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The Cayley parametrization of $O(n),$ as in my answer to this questionthis question makes one wonder: which algebraic groups are actually rational? I am sure this is very well understood, just not by me...

The Cayley parametrization of $O(n),$ as in my answer to this question makes one wonder: which algebraic groups are actually rational? I am sure this is very well understood, just not by me...

The Cayley parametrization of $O(n),$ as in my answer to this question makes one wonder: which algebraic groups are actually rational? I am sure this is very well understood, just not by me...

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Igor Rivin
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Rationality of algebraic groups

The Cayley parametrization of $O(n),$ as in my answer to this question makes one wonder: which algebraic groups are actually rational? I am sure this is very well understood, just not by me...