Abstract
For a nilpotent linear transformation f: V → V of Jordan type λ, let S(T) be the set of f-stable subspaces W of V associated with an LR (Littlewood–Richardson) tableau T. We show that (i) S(T) is a disjoint union of locally closed sets parametrized by LR-fillings of T, each of which is birationally isomorphic to an affine space, and that (ii) a~conjecture of Shimomura on semistandard d-tableaux in a rectangular diagram is true.
2010 Mathematics Subject Classification:
Notes
Communicated by K. Misra.