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Differential invariants of the transformation group of a homogeneous space

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Abstract

We demonstrate that the invariant operators on a homogeneous space generate differential invariants and invariant differentiation operators. The coordinate-free method of this article makes it possible to simply the computations essentially, namely to reduce them to operations of linear algebra. Some examples are exhibited.

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Authors and Affiliations

  1. Irtysh Branch of Novosibirsk State Academy of Water Transport, Omsk, Russia

    I. V. Shirokov

Authors
  1. I. V. Shirokov
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Correspondence to I. V. Shirokov.

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Original Russian Text Copyright © 2007 Shirokov I. V.

The author was supported by the Russian Foundation for Basic Research (Grant 06-07-89051).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 6, pp. 1405–1421, November–December, 2007.

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Shirokov, I.V. Differential invariants of the transformation group of a homogeneous space. Sib Math J 48, 1127–1140 (2007). https://doi.org/10.1007/s11202-007-0114-1

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  • DOI: https://doi.org/10.1007/s11202-007-0114-1

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