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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Vydáno v:arXiv.org
Hlavní autoři: Kosakowska, Justyna, Schmidmeier, Markus
Médium: Paper
Jazyk:angličtina
Vydáno: Ithaca Cornell University Library, arXiv.org 26.06.2013
Témata:
Combinatorial analysis
Group theory
Invariants
Linear operators
Subspaces
ISSN:2331-8422
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Shrnutí: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.
Bibliografie:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.1202.2813