Finite Subgroups of \(SU_2\), Dynkin Diagrams and Affine Coxeter Elements¶
Steinberg, R. (1985). Finite Subgroups of \(SU_2\), Dynkin Diagrams and Affine Coxeter Elements. Pacific Journal of Mathematics, 587-598.
Cited by¶
1 citation across 1 artifact.
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Domain-specific¶
- McKay Graph
- Character evaluation also diagonalizes the tensoring operator: Steinberg showed that the columns of the character table give eigenvectors of \((\dim V)I-A\), with eigenvalues \(\dim V-\chi_V(g)\) for conjugacy-class representatives \(g\).
This sourceVerified 2026-08-26. Primary source for the McKay matrix, character-table eigenvectors, dimension vector, duality/symmetry criteria, and the affine ADE correspondence.
- Character evaluation also diagonalizes the tensoring operator: Steinberg showed that the columns of the character table give eigenvectors of \((\dim V)I-A\), with eigenvalues \(\dim V-\chi_V(g)\) for conjugacy-class representatives \(g\).
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