McKay graph

id: mckay-graph-307-3741555
title: McKay graph
text: In mathematics, the McKay graph of a finite-dimensional representation V of a finite group G is a weighted quiver encoding the structure of the representation theory of G. Each node represents an irreducible representation of G. If χ i, χ j are irreducible representations of G, then there is an arrow from χ i to χ j if and only if χ j is a constituent of the tensor product V ⊗ χ i . Then the weight nij of the arrow is the number of times this constituent appears in V ⊗ χ i . For finite subgroups
brand slug: wiki
category slug: encyclopedia
description: Construction in graph theory
original url: https://en.wikipedia.org/wiki/McKay_graph
date created:
date modified: 2024-03-21T06:33:21Z
main entity: {"identifier":"Q6801707","url":"https://www.wikidata.org/entity/Q6801707"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/50/Affine_Dynkin_diagrams.png","width":693,"height":265}
fields total: 13
integrity: 15

Related Entries

Explore Next Part