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May 7, 2010 at 17:43 comment added Dylan Thurston Well, it's not very "nice" nor efficient, but I'll accept it, since it does give a fundamental domain.
May 7, 2010 at 17:43 vote accept Dylan Thurston
May 7, 2010 at 11:29 comment added David E Speyer An alternative first step might be to require that the corresponding Plucker coordinate be maximal. That way, you compute $\binom{n}{k}$ Plucker coordinates, rather than $\binom{n}{k} k (n-k)$ matrix entries. Not a big improvement, though.
May 7, 2010 at 1:54 history answered Bjorn Poonen CC BY-SA 2.5