Rational automorphisms of Grassmann manifolds

Brewster, Stephen; Homer, William

doi:10.1090/S0002-9939-1983-0691305-8

Rational automorphisms of Grassmann manifolds
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by Stephen Brewster and William Homer

Proc. Amer. Math. Soc. 88 (1983), 181-183

DOI: https://doi.org/10.1090/S0002-9939-1983-0691305-8

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Abstract:

The homotopy class of a self map of a complex projective space is well known to be classified by a degree detected in two dimensional cohomology. An analogous result is proved for the rationalization of the Grassmann manifold of complex $n$-planes in complex $N$-space, provided $N \ne 2n$ and the degree is not zero.

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