Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia
Last update: 26 January 2013
Affine root systems
The notation for affine root systems is
and so that the affine root systems of classical type are missing Note that
Where the left notation is the notation in [M03, §1.3] and the right notation is that of [BT]. The Weyl groups of these are
SAY SOMETHING ABOUT orbits on HOW DO THESE COMPARE TO KAC AND SAHI-ION???
Then the "classical" affine root systems of rank 2 are
Then the "classical" affine root systems of rank 1 are
Notes and References
These notes are from a study of Macdonald polynomials of type C in 2008-2009.