For beginers, any suggestions?
Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
|
6
4
|
|||||||||
|
|
6
|
A good reference is Ken Brown and Peter Abramenko's "Buildings" (there is also the first edition freely available at http://www.math.cornell.edu/~kbrown/buildings/). Otherwise, you may want to look at Tits' "Reductive groups over local fields" from the Corvallis 1979 proceedings (see http://mathoverflow.net/questions/73166). |
|||
|
|
You can accept an answer to one of your own questions by clicking the check mark next to it. This awards 15 reputation points to the person who answered and 2 reputation points to you.
|
4
|
In my opinion, the beginner would find the following very helpful:
|
|||||
|
|
3
|
Tits' original lecture notes from 1974 (Buildings of spherical type and finite BN-pairs, Lecture Notes in Mathematics, 386, Springer-Verlag) can still serve as a very good introduction to the subject. Another excellent reference (and not as voluminous as Abramenko--Brown) is the pair of books by Richard Weiss: "The structure of spherical buildings" and "The structure of affine buildings" (both published by Princeton University Press). |
|||
|
|
|
3
|
A book suited well for beginners on the subject is "Lectures on buildings" by Mark Ronan. |
|||
|
|
|
0
|
Just a comment (sorry but I can't comment yet) : if you want not to 'waste' to much time, you should tell people what kind of specific problems you want to work in; as far as I remember, Tits' book (spherical buildings) is essentially combinatorial, so for instance you can read it without much knowledge of algebraic groups. But if you intend to solve problems in that direction, then indeed the book of Brown for instance is better direction. I'm not a specialist but I hope that people will give you more infos on the references they recommend. |
|||
|
|
