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Looking for a proof different from the standard proof(s) of a result

19 votes

A slick proof of the Bruhat Decomposition for GL_n(k)?

My answer starts off just like Emerton's answer above; you want the $G$-orbits on $G/B\times G/B$. But now, I diverge from Emerton to say that $G/B$ is the space of full flags $F_0\subset F_1\subset \ …
Amritanshu Prasad's user avatar