On a relative version of a theorem of Bogomolov over perfect fields and its applications
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- 作者：Dao Phuong Bac ; Nguyen Quoc Thang
- 关键词：Geometric invariant theory ; Instability ; Representation theory ; Observable subgroups ; Quasi-parabolic subgroups ; Subparabolic subgroups
- 刊名：Journal of Algebra
- 出版年：2010
- 出版时间：15 September 2010
- 年：2010
- 卷：324
- 期：6
- 页码：1259-1278
- 全文大小：290 K
文摘
In this paper, we investigate some aspects of representation theory of reductive groups over non-algebraically closed fields. Namely, we state and prove relative versions of a well-known theorem of Bogomolov and derive from it as consequence, a relative version of a theorem of Sukhanov, which are related to observable subgroups of linear algebraic groups over non-algebraically closed perfect fields.