2 papers
math.QA1999
The classification of convex orders on affine root systems
Ken Ito
We classify all total orders having a certain convex property on the positive root system of an arbitrary untwisted affine Lie algebra . Such total orders are called con…
math.QA1999
Parametrizations of infinite biconvex sets in affine root systems
Ken Ito
We investigate in detail relationships between the set of all infinite ``biconvex'' sets in the positive root system of an arbitrary untwisted affine L…