THE GEOMETRY OF REFLECTION GROUPS Our first encounter ...
THE GEOMETRY OF REFLECTION GROUPS Our first encounter ...
THE GEOMETRY OF REFLECTION GROUPS Our first encounter ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
8 GEORDIE WILLIAMSONreflection group of a special type. For example the only two dimensional reflectiongroups which occur are the symmetries of the triangle, square andhexagon. Similarly, in dimension three the symmetry group of the a tetrahedronand cube occurs, whereas the symmetry group of the icosahedrondoes not. However Kazhdan and Lusztig’s constructure still makes sense,and produces polynomials with remarkable properties. Only time will tellwhat these polynomials are trying to tell us!MAX-PLANCK-INSTITUT FÜR MA<strong>THE</strong>MATIK, VIVATSGASSE 7, 53111 BONN, GER-MANYE-mail address: geordie@mpim-bonn.mpg.de
Change language