Multi-graded nilpotent tuples
Representation Theory
2018-12-05 v3
Abstract
We discuss multi-graded nilpotent tuples of multi-graded vector spaces which are a generalization of graded nilpotent pairs. The multi-grading yields a natural notion of a shape of such tuple and our main interest is to answer the question "Is the number of multi-graded nilpotent tuples of a fixed shape, up to base change in the homogeneous components, finite?" Our methods make use of a translation to the class of so-called "Multi-staircase algebras" and we classify their representation types.
Cite
@article{arxiv.1609.08593,
title = {Multi-graded nilpotent tuples},
author = {Magdalena Boos},
journal= {arXiv preprint arXiv:1609.08593},
year = {2018}
}
Comments
Follow up on arXiv:1509.04584. Comments welcome