The Hessian map in the invariant theory of reflection groups

DOI10.1017/S0027763000002737zbMath0614.20033MaRDI QIDQ4722262

Louis Solomon, Peter Orlik

Publication date: 1988

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

invariantsCoxeter grouppolynomial functionsHessian matrixmodule of derivationsdifferential 1-formsfinite unitary reflection group

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Vector and tensor algebra, theory of invariants (15A72) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Reflection groups, reflection geometries (51F15)

Related Items

Frobenius manifolds on orbits spaces ⋮ Stratification of the discriminant in reflection groups ⋮ Complex reflection groups, logarithmic connections and bi-flat \(F\)-manifolds ⋮ Milnor fiber complexes for Shephard groups ⋮ Discriminants in the invariant theory of reflection groups ⋮ A Dubrovin-Frobenius manifold structure of NLS type on the orbit space of \(B_n\) ⋮ Geometric theory of invariants of groups generated by reflections

Cites Work

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• The symmetry groups of the regular complex polygons
• Unitary reflection groups and cohomology
• Free arrangements of hyperplanes and unitary reflection groups
• Regular elements of finite reflection groups
• Discriminants in the invariant theory of reflection groups
• Unitary Groups Generated by Reflections
• Finite Unitary Reflection Groups