coxeter groups
san francisco state university
universidad de los andes
federico ardila
2008



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O some comments

below are the lecture notes and videos for the 2008 coxeter groups class, which i am teaching jointly at san francisco state university (usa) and the universidad de los andes (colombia).
i was a bit hesitant to post all of this for anyone to see. everyone makes mistakes when they teach, but not everyone immortalizes them on the internet. :) but i decided the lectures might be useful to people so i posted them anyway. if they have been helpful to you, please let me know how you are using them - drop me an email to federico at math dot sfsu dot edu. this may help me to improve them in the future.
* an important request *: please either stream the lectures from stream.sfsu.edu or download them only one at a time - our server can't handle it otherwise!


O lecture videos

You can stream the lecture videos at stream.sfsu.edu. (Thanks to Arek Goetz!)
You can also download the most recent lectures:

36 37 38 39 40 41 42


O lecture notes


1. 1/25/08.
2. 1/28/08.
3. 1/30/08.
4. 2/01/08.
5. 2/04/08.
6. 2/06/08.
7. 2/08/08. (2/11/08 in sf)
8. 2/11/08. (2/13/08 in sf) (This has a serious mistake, fixed in Lecture 19.)
9. 2/13/08. (2/15/08 in sf)
10. 2/15/08. (2/18/08 in sf)
11. 2/20/08.
12. 2/22/08.
13. 2/25/08.
14. 2/27/08.
15. 2/29/08.
16. 3/03/08.
17. 3/05/08.
18. 3/07/08.
19. 3/10/08.
20. 3/12/08.
21. 3/14/08.
22. 3/17/08. (3/24/08 in bog)
23. 3/19/08. (3/26/08 in bog)
24. 3/21/08. (3/28/08 in bog)
25. 4/02/08.
26. 4/04/08.
27. 4/07/08.
28. 4/09/08.
29. 4/11/08.
30. 4/14/08.
31. 4/16/08.
32. 4/18/08.
33. 4/21/08.
34. 4/23/08.
35. 4/25/08.
36. 4/28/08.
37. 4/30/08.
38. 5/02/08.
39. 5/05/08.
40. 5/09/08.
41. 5/12/08.
42. 5/14/08.


Note. As in any lecture or text, there may be occasional mistakes in what I said or wrote. If you notice a significant mistake, please let me know.

Acknowledgment. The first 29 lectures mostly follow the combinatorial approach of Bjorner and Brenti's book, with some omissions and some additions of my own. In the following few lectures I treat root systems and the classification of finite Coxeter groups; I learned this from Sergey Fomin who followed an approach of John Stembridge. Many thanks to all of them.