1304.4998 (Agnieszka Tereszkiewicz)

Complete Decompositions of Coxeter groups orbit products of $A_2$, $
C_2$, $G_2$ and $H_2$    [PDF]

Agnieszka Tereszkiewicz

Orbits of the Weyl reflection groups attached to the simple Lie groups $ A_2 $, $ C_2 $, $ G_2 $ and Coxeter group $H_2$ are considered. For each of the groups products of any two orbits are decomposed into the union of the orbits. Results are presented in a single formula for each of the groups.

View original: http://arxiv.org/abs/1304.4998