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