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Questions of the kind "What's the name for a X that satisfies property Y?"

10 votes
2 answers
1k views

Analytic/synthetic distinction in mathematics besides geometry?

I have some background in philosophy and I am pretty sure that the terminology does not "come from philosophy" in any obvious sense. … I'm just asking whether the terminology is already in use, and/or would be readily understood by people, and not confused with the other notion of "analytic". …
5 votes
1 answer
292 views

Why aren't $B_n$ and $C_n$ the other way around?

In the classification of complex simple Lie algebras/groups, I have always been vaguely puzzled why $B_n$ and $C_n$ are labeled the way they are. I always instinctively want to put the special orthog …
54 votes
3 answers
7k views

Why are parabolic subgroups called "parabolic subgroups"?

Over the years, I have heard two different proposed answers to this question. It has something to do with parabolic elements of $SL(2,\mathbb{R})$. This sounds plausible, but I haven't heard a reall …