Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.15822 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- This paper studies the wall and chamber structure of algebras via generic decompositions of g-vectors. Specifically, we examine points outside the chambers of the wall and chamber structure of ($τ$-tilting infinite) finite-dimensional algebras. We demonstrate that the cones of g-vectors are both rational and simplicial. Moreover, we show that the open cone of a given g-vector and the interior of its TF-equivalence class coincide if and only if they are of the same dimension. Furthermore, we establish that g-vectors satisfy the ray condition when sufficiently far from the origin. These results allow us to generalize several findings by Asai and Iyama regarding TF-equivalence classes of g-vectors.