Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

AFFINE INNER AUTOMORPHISMS BETWEEN COMPACT CONNECTED SEMISIMPLE LIE GROUPS

  • Park, Joon-Sik (Department of Mathemathics, Pusan University of Foreign)
  • Published : 2002.05.01

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Abstract

In this paper, we get a necessary and sufficient condition for an inner automorphism between compact connected semisimple Lie groups to be an atone transformation, and obtain atone transformations of (SU(n),g) with some left invariant metric g.

Keywords

References

  1. CBMS Regional Conf. Selected Topics in Harmonic Maps J.Eells;L.Lemaire
  2. Bull. London Math. Soc. v.10 A Report on Harmonic Maps J.Eells;L.Lemaire
  3. Differential Ceometry, Lie Groups, and Symmetric Spaces S.Helgason
  4. J. Diff. Geom. v.25 Geometry of maps between generalized flag manifolds M.A.Guest
  5. Theory of Lie Groups N.Iwahori
  6. Tsukuba J. Math. v.23 Affine inner automorphisms of SU(2) U-Hang Ki;Joon-Sik Park
  7. Amer. J. Math. v.76 Invariant affine connections on homogeneous spaces K.Nomizu
  8. Tohoku Math. J. v.42 Harmonic inner automorphisms of compact semisimple Lie groups Joon-Sik Park
  9. Math. Japonica v.26 The sectional curvature and the diameter estimate for the left invariant metrics on SU(2,C) and SO(3,R) K.Sugahara
  10. Trans. Amer. Math. Soc. v.301 Stability of Harmonic maps and eigenvalues of Laplacian H.Urakawa
  11. Harmonic Analysis on Homogeneous Spaces N.Wallach