Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators

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...

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Bibliographic Details
Published in:	arXiv.org
Main Authors:	Kosakowska, Justyna, Schmidmeier, Markus
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 26.06.2013
Subjects:	Combinatorial analysis Group theory Invariants Linear operators Subspaces
ISSN:	2331-8422
Online Access:	Get full text
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Summary:	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.
Bibliography:	SourceType-Working Papers-1 ObjectType-Working Paper/Pre-Print-1 content type line 50
ISSN:	2331-8422
DOI:	10.48550/arxiv.1202.2813