Parabolic subgroup orbits on finite root systems

DOI10.1016/j.jpaa.2018.02.010zbMath1398.20048arXiv1708.00913OpenAlexW2963630038MaRDI QIDQ1651488

Matthew J. Dyer, Gustav Isaac Lehrer

Publication date: 12 July 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00913

zbMATH Keywords

root systemfinite Coxeter group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Root systems (17B22)

Related Items (3)

A note on sums of roots ⋮ Root systems, affine subspaces, and projections ⋮ A positive formula for the Ehrhart-like polynomials from root system chip-firing

Cites Work

• Embeddings of root systems. I: Root systems over commutative rings.
• Reflection subgroups of Coxeter systems
• A note on sums of roots
• Reflection subgroups of finite and affine Weyl groups
• Geometry of certain finite Coxeter group actions
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