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Analysis and Geometry on Complex Homogeneous Domains pp 393–424Cite as

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The Matrix Representation of NIRGSS

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Part of the book series: Progress in Mathematics ((PM,volume 185))

Abstract

In the joint work of Hua and Lu([HL] 1959) it was already known how to represent the symmetric space SO(m,n)/S((O(m)x O(n)) by matrices; that is, this symmetric space is isomorphic to the real hyperball

$$ {R_\mathbb{R}}(m,n) = \{ X \in {\mathbb{R}^{mxn}}|I XX > 0\} $$

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References

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Authors and Affiliations

  1. Institute of Mathematics, Academia Sinicia, Beijing, 100080, China

    Qi-keng Lu

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  1. Qi-keng Lu
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© 2000 Springer Science+Business Media New York

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Lu, Qk. (2000). The Matrix Representation of NIRGSS. In: Analysis and Geometry on Complex Homogeneous Domains. Progress in Mathematics, vol 185. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1366-6_27

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  • DOI: https://doi.org/10.1007/978-1-4612-1366-6_27

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7115-4

  • Online ISBN: 978-1-4612-1366-6

  • eBook Packages: Springer Book Archive

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