On cohomology automorphisms of complex flag manifolds

Hoffman, Michael; Homer, William

doi:10.1090/S0002-9939-1984-0746106-X

On cohomology automorphisms of complex flag manifolds
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by Michael Hoffman and William Homer PDF

Proc. Amer. Math. Soc. 91 (1984), 643-648 Request permission

Abstract:

We conjecture a classification of the automorphisms of the rational cohomology ring of $U\left ( n \right )/H$ for $H$ a closed connected subgroup of maximal rank in $U\left ( n \right )$, and prove a partial result.

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