G-graphs and special representations for binary dihedral groups in GL(2,C)

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.

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

References in corpus (2)

• The Classification of Special Cohen-Macaulay Modules
• Dihedral G-Hilb via representations of the McKay quiver