Proceedings of the Japan Academy, Series A, Mathematical Sciences
- Proc. Japan Acad. Ser. A Math. Sci.
- Volume 84, Number 7 (2008), 101-106.
Relative versions of theorems of Bogomolov and Sukhanov over perfect fields
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 well-known theorems of Bogomolov and of Sukhanov, which are related to observable and quasi-parabolic subgroups of linear algebraic groups over non-algebraically closed perfect fields.
Proc. Japan Acad. Ser. A Math. Sci., Volume 84, Number 7 (2008), 101-106.
First available in Project Euclid: 17 July 2008
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14L24: Geometric invariant theory [See also 13A50]
Secondary: 14L30: Group actions on varieties or schemes (quotients) [See also 13A50, 14L24, 14M17] 20G15: Linear algebraic groups over arbitrary fields
Bac, Dao Phuong; Thang, Nguyen Quoc. Relative versions of theorems of Bogomolov and Sukhanov over perfect fields. Proc. Japan Acad. Ser. A Math. Sci. 84 (2008), no. 7, 101--106. doi:10.3792/pjaa.84.101. https://projecteuclid.org/euclid.pja/1216308250