Classical invariant theory for finite reflection groups

DOI10.1007/BF01235938zbMath0890.20032MaRDI QIDQ1377353

Markus Hunziker

Publication date: 23 April 1998

Published in: Transformation Groups (Search for Journal in Brave)

zbMATH Keywords

Weyl groupspolarizationsfinite reflection groupsalgebras of invariantsinvariant functionsChevalley restriction theoremsystems of basic invariants

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Actions of groups on commutative rings; invariant theory (13A50) Other geometric groups, including crystallographic groups (20H15) Lie algebras of linear algebraic groups (17B45) Reflection groups, reflection geometries (51F15)

Related Items (10)

Generalized polarization modules ⋮ Extending tensors on polar manifolds ⋮ Projective normality of Weyl group quotients ⋮ A higher-dimensional Chevalley restriction theorem for orthogonal groups ⋮ Towards a symplectic version of the Chevalley restriction theorem ⋮ Maximality of Laplacian algebras, with applications to invariant theory ⋮ Syzygies for the vector invariants of the dihedral group ⋮ On polarizations in invariant theory ⋮ The Noether numbers and the Davenport constants of the groups of order less than 32 ⋮ On the Hitchin morphism for higher-dimensional varieties

Cites Work

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• Adherences d'orbite et invariants
• Conjugacy classes of n-tuples in Lie algebras and algebraic groups
• Invariant Differential Operators on a Reductive Lie Algebra and Weyl Group Representations
• Basic sets of invariant polynomials for finite reflection groups
• Invariants of Finite Groups Generated by Reflections

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