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What is a canonocal canonical set of representatives in $GL(n,F)$ for the vertices in the Bruhat Tits building? |
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$F$ is a non archimedean field here. To be more precise, I would actually prefer a set of representative in $B(F)$ for the discrete space $B(F) / B(o)Z(F)$? This can be phrased also as question about lattices in $F^n$, but I would prefer to stay on the group level. |
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What is a canonocal set of representatives in $GL(n,F)$ for the vertices in the Bruhat Tits building?$F$ is a non archimedean field here. To be more precise, I would actually prefer a set of representative in $B(F)$ for the discrete space $B(F) / B(o)Z(F)$?
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