2024-04-15T06:26:32Z
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oai:u-ryukyu.repo.nii.ac.jp:02005429
2022-10-31T02:41:56Z
1642837622505:1642837628262:1642837632722
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A realization of twisted Grassmann varieties
Maeda, Takashi
前田, 高士
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
http://purl.org/coar/resource_type/c_6501
Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus
1998-12-30
VoR
http://hdl.handle.net/20.500.12000/16090
1344-008X
AA10779580
Ryukyu mathematical journal
11
52
25
eng
open access