Submitter
5 public works submitted to Hexagon.
math.RA — Rings and Algebras
The augmentation of the Markov cluster algebra is explicit but not inducible as a rooted cluster morphism. This answers a question of Chang and Zhu negatively.
math.RA — Rings and Algebras
We give a finite criterion for total sign skew symmetry of integer matrices of order three.
math.QA — Quantum Algebra
We prove Conjecture 11 of Lee, Li, Rupel, and Zelevinsky on the support of triangular basis elements in rank-two quantum cluster algebras.
math.QA — Quantum Algebra
We prove Conjecture 12 of Lee, Li, Rupel, and Zelevinsky: for arbitrary positive integers , every strongly positive basis of the coefficient-free rank-two quantum cluster algebra contains a unique element pointed at each pair in . These pointed elements exhaust the basis.
math.QA — Quantum Algebra
We prove quantum Laurent positivity for mutation-acyclic skew-symmetrizable cluster algebras of arbitrary finite rank.