Overgroups of Irreducible Linear Groups, Ii
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چکیده
Determining the subgroup structure of algebraic groups (over an algebraically closed field K of arbitrary characteristic) often requires an understanding of those instances when a group Y and a closed subgroup G both act irreducibly on some module V , which is rational for G and Y . In this paper and in Overgroups of irreducible linear groups, I (J. Algebra 181 (1996), 26–69), we give a classification of all such triples (G, Y, V ) when G is a non-connected algebraic group with simple identity component X, V is an irreducible Gmodule with restricted X-high weight(s), and Y is a simple algebraic group of classical type over K sitting strictly between X and SL(V ).
منابع مشابه
Overgroups of Irreducible Linear Groups, I
In work spread over several decades, Dynkin ([4, 3]), Seitz ([10, 11]), and Testerman ([16]) classified the maximal closed connected subgroups of simple algebraic groups. Their analyses for the classical group cases were based primarily on a striking result: If G is a simple algebraic group and φ : G SL V is a tensor indecomposable irreducible rational representation, then with specified except...
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تاریخ انتشار 1998