Grothendieck Group and Generalized Mutation Rule for 2-Calabi--Yau Triangulated Categories
Representation Theory
2010-04-13 v2 Category Theory
K-Theory and Homology
Abstract
We compute the Grothendieck group of certain 2-Calabi--Yau triangulated categories appearing naturally in the study of the link between quiver representations and Fomin--Zelevinsky's cluster algebras. In this setup, we also prove a generalization of Fomin--Zelevinsky's mutation rule.
Keywords
Cite
@article{arxiv.0803.3907,
title = {Grothendieck Group and Generalized Mutation Rule for 2-Calabi--Yau Triangulated Categories},
author = {Yann Palu},
journal= {arXiv preprint arXiv:0803.3907},
year = {2010}
}
Comments
15 pages, a mistake in the references has been corrected