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

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.

References in corpus (1)

• Invariant Subspaces of Nilpotent Linear Operators. I

Cited by in corpus (5)

• The boundary of the irreducible components for invariant subspace varieties
• Box moves on Littlewood-Richardson tableaux and an application to invariant subspace varieties
• Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators. Part II
• Arc diagram varieties
• Two Partial Orders for Standard Young Tableaux