The existence of greedy bases in rank 2 quantum cluster algebras

Abstract

We establish the existence of a quantum lift of the greedy basis.

References in corpus (5)

• A positive basis for surface skein algebras
• Purity for graded potentials and quantum cluster positivity
• Greedy bases in rank 2 quantum cluster algebras
• Positivity in skew-symmetric cluster algebras of finite type
• Atomic bases in cluster algebras of types A and $\tilde{A}$

Cited by in corpus (1)

• Triangular bases in quantum cluster algebras and monoidal categorification conjectures