3 papers
math.RT2026
Linear independence of global monomials on positive spaces
Peigen Cao
In this paper, we prove that the global monomials on positive spaces are linearly independent. The approach is based on the study of the Newton polytopes of Laurent expansions. Our…
math.RT2026
Newton polytopes in cluster algebras and -tilting theory
Peigen Cao
We prove that the cluster monomials in non-initial cluster variables are uniquely determined by the Newton polytopes of their -polynomials for skew-symmetrizable cluster algebra…
math.RT2025
Modules determined by their Newton polytopes
Peigen Cao
In the -tilting theory, there exist two classes of foundamental modules: indecomposable -rigid modules and left finite bricks. In this paper, we prove the indecomposable -…