Self-maps of flag manifolds-Reference-Cited by-同舟云学术

Self-maps of flag manifolds

Published:1981 Issue:2 Volume:267 Page:423-434
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Glover Henry H.,Homer William D.

Abstract

Rationally, a map between flag manifolds is seen to be determined up to homotopy by the homomorphism it induces on cohomology. Two algebraic results for cohomology endomorphisms then serve (a) to determine those flag manifolds which have (nontrivial) self-maps that factor through a complex projective space, and (b) for a special class of flag manifolds, to classify the self-maps of their rationalizations up to homotopy.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1981-267-02/S0002-9947-1981-0626481-9/S0002-9947-1981-0626481-9.pdf

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4. Lecture Notes in Mathematics, No. 36;Borel, Armand,1967

5. Les sous-groupes fermés de rang maximum des groupes de Lie clos;Borel, A.;Comment. Math. Helv.,1949

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