Invariants of reflection groups, arrangements, and normality of decomposition classes in Lie algebras

DOI10.1112/S0010437X11007512zbMath1253.20038arXiv1007.1350OpenAlexW2962727228WikidataQ115256461 ScholiaQ115256461MaRDI QIDQ2894209

J. Matthew Douglass, Gerhard Röhrle

Publication date: 29 June 2012

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1350

zbMATH Keywords

arrangementsinvariantsfinite Coxeter groupsfinite complex reflection groupssemisimple Lie algebrasinvariant polynomial functionsdecomposition classes

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Actions of groups on commutative rings; invariant theory (13A50) Simple, semisimple, reductive (super)algebras (17B20) Configurations and arrangements of linear subspaces (14N20)

Related Items (4)

Quotients for Sheets of Conjugacy Classes ⋮ Affine hyperplane arrangements and Jordan classes ⋮ Restricting invariants of unitary reflection groups ⋮ Local geometry of Jordan classes in semisimple algebraic groups

Cites Work

• Über Schichten halbeinfacher Lie-Algebren
• Coxeter arrangements are hereditarily free
• Regular elements of finite reflection groups
• Regular elements and monodromy of discriminants of finite reflection groups
• CHEVIE -- A system for computing and processing generic character tables
• Normalizers of Parabolic Subgroups of Reflection Groups
• Decomposition Varieties in Semisimple Lie Algebras
• The adjoint representation of a reductive group and hyperplane arrangements

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