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Some integral representations of complex reflection groups

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Publication:1868748
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DOI10.1016/S0021-8693(02)00629-4zbMath1027.20003MaRDI QIDQ1868748

Walter Feit

Publication date: 28 April 2003

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


zbMATH Keywords

integral representationslatticescomplex reflection groupsfinite unitary groupsreflection representations


Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Integral representations of finite groups (20C10)


Related Items (4)

Sato–Tate groups of abelian threefolds: a preview of the classification ⋮ Geometric classification of 4d \( \mathcal{N}=2 \) SCFTs ⋮ Arithmetic invariants of pseudoreflection groups and regular graded algebras ⋮ \(N = 3\) SCFTs in 4 dimensions and non-simply laced groups



Cites Work

  • Unnamed Item
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  • The crystallography of Coxeter groups
  • Schur indices and splitting fields of the unitary reflection groups
  • A characterization of certain extreme forms
  • Finite complex reflection groups
  • Integral representations of Weyl groups rationally equivalent to the reflection representation
  • The root lattices of the complex reflection groups
  • Finite Unitary Reflection Groups


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