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Weakly-split spherical Tits systems in quasi-reductive groups
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 136, Number 3, June 2014
- pp. 807-832
- 10.1353/ajm.2014.0017
- Article
- Additional Information
We will prove that any weakly-split spherical Tits system $(B,N)$ in $G= {\bf G}(k)$ (${\bf G}$ a quasi-reductive
$k$-group, such as a connected reductive $k$-group) satisfying some natural conditions is ``standard''.
In particular, if ${\bf G}$ is anisotropic over $k$, then such a Tits system is trivial, i.e., $B= G=N$.