Jacobians of reflection groups

DOI10.1090/S0002-9947-07-04379-6zbMath1129.13003arXivmath/0405135MaRDI QIDQ5423900

Anne V. Shepler, Julia Hartmann

Publication date: 1 November 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405135

zbMATH Keywords

Coxeter groupmodularinvariant theoryhyperplane arrangementpointwise stabilizer

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (5)

Invariants of hyperplane groups and vanishing ideals of finite sets of points ⋮ Invariants of polynomials mod Frobenius powers ⋮ Invariant differential derivations for reflection groups in positive characteristic ⋮ Exterior algebra structure on relative invariants of reflection groups ⋮ Modular invariants of finite gluing groups

Cites Work

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• The finite irreducible linear groups with polynomial ring of invariants
• Calculating invariant rings of finite groups over arbitrary fields
• A primer on the Dickson invariants
• Invariants of Finite Reflection Groups
• Springer's regular elements over arbitrary fields
• Transvection free groups and invariants of polynomial tensor exterior algebras

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