Normalizer of parabolic aubgroups in unitary reflection groups

DOI10.1017/S0004972700039058zbMath1114.20306OpenAlexW2032613352MaRDI QIDQ3435383

Krishnasamy Muraleedaran

Publication date: 26 April 2007

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700039058

zbMATH Keywords

irreducible unitary reflection groupsnormalizers of parabolic subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

Related Items (3)

Parabolic degeneration of rational Cherednik algebras ⋮ On refined filtration by supports for rational Cherednik categories \(\mathcal {O}\) ⋮ Monodromy of Partial KZ Functors for Rational Cherednik Algebras

Cites Work

• Arrangements defined by unitary reflection groups
• Line graphs, root systems, and elliptic geometry
• Towards spetses. I
• On regularity of finite reflection groups
• Regular elements of finite reflection groups
• Finite groups generated by unitary reflections
• Complex reflection groups
• Normalizers of Parabolic Subgroups of Reflection Groups
• Reflection Subquotients of Unitary Reflection Groups
• Unitary Groups Generated by Reflections
• Finite Unitary Reflection Groups
• Quasi-parabolic subgroups of \(G(m,1,r)\).

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