Transformation groups resembling the adjoint representation
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- by R. W. Sullivan PDF
- Proc. Amer. Math. Soc. 47 (1975), 491-494 Request permission
Abstract:
If $G$ is a compact, connected Lie group, the isotropy subgroups of the adjoint representation of $G$ are connected and the dimension of the fixed point set of a maximal torus of $G$ is equal to the the rank of $G$. Results similar to these are given when $G$ acts differentiably on an integral cohomology sphere and has the adjoint representation as weak linear model. This is done by analyzing an induced action of the Weyl group of $G$.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 491-494
- MSC: Primary 57E15
- DOI: https://doi.org/10.1090/S0002-9939-1975-0368054-4
- MathSciNet review: 0368054