NO : 18 TITLE : ‘ CLOSED H - ORBITS IN G - VARIETIES ’ AUTHOR ( S ) : Dr
نویسنده
چکیده
Let G be a linear algebraic group, H a closed subgroup of G and X a G-variety. This paper explores the connection between G-orbits and H-orbits in X, concentrating in particular on the question of when we have the implications G · x closed in X implies H · x closed in X, and vice versa. Some of the general results found in this paper are then used in the special case where G and H are reductive and X is affine to extend two classical results of Luna from characteristic zero to arbitrary characteristic.
منابع مشابه
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تاریخ انتشار 2013