Wednesday, October 23, 2024

Coxeter groups

17, 24, 31 October and 7 Nov

Devjani introduces us to the Coxeter groups and their representations.


See:
Video of Part 1  (17 Oct)
Video of Part 2  (24 Oct)
Video of Part 3  (31 Oct) 
Video of Part 4   (7 Nov)

Devjani strongly recommends Reflection Groups and Coxeter Groups by James E. Humphreys.  [Amazon]

Wednesday, October 2, 2024

2024 New series!

We are reviewing last year's material (see the previous posts). Once we finish, new posts will appear.  Below, we shall collect some new items from the current meetings.

1.  Here are data to draw the Apollonian Window (or analyze the numbers). In the description in the sheet:

$x$ means $\dot x$,  $y = \dot y$, $b=\beta$, and $g=\gamma$

2.  The Pythagorean triples tree (pdf, 1 page)