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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 4, Pages 515 - 556 (August 2018)
http://dx.doi.org/10.17654/NT040040515

THE BOUNDARIES OF THE SETS OF SUBSPACES STABLE UNDER A NILPOTENT LINEAR TRANSFORMATION

Takashi Maeda

Abstract:

Let be the nilpotent linear transformation of the vector space of Jordan type l. For a Littlewood-Richardson tableau T of shape and weight n such that let be the locally closed set of Grassmannian consisting of f-stable subspaces W of dimension n with the Jordan types of and W equal to m and n, respectively. We investigate the boundaries of the closures of in for and