Presentations of groups with even length relations

DOI10.1080/00927872.2021.1955903zbMath1505.20030arXiv1909.10494OpenAlexW3193713632MaRDI QIDQ5027490

Isobel Webster

Publication date: 4 February 2022

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

Full work available at URL: https://arxiv.org/abs/1909.10494

zbMATH Keywords

parabolic subgroupsgroup presentationsreflection groupscluster algebras

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Cluster algebras (13F60)

Cites Work

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• Lecture notes on cluster algebras
• Planar graphs and presentations of braid groups
• Cluster algebras. II: Finite type classification
• A lattice isomorphism theorem for cluster groups of mutation-Dynkin type \(A_{n}\)
• Braid groups and quiver mutation
• Coxeter groups, quiver mutations and geometric manifolds
• Canonical bases for fundamental modules of quantized enveloping algebras of type a
• Adinkra (in)equivalence from Coxeter group representations: A case study
• Reflection group presentations arising from cluster algebras
• Inversion tables and minimal left coset representatives for Weyl groups of classical type