Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators
Representation Theory
2019-06-27 v2
Abstract
We study geometric properties of varieties associated with invariant subspaces of nilpotent operators. There are reductive algebraic groups acting on these varieties. We give dimensions of orbits of these actions. Moreover, a combinatorial characterization of the partial order given by degenerations is described.
Keywords
Cite
@article{arxiv.1202.2813,
title = {Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators},
author = {Justyna Kosakowska and Markus Schmidmeier},
journal= {arXiv preprint arXiv:1202.2813},
year = {2019}
}