@article{oai:u-ryukyu.repo.nii.ac.jp:02003678, author = {Maeda, Takashi and 前田, 髙士 and 前田, 高士}, journal = {Ryukyu mathematical journal}, month = {Dec}, note = {For a nilpotent linear transformation $f:V\to V$ of type $\lambda$ let $S(V,T)$ be the set of $f$-stable subspaces $W$ associated to an LR (Littlewood-Richardson)-tableau $T$, i.e. $W$'s such that dim $f^{r-1}V\cap f^{t-1}W/\langle f^rV\cap f^{t-1}W,f^{r-1}\cap f^tW\rangle$ is equal to the number of cells (squares) of $T$ filled with the letter $t$ in the $r$th row for all $t$ and $r$. Let $G(\lambda)$ be the subgroup of GL($V$) consisting of elements commuting with $f$. It is given an example of $S(V,T)$ that does not have a dense $G(\lambda)$-orbit., 紀要論文}, pages = {1--8}, title = {A REMARK ON THE VARIETIES OF SUBSPACES STABLE UNDER A NILPOTENT TRANSFORMATION}, volume = {20}, year = {2007} }