Artin group presentations arising from cluster algebras

DOI10.1007/s10468-016-9657-9zbMath1408.13056arXiv1410.3530OpenAlexW2964237366MaRDI QIDQ2364504

David Hemminger, Hailee Peck, Aaron Landesman, Jacob Haley

Publication date: 21 July 2017

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3530

zbMATH Keywords

Artin groupcluster algebradiagram representations

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Reflection groups, reflection geometries (51F15) Cluster algebras (13F60)

Related Items (5)

Interval groups related to finite Coxeter groups. I ⋮ Interval groups related to finite Coxeter groups Part II ⋮ Isomorphism and non-isomorphism for interval groups of type \(D_n\) ⋮ A lattice isomorphism theorem for cluster groups of mutation-Dynkin type \(A_{n}\) ⋮ Quiver mutations and Boolean reflection monoids

Cites Work

• Cluster algebras. II: Finite type classification
• Braid groups and quiver mutation
• An introduction to right-angled Artin groups.
• Cluster algebras I: Foundations
• Coxeter Groups and their Quotients Arising from Cluster Algebras
• Reflection group presentations arising from cluster algebras
• The Braid Groups.

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