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Transitivity and gradient property for real group representations

Транзитивность и градиентное свойство вещественных групновых представлений

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Il Nuovo Cimento B (1971-1996)

Summary

The conjecture that any linear group representation on a real space which is transitive on the unit sphere possesses also gradient property is proved.

Riassunto

Si dimostra la congettura secondo cui ogni rappresentazione lineare di un gruppo che sia transitiva sulla sfera gode della proprietà gradiente.

Резюме

Доказывается предположение, что линейное групповое представление на вещественном пространстве, которое является транзитивным на единичной сфере, также обладает градиентным свойством.

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References

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Authors and Affiliations

  1. Centre de Recherches Mathematiques, Université de Montreal, C.P. 6128 succ. A, H3C 3J7, Montreal, Canada

    G. Gaeta

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  1. G. Gaeta
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Gaeta, G. Transitivity and gradient property for real group representations. Nuov Cim B 99, 61–66 (1987). https://doi.org/10.1007/BF02827404

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  • DOI: https://doi.org/10.1007/BF02827404

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