ON PAIRED ROOT SYSTEMS OF COXETER GROUPS

DOI10.1017/S1446788717000350zbMath1499.20095arXiv1301.3993OpenAlexW2963341998MaRDI QIDQ4554594

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Publication date: 9 November 2018

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

Full work available at URL: https://arxiv.org/abs/1301.3993

zbMATH Keywords

Coxeter groupsroot systemsTits coneKac-Moody Lie algebras

Mathematics Subject Classification ID

Geometric group theory (20F65) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Root systems (17B22)

Related Items (3)

Imaginary cones and limit roots of infinite Coxeter groups ⋮ On reflection representations of Coxeter groups over non-commutative rings ⋮ Imaginary cone and reflection subgroups of Coxeter groups

Cites Work

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• Reflection subgroups of Coxeter systems
• Computation in Coxeter groups. I: Multiplication
• Groups with a root group datum.
• NONORTHOGONAL GEOMETRIC REALIZATIONS OF COXETER GROUPS
• Combinatorics of Coxeter Groups
• Computation in Coxeter groups II. Constructing minimal roots
• On Infinite Root Systems
• On the root system of a coxeter group
• Asymptotical Behaviour of Roots of Infinite Coxeter Groups

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