On classification of orthogonal multiplications à la do carmo-wallach

Gabor Toth

doi:10.1007/BF00181271

On classification of orthogonal multiplications à la do carmo-wallach

Gabor Toth

Rutgers Camden, Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The space of range-equivalence classes of full orthogonal multiplications F: ℝⁿ×ℝⁿ→ℝ^p, n≤p ≤n², 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 (n²(n-1)²)/4-n(n-1).

Original language	English (US)
Pages (from-to)	251-254
Number of pages	4
Journal	Geometriae Dedicata
Volume	22
Issue number	2
DOIs	https://doi.org/10.1007/BF00181271
State	Published - Feb 1987

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1007/BF00181271

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title = "On classification of orthogonal multiplications {\`a} la do carmo-wallach",

abstract = "The space of range-equivalence classes of full orthogonal multiplications F: ℝn×ℝn→ℝp, n≤p ≤n2, 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 (n2(n-1)2)/4-n(n-1).",

author = "Gabor Toth",

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AB - The space of range-equivalence classes of full orthogonal multiplications F: ℝn×ℝn→ℝp, n≤p ≤n2, 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 (n2(n-1)2)/4-n(n-1).

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ER -

On classification of orthogonal multiplications à la do carmo-wallach

Abstract

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