@article{oai:u-ryukyu.repo.nii.ac.jp:02005429, author = {Maeda, Takashi and 前田, 高士}, journal = {Ryukyu mathematical journal}, month = {Dec}, note = {A twisted Grassmann variety (a form of Grassmann variety), which is the variety representing the functor of right ideals of prescribed rank in a central simple algebra over a field, is represented by a linear section of a Grassmann variety (Theorem A). The Severi-Brauer schemes of some R-orders in the matrix ring M_4(R) of degree 4 over a regular local ring R are constructed (Theorem B). The variety of rank 4 right ideals of the associative k-algebra generated by x,y with the relations x^4 = y^4 = 0 and yx = √<-1>xy is described (Theorem C)., 紀要論文}, pages = {25--52}, title = {A realization of twisted Grassmann varieties}, volume = {11}, year = {1998} }