Complex reflection groups

DOI10.1080/00927879008824120zbMath0726.20028OpenAlexW1973287519MaRDI QIDQ3348198

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Publication date: 1990

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879008824120

zbMATH Keywords

root graphsCoxeter graphcomplex reflection groupsvector graphscomplex root systemsCohen's root graphsextended Cohen diagramsprimary roots

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

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Presentations for crystallographic complex reflection groups ⋮ Automorphisms of \(P_8\) singularities and the complex crystallographic groups ⋮ Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds. II ⋮ Kazhdan-Lusztig polynomials and character formula for the Lie superalgebra \({\mathfrak {gl}}(m\mid n)\) ⋮ Certain imprimitive reflection groups and their generic versions ⋮ A new approach to the construction of subsystems of complex root systems. ⋮ Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds ⋮ On Coxeter diagrams of complex reflection groups ⋮ Representations of the imprimitive complex reflection groups G(m, 1n) ⋮ Complex equifocal submanifolds and infinite-dimensional anti-Kählerian isoparametric submanifolds ⋮ Generalized nil-Coxeter algebras over discrete complex reflection groups ⋮ Normalizer of parabolic aubgroups in unitary reflection groups ⋮ Extended root graphs for complex reflection groups

Cites Work

• Finite groups generated by unitary reflections
• Finite Unitary Reflection Groups