Invariant theory and eigenspaces for unitary reflection groups.

DOI10.1016/S1631-073X(03)00192-4zbMath1056.13007MaRDI QIDQ1408169

Jean Michel, Gustav Isaac Lehrer

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

eigenspacespolynomial invariantsunitary reflection groups

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Actions of groups on commutative rings; invariant theory (13A50) Orthogonal and unitary groups in metric geometry (51F25)

Related Items

Generalized exponents and forms, Pseudo-reflection groups and essential dimension, Matrix factorisations arising from well-generated complex reflection groups, Exterior algebra structure on relative invariants of reflection groups, A refined count of Coxeter element reflection factorizations, Cyclic sieving of noncrossing partitions for complex reflection groups., Supports of irreducible spherical representations of rational Cherednik algebras of finite Coxeter groups. (With an appendix by Stephen Griffeth)., On non-conjugate Coxeter elements in well-generated reflection groups, Braid groups of imprimitive complex reflection groups., Power sum decompositions of defining equations of reflection arrangements, Relative invariants: an exterior algebra., Reflection Groups, Generalized exponents and forms., Finite complex reflection arrangements are \(K(\pi,1)\)

Cites Work

• Unitary reflection groups and cohomology
• Regular elements of finite reflection groups
• Reflection Subquotients of Unitary Reflection Groups
• Differential Equations Invariant Under Finite Reflection Groups
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