Volume no :12, Issue no: 1, September (2014)

SOME RESULTS ON A PARTIAL ORDER OF WORD TABLEAUX

Author's: Takashi Maeda
Pages: [39] - [83]
Received Date: September 5, 2014
Submitted by:

Abstract

For a nilpotent linear transformation of Jordan type equal to the conjugate of let be the subvariety of a Grassmannian, whose generic point is the subspace spanned by the generic vectors for all cells of a skew tableau T in We express the affine coordinates of for a word tableau T by a product of matrices, and prove two theorems concerning an ordering of word tableaux.

Keywords

Jordan types, Grassmannian, Littlewood-Richardson tableaux.