Complete Decompositions of Coxeter groups orbit products of $A_2, C_2, G_2$ and $H_2$ and some limits for them

Agnieszka Tereszkiewicz

paper

Complete Decompositions of Coxeter groups orbit products of $A_{2}, C_{2}, G_{2}$ and $H_{2}$ and some limits for them

arXiv:1304.4998

Abstract

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. Orbits are considered as functions of two variables and limits for such functions are mentioned.

24 pages, 10 figures

Complete Decompositions of Coxeter groups orbit products of A2​,C2​,G2​ and H2​ and some limits for them

Abstract

References in corpus (3)

Complete Decompositions of Coxeter groups orbit products of $A_{2}, C_{2}, G_{2}$ and $H_{2}$ and some limits for them