On the existence of exponents prime to the Coxeter number

DOI10.1016/0021-8693(88)90298-0zbMath0644.17004OpenAlexW2051971383MaRDI QIDQ1102362

Kyoji Saito

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90298-0

zbMATH Keywords

Weyl grouproot systemexponentsCoxeter numberregular system of weightstwo dimensional hypersurface singularities

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Applications of Lie groups to the sciences; explicit representations (22E70) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (4)

Power sums of Coxeter exponents. ⋮ Classification of 2-dimensional graded normal hypersurfaces with \(a(R) \leq 6\) ⋮ Seven combinatorial problems around isolated quasihomogeneous singularities ⋮ The combinatorics of weight systems and characteristic polynomials of isolated quasihomogeneous singularities

Cites Work

• The smoothing components of a triangle singularity. II
• Extended affine root systems. I: Coxeter transformations
• A new relation among Cartan matrix and Coxeter matrix
• Algebras of automorphic forms with three generators
• On the link space of a Gorenstein quasihomogeneous surface singularity
• Isolated singularities defined by weighted homogeneous polynomials
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Algebras of Automorphic Forms with few Generators
• On Minimally Elliptic Singularities
• The Betti Numbers of the Simple Lie Groups
• Normal surface singularities with \(\mathbb{C}^*\) action
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