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Direct evaluation of iwasawa and triangle decompositions for the real forms of lie algebrasgl(n + 1, ℂ)

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Czechoslovak Journal of Physics B Aims and scope

Abstract

The Iwasawa and triangle decompositions for any real form of Lie algebrasgl(n + 1, ℂ) are given. Construction of these decompositions is based on the explicit calculation of the Cartna automorphisms with the help of which the real forms of Lie algebrasgl(n + 1, ℂ) are defined.

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Author notes

  1. Č. Burdík

    Present address: Nuclear Centre, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 180 00, Praha 8, Czechoslovakia

Authors and Affiliations

  1. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141 980, Dubna, USSR

    Č. Burdík

  2. Institute of Geology and Geotechnics, V Holešovičkách 41, 182 09, Praha 8, Czechoslovakia

    O. Navrátil

Authors
  1. Č. Burdík
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  2. O. Navrátil
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Burdík, Č., Navrátil, O. Direct evaluation of iwasawa and triangle decompositions for the real forms of lie algebrasgl(n + 1, ℂ). Czech J Phys 36, 1130–1137 (1986). https://doi.org/10.1007/BF01959605

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  • DOI: https://doi.org/10.1007/BF01959605

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