胡尔维兹定理 (Chinese Wikipedia)

Analysis of information sources in references of the Wikipedia article "胡尔维兹定理" in Chinese language version.

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arxiv.org

JA Nieto and LN Alejo-Armenta. Hurwitz theorem and parallelizable spheres from tensor analysis. Arxiv preprint hep-th/0005184. 2000 [2011-01-04]. （原始内容存档于2022-04-14）.

Kevin McCrimmon. Hurwitz's theorem 2.6.2. A taste of Jordan algebras. Springer. 2004: 166. ISBN 0387954473. Only recently was it established that the only finite-dimensional real nonassociative division algebras have dimensions 1,2,4,8; the algebras were not classified, and the proof was topological rather than algebraic.
IL Kantor and AS Solodovnikov. Normed algebras with an identity. Hurwitz's theorem.. Hypercomplex numbers. An elementary introduction to algebras 2nd. Springer-Verlag. 1989: 121. ISBN 0387969802.
Daniel B. Shapiro. Appendix to Chapter 1. Composition algebras. Compositions of quadratic forms. Walter de Gruyter. 2000: 21 ff. ISBN 311012629X.
Joe Roberts. Square identities. Lure of the integers. Cambridge University Press. 1992. ISBN 088385502X.

Matthew Badger. Division algebras over the real numbers (PDF). （原始内容 (PDF)存档于2011-06-07）.

JA Nieto and LN Alejo-Armenta. Hurwitz theorem and parallelizable spheres from tensor analysis. Arxiv preprint hep-th/0005184. 2000 [2011-01-04]. （原始内容存档于2022-04-14）.
Matthew Badger. Division algebras over the real numbers (PDF). （原始内容 (PDF)存档于2011-06-07）.