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Transactions of the American Mathematical Society

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On homogeneous spaces and reductive subalgebras of simple Lie algebras


Authors: A. Sagle and D. J. Winter
Journal: Trans. Amer. Math. Soc. 128 (1967), 142-147
MSC: Primary 22.80
MathSciNet review: 0227325
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  • [1] A. Borel and G. D. Mostow, On semi-simple automorphisms of Lie algebras, Ann. of Math. (2) 61 (1955), 389–405. MR 0068531
  • [2] E. B. Dynkin, Semisimple subalgebras of semisimple Lie algebras, Amer. Math. Soc. Transl. (2) 6 (1957), 111-244.
  • [3] Nathan Jacobson, Lie algebras, Interscience Tracts in Pure and Applied Mathematics, No. 10, Interscience Publishers (a division of John Wiley & Sons), New York-London, 1962. MR 0143793
  • [4] Bertram Kostant, On differential geometry and homogeneous spaces. I, II, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 258–261, 354–357. MR 0088017
  • [5] Katsumi Nomizu, Invariant affine connections on homogeneous spaces, Amer. J. Math. 76 (1954), 33–65. MR 0059050
  • [6] Arthur A. Sagle, On anti-commutative algebras and homogeneous spaces, J. Math. Mech. 16 (1967), 1381–1393. MR 0223500
  • [7] A. Borel and J. Tits, Groupes réductifs, pp. 659-755, Inst. Hautes Etudes Sci. Paris No. 27, 1965.

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DOI: https://doi.org/10.1090/S0002-9947-1967-0227325-2
Article copyright: © Copyright 1967 American Mathematical Society