Atomic Bases and T-path Formula for Cluster Algebras of Type D

Emily Gunawan; Gregg Musiker

Atomic Bases and T-path Formula for Cluster Algebras of Type D

Emily Gunawan, Gregg Musiker

Mathematics

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

We extend a T-path expansion formula for arcs on an unpunctured surface to the case of arcs on a once-punctured polygon and use this formula to give a combinatorial proof that cluster monomials form the atomic basis of a cluster algebra of type D.

Original language	English (US)
Pages (from-to)	721-732
Number of pages	12
Journal	Discrete Mathematics and Theoretical Computer Science
State	Published - 2015
Event	27th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2015 - Daejeon, Korea, Republic of Duration: Jul 6 2015 → Jul 10 2015

Bibliographical note

Publisher Copyright:
© 2015 Discrete Mathematics and Theoretical Computer Science (DMTCS), Nancy, France

Keywords

Atomic basis
Cluster algebra
Triangulated surface

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KW - Triangulated surface

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Atomic Bases and T-path Formula for Cluster Algebras of Type D

Abstract

Bibliographical note

Keywords

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