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

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

2012-02-13

arxiv.org/abs/1202.2813v1

Mathematics

Representation Theory

Scientific paper

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.

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