Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors
A Padrol, Y Palu, V Pilaud… - Proceedings of the …, 2023 - Wiley Online Library
We show that the mesh mutations are the minimal relations among the gg‐vectors with
respect to any initial seed in any finite‐type cluster algebra. We then use this algebraic result …
respect to any initial seed in any finite‐type cluster algebra. We then use this algebraic result …
Quotient categories with exact structure from -rigid subcategories in extriangulated categories
In this work we introduce the notion of higher $\mathbb {E} $-extension groups for an
extriangulated category $\mathcal {C} $ and study the quotients $\mathcal {X} _ {n+ …
extriangulated category $\mathcal {C} $ and study the quotients $\mathcal {X} _ {n+ …
Semi-abelian categories arising from pseudo cluster tilting subcategories
J He, J He - arXiv preprint arXiv:2309.04075, 2023 - arxiv.org
The notion of a pseudo cluster tilting subcategory $\mathcal X $ in an extriangulated
category $\mathcal C $ is defined in this article. We prove that the quotient category …
category $\mathcal C $ is defined in this article. We prove that the quotient category …