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arXiv:2601.02290math.RT

Coxeter and Dynkin Diagrams

John C. Baez

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Abstract

Coxeter and Dynkin diagrams classify a wide variety of structures, most notably finite reflection groups, lattices having such groups as symmetries, compact simple Lie groups and complex simple Lie algebras. The simply laced or "ADE" Dynkin diagrams also classify finite subgroups of SU(2) and quivers with finitely many indecomposable representations. This introductory tour of Coxeter and Dynkin diagrams, based on the column This Week's Finds in Mathematical Physics, is made to accompany a series of lecture videos.

arXiv comments
26 pages LaTeX with 14 image files
Journal reference
DOI
Subjects
math.RTRepresentation Theory math.GRGroup Theory

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