# Nested Polyhedra and Indices of Orbits of Coxeter Groups of Non-Crystallographic Type

@article{Myronova2020NestedPA, title={Nested Polyhedra and Indices of Orbits of Coxeter Groups of Non-Crystallographic Type}, author={Mariia Myronova and Jir{\'i} Patera and M. Szajewska}, journal={Symmetry}, year={2020}, volume={12}, pages={1737} }

The invariants of finite-dimensional representations of simple Lie algebras, such as even-degree indices and anomaly numbers, are considered in the context of the non-crystallographic finite reflection groups H2, H3 and H4. Using a representation-orbit replacement, the definitions and properties of the indices are formulated for individual orbits of the examined groups. The indices of orders two and four of the tensor product of k orbits are determined. Using the branching rules for the non…

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