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coadjoint orbits of compact Lie groups and generalized stereographic projection

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Abstract

We generalize the notion of stereographic projection to the case of an arbitrary compact Lie group and find the explicit form of the local complex parametrization of an orbit of the corresponding group.

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Authors and Affiliations

  1. Bogolyubov Institute for Theoretical Physics, Ukrainian Academy of Sciences, Kiev

    T. V. Skrypnik

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  1. T. V. Skrypnik
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 12, pp. 1714–1718, December, 1999.

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Skrypnik, T.V. coadjoint orbits of compact Lie groups and generalized stereographic projection. Ukr Math J 51, 1939–1944 (1999). https://doi.org/10.1007/BF02525136

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  • DOI: https://doi.org/10.1007/BF02525136

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