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| bio | website | |
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| location | ||
| age | ||
| visits | member for | 2 years, 8 months |
| seen | Apr 29 at 22:33 | |
| stats | profile views | 29 |
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Sep 30 |
comment |
What structure does the alternating group preserve? I don't know whether the construction of the Tits building is functorial. I didn't mean to imply this with anything I wrote. It would be nice of course, then an embedding of S_n might correspond to the inclusion of a particular chamber. |
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Sep 29 |
revised |
What structure does the alternating group preserve? added link |
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Sep 29 |
comment |
What structure does the alternating group preserve? I am also starting to find that strange now: Does an embedding of S_n into GL_n give me a choice of basis? Maybe via picking eigenvectors? If not one could define A_n as the intersection of S_n with O_n (which is definable coordinate-free) under any embedding - and then use coordinates to show independence of the embedding. |
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Sep 29 |
comment |
What structure does the alternating group preserve? Does it? Aren't the group operations still there when you forget about the coordinates, which you used to define it via matrix multiplication? The construction of the building then uses just coordinate-free notions like "Borel subgroups", as far as I remember... |
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Sep 28 |
answered | What structure does the alternating group preserve? |
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Sep 27 |
comment |
Best book ever on Number Theory works fine when I try |
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Sep 26 |
answered | Best book ever on Number Theory |
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Sep 25 |
revised |
geometric meaning of differentiation with respect to the complex conjugate of $z$ added 55 characters in body |
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Sep 25 |
awarded | Editor |
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Sep 25 |
revised |
How to start with mathematics? typo |
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Sep 25 |
answered | geometric meaning of differentiation with respect to the complex conjugate of $z$ |
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Sep 25 |
awarded | Supporter |
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Sep 22 |
comment |
How to start with mathematics? Sure, for number theory that's a great reason for example! In my areas on the other hand there is simply no way to use computers (maybe one future day?). So in the end it was a detour and distraction for me to learn programming. If I had ended up in a different area where it would have been a benefit I could still have learned it. So, as with calculus, if you enjoy programming (I didn't :-), go for it - if not, don't just do it because you think it is a necessary preparation. |
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Sep 22 |
answered | Cover E -> B gives a homeomorphism E/Aut(E) -> B |
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Sep 22 |
awarded | Teacher |
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Sep 22 |
answered | Where to go after calculus? |
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Sep 22 |
answered | Constructing an L-structure with an Infinite Universe, and Counting L-structures on a Finite Universe |
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Sep 22 |
answered | How to start with mathematics? |
