Binary polyhedral groups and Euclidean diagrams

DOI10.1007/BF01303280zbMath0436.20005OpenAlexW2016014644MaRDI QIDQ1140711

Udo Preiser, Claus Michael Ringel, Dieter Happel

Publication date: 1980

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154709

zbMATH Keywords

valued graphgeneralized Cartan matrixbinary polyhedral groupsCartan matrices with additive functionsfaithful, self-dual, two- dimensional representationgeneralized Euclidean diagrams

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings (16S34) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representation theory of associative rings and algebras (16Gxx)

Related Items (21)

Report on locally finite triangulated categories ⋮ Cluster categories for algebras of global dimension 2 and quivers with potential. ⋮ Mckay correspondence for semisimple Hopf actions on regular graded algebras. I ⋮ Quantum binary polyhedral groups and their actions on quantum planes ⋮ Balanced sets and Q-polynomial association schemes ⋮ Locally finite triangulated categories. ⋮ Classification of fusion categories generated by a self-dual simple object of FP-dimension 2 ⋮ Almost Split Sequences for Rational Double Points ⋮ Deformed preprojective algebras of generalized Dynkin type \(\mathbb L_n\): classification and symmetricity. ⋮ McKay quivers and decomposition ⋮ Resolutions of mesh algebras: periodicity and Calabi-Yau dimensions. ⋮ On the structure of triangulated categories with finitely many indecomposables ⋮ McKay Quivers and Extended Dynkin Diagrams ⋮ Once again on polyhedral groups and Dynkin graphs ⋮ Frobenius-Perron theory of endofunctors ⋮ Maximal Cohen-Macaulay modules over a noncommutative 2-dimensional singularity ⋮ Polyhedral groups, McKay quivers, and the finite algebraic groups with tame principal blocks. ⋮ Table algebras ⋮ The stable Calabi–Yau dimension of the preprojective algebra of type ${\mathbf L}_n$ ⋮ Deformed preprojective algebras of generalized Dynkin type ⋮ CONNECTIVITY PROPERTIES OF MCKAY QUIVERS

Cites Work

• Invariant theory
• Endliche Gruppen I
• DISCRETE LINEAR GROUPS GENERATED BY REFLECTIONS
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