Homotopy rigidity for Grassmannians
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- by Allen Back
- Proc. Amer. Math. Soc. 80 (1980), 327-332
- DOI: https://doi.org/10.1090/S0002-9939-1980-0577768-4
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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.References
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Bibliographic Information
- © Copyright 1980 American Mathematical Society
- 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