras



Cites Work

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  • Basic transformations of symmetric R-spaces
  • A formula in simple Jordan algebras
  • Eigenspaces of invariant differential operators on an affine symmetric space
  • Positivitatsbereiche Im R n
  • Some Groups of Transformations defined by Jordan Algebras. I.
  • Imbedding of Jordan Algebras into Lie Algebras. I
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