Journal of Lie Theory Vol. 12, No. 1, pp. 301304 (2002) 

Note on Observable Subgroups of Linear Algebraic GroupsNazih NahlusNazih NahlusDepartment of Mathematics American University of Beirut c/o New York Office 850 Third Ave. 18th floor New York, New York 100226297 nahlus@aub.edu.lb Abstract: Let H be an algebraic subgroup of a linear algebraic group G over an algebraically closed field K. We show that H is observable in G (if) and only if there exists a finitedimensional rational Gmodule V and an element v of V such that H is the isotropy subgroup of v as well as the isotropy subgroup of the line Kv. Classification (MSC2000): Primary 20G05, 20G15, 22E45 Full text of the article:
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