The Jacobians and the discriminants of finite reflection groups

DOI10.2748/tmj/1178227822zbMath0679.20042OpenAlexW2060706685MaRDI QIDQ1822630

Hiroaki Terao

Publication date: 1989

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227822

zbMATH Keywords

Jacobiandiscriminantfinite reflection groupsymmetric algebrainvariant subringreflection arrangementinvariant derivations

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

Related Items (7)

Generalized exponents and forms ⋮ Periodicity of hyperplane arrangements with integral coefficients modulo positive integers ⋮ Characteristic polynomials of linial arrangements for exceptional root systems ⋮ Principal Galois orders and Gelfand-Zeitlin modules ⋮ Generalized exponents and forms. ⋮ Why the characteristic polynomial factors ⋮ On characteristic polynomials of subspace arrangements

Cites Work

• A formula for the characteristic polynomial of an arrangement
• Free arrangements of hyperplanes over an arbitrary field
• Generalized exponents of a free arrangement of hyperplanes and Shepherd- Todd-Brieskorn formula
• Lifting smooth homotopies of orbit spaces
• Unitary reflection groups and cohomology
• Free arrangements of hyperplanes and unitary reflection groups
• Einfach-elliptische Singularitäten
• Relative invariants of finite groups generated by pseudoreflections
• Invariants of Finite Reflection Groups
• INDICES OF SINGULAR POINTS OF 1-FORMS ON A MANIFOLD WITH BOUNDARY, CONVOLUTION OF INVARIANTS OF REFLECTION GROUPS, AND SINGULAR PROJECTIONS OF SMOOTH SURFACES
• Wave front evolution and equivariant Morse lemma
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• Invariants of Finite Groups Generated by Reflections
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