Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators
Representation Theory
2017-01-02 v1
Abstract
For the algebra L= K <x, d/dx, \int> of polynomial integro-differential operators over a field K of characteristic zero, a classification of indecomposable, generalized weight L-modules of finite length is given. Each such module is an infinite dimensional uniserial module. Ext-groups are found between indecomposable generalized weight modules, it is proven that they are finite dimensional vector spaces.
Cite
@article{arxiv.1612.09391,
title = {Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators},
author = {Vladimir Bavula and Victor Bekkert and Vyacheslav Futorny},
journal= {arXiv preprint arXiv:1612.09391},
year = {2017}
}