G-graphs and special representations for binary dihedral groups in GL(2,C)
Algebraic Geometry
2012-08-09 v2 Representation Theory
Abstract
We give the classification of all possible G-graphs for any small binary dihedral subgroup G in GL(2,C) and use this classification to give the combinatorial description of the special representations of G in terms of its maximal cyclic normal subgroup.
Cite
@article{arxiv.0905.1190,
title = {G-graphs and special representations for binary dihedral groups in GL(2,C)},
author = {Álvaro Nolla de Celis},
journal= {arXiv preprint arXiv:0905.1190},
year = {2012}
}
Comments
Final version. Major improvement in the exposition, statements and proofs from the previous version thanks to suggestions of the anonymous referee. To appear in Glasgow Mathematical Journal