Modulated semi-invariants
Representation Theory
2015-09-02 v2
Abstract
We prove the basic properties of determinantal semi-invariants for presentation spaces over any finite dimensional hereditary algebra over any field. These include the virtual generic decomposition theorem, stability theorem and the c-vector theorem which says that the c-vectors of a cluster tilting object are, up to sign, the determinantal weights of the determinantal semi-invariants defined on the cluster tilting objects. Applications of these theorems are given in several concurrently written papers.
Cite
@article{arxiv.1507.03051,
title = {Modulated semi-invariants},
author = {Kiyoshi Igusa and Kent Orr and Gordana Todorov and Jerzy Weyman},
journal= {arXiv preprint arXiv:1507.03051},
year = {2015}
}
Comments
41 pages, 1 figure, many minor changes, c-vector theorem redone