English

A multiplication formula for module subcategories of Ext-symmetry

Representation Theory 2009-02-03 v2 Rings and Algebras

Abstract

We define evaluation forms associated to objects in a module subcategory of Ext-symmetry generated by finitely many simple modules over a path algebra with relations and prove a multiplication formula for the product of two evaluation forms. It is analogous to a multiplication formula for the product of two evaluation forms associated to modules over a preprojective algebra given by Geiss, Leclerc and Schr\"oer in \cite{GLS2006}.

Keywords

Cite

@article{arxiv.0804.2014,
  title  = {A multiplication formula for module subcategories of Ext-symmetry},
  author = {Jie Xiao and Fan Xu},
  journal= {arXiv preprint arXiv:0804.2014},
  year   = {2009}
}

Comments

12 pages

R2 v1 2026-06-21T10:30:12.925Z