Atomic bases in cluster algebras of types A and \widetilde A

2011/06/19 by Grégoire Dupont, Hugh Thomas, Dupont, Grégoire +1 · 1 citation
Mathematics · #05A15 #13F60 #16G20 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.CO #math.RA #math.RT #msc:05A15 #msc:13F60 #msc:16G20

paper · pdf · doi:10.48550/arxiv.1106.3758

25 pages

arxiv created 2011/06/19 · openalex publication_date 2011/06/19 · arxiv updated 2011/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give explicit atomic bases of arbitrary coefficient-free cluster algebras of types A and \widetilde A.

Citations

• Positivity in skew-symmetric cluster algebras of finite type
• Quivers with potentials and their representations I: Mutations
• Positivity for cluster algebras from surfaces
• On triangulated orbit categories

Cited by

• Acyclic cluster algebras from a ring theoretic point of view

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