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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Linear isotropy group of an affine symmetric space
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by Jun Nagasawa PDF
Proc. Amer. Math. Soc. 33 (1972), 516-519 Request permission

Abstract:

Let K be a subgroup of the general linear group ${\text {GL}}(n)$. The author found a necessary and sufficient condition that there exist an n-dimensional simply connected affine symmetric space M such that K coincides with the linear isotropy group of all affine automorphisms of M at some point in M.
References
    É. Cartan, Leçons sur la géométrie des espaces de Riemann, 2nd. ed., Gauthier-Villars, Paris, 1946. MR 8, 602.
  • Katsumi Nomizu, Invariant affine connections on homogeneous spaces, Amer. J. Math. 76 (1954), 33–65. MR 59050, DOI 10.2307/2372398
  • Shoshichi Kobayashi and Katsumi Nomizu, Foundations of differential geometry. Vol I, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1963. MR 0152974
  • —, Foundations of differential geometry. Vol. 2, Interscience Tracts in Pure and Appl. Math., no. 15, Interscience, New York, 1969. MR 38 #6501.
  • Jun Nagasawa, On infinitesimal linear isotropy group of an affinely connected manifold, Proc. Japan Acad. 41 (1965), 553–557. MR 200854
  • Jun Nagasawa, Linear isotropy group of a symmetric space, Mem. Fac. Ed. Kumamoto Univ. Sect. 1 17 (1969), 1–2. MR 252572
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 33 (1972), 516-519
  • MSC: Primary 53C35
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0296860-0
  • MathSciNet review: 0296860