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Homology Invariants of Homogeneous Complex Manifolds

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Lie Groups and Lie Algebras

Part of the book series: Mathematics and Its Applications ((MAIA,volume 433))

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Abstract

A connected Lie group has an Iwasawa decomposition G = K × ℝdG, where K is a maximal compact subgroup of G. It is well-known that a complex Lie group G is compact, i.e., d G = 0, if and only if G is a torus. One also has the following

Mathematics Subject Classification (1991): 32M10.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Regina, Regina, Canada, S4S 0A2

    Bruce Gilligan

Authors
  1. Bruce Gilligan
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Editor information

Editors and Affiliations

  1. International Sophus Lie Center, Minsk, Belarus

    B. P. Komrakov

  2. Moscow Institute for Municipal Economy and Diffiety Institute, Moscow, Russia

    I. S. Krasil’shchik

  3. Institute for New Technologies, Moscow, Russia

    G. L. Litvinov

  4. Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

    A. B. Sossinsky

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© 1998 Springer Science+Business Media Dordrecht

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Gilligan, B. (1998). Homology Invariants of Homogeneous Complex Manifolds. In: Komrakov, B.P., Krasil’shchik, I.S., Litvinov, G.L., Sossinsky, A.B. (eds) Lie Groups and Lie Algebras. Mathematics and Its Applications, vol 433. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5258-7_11

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  • DOI: https://doi.org/10.1007/978-94-011-5258-7_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6212-1

  • Online ISBN: 978-94-011-5258-7

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