Is the Bruhat cell Zariski-open in a connected algebraic group $G$? Specifically, is the big Bruhat cell Zariski-open (and maybe Zariski-dense)?

Is it true for all the Bruhat cells?

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Is the Bruhat cell Zariski-open in a connected algebraic group $G$? Specifically, is the big Bruhat cell Zariski-open (and maybe Zariski-dense)?

Is it true for all the Bruhat cells?

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Linear Algebraic Groupsby A. Borel. $\endgroup$ – abx Jul 8 at 15:58