arXiv:1202.2813 Abstract | arXiv Analytics

arXiv:1202.2813 [math.RT]Abstract References Reviews Resources

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

Published 2012-02-13, updated 2013-06-26Version 2

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.

Categories: math.RT

Subjects: 14L30, 16G20, 16G70, 47A15

Keywords: invariant subspaces, linear operators, arc diagrams, degenerations, operations

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