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On classification of orthogonal multiplications à la do carmo-wallach

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Abstract

The space of range-equivalence classes of full orthogonal multiplications F: ℝn×ℝn→ℝp, n≤p ≤n 2, is shown to be a compact convex body lying in so(n)⊗so(n). Furthermore, the dimension of the space of equivalence classes is determined to be (n 2(n−1)2)/4−n(n−1).

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08102, Camden, NJ, USA

    Gabor Toth

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  1. Gabor Toth
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Toth, G. On classification of orthogonal multiplications à la do carmo-wallach. Geom Dedicata 22, 251–254 (1987). https://doi.org/10.1007/BF00181271

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  • DOI: https://doi.org/10.1007/BF00181271

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