Friday, April 19, 2013

1304.4998 (Agnieszka Tereszkiewicz)

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

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.
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