Combinatorics of faithfully balanced modules
Representation Theory
2019-09-09 v2 Combinatorics
Abstract
We study and classify faithfully balanced modules for the algebra of lower triangular by matrices. The theory extends known results about tilting modules, which are classified by binary trees, and counted with the Catalan numbers. The number of faithfully balanced modules is a -factorial number. Among them are modules with indecomposable summands, which can be classified by interleaved binary trees or by increasing binary trees.
Cite
@article{arxiv.1905.00613,
title = {Combinatorics of faithfully balanced modules},
author = {William Crawley-Boevey and Biao Ma and Baptiste Rognerud and Julia Sauter},
journal= {arXiv preprint arXiv:1905.00613},
year = {2019}
}
Comments
28 pages, 5 figures