| | |
| | |
Stat |
Members: 3667 Articles: 2'599'751 Articles rated: 2609
16 February 2025 |
|
| | | |
|
Article overview
| |
|
Fans and polytopes in tilting theory II: $g$-fans of rank 2 | Toshitaka Aoki
; Akihiro Higashitani
; Osamu Iyama
; Ryoichi Kase
; Yuya Mizuno
; | Date: |
4 Jan 2023 | Abstract: | $g$-fan of a finite dimensional algebra is a fan in its real Grothendieck
group defined by tilting theory. We give a classification of complete $g$-fans
of rank 2. More explicitly, our first main result asserts that every complete
sign-coherent fan of rank 2 is a $g$-fan of some finite dimensional algebra.
Our proof is based on three fundamental results, Gluing Theorem, Rotation
Theorem and Subdivision Theorem, which realize basic operations on fans in the
level of finite dimensional algebras. Our second main result gives a necessary
and sufficient condition for algebras of rank 2 to be $g$-convex. | Source: | arXiv, 2301.01498 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|