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Homotopy rigidity for Grassmannians


Author: Allen Back
Journal: Proc. Amer. Math. Soc. 80 (1980), 327-332
MSC: Primary 57S25; Secondary 57S15, 57T15
DOI: https://doi.org/10.1090/S0002-9939-1980-0577768-4
MathSciNet review: 577768
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Abstract: Two n-dimensional unitary representations which differ by complex conjugation or tensoring with a character induce topologically equivalent actions on the Grassmann manifold of complex m-planes in n-space. This paper shows under modest dimension hypotheses that only such projectively equivalent linear representations of compact connected Lie groups can give topologically conjugate actions.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0577768-4
Article copyright: © Copyright 1980 American Mathematical Society