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The Height of Two-Dimensional Cohomology Classes of Complex Flag Manifolds
Faculty Publications - Mathematics
  • S. Allen Broughton, Rose-Hulman Institute of Technology
  • Michael Hoffman
  • William Homer
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For a parabolic subgroup H of the general linear group G = Gl(n, C), we characterize the Kàhler classes of G/H and give a formula for the height of any two-dimensional cohomology class. As an application, we classify the automorphisms of the cohomology ring of G/H when this ring is generated by two-dimensional classes.

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Broughton, S.A., Hoffman, M, & Homer, W. (1983). The height of two-dimensional cohomolgy classes of complex flag manifolds. In Canadian Mathematical Bulletin, 26(4), 498-502.