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Journal of Lie Theory 15 (2005), No. 1, 105--123
Copyright Heldermann Verlag 2005

Irreducible Linear Group-Subgroup Pairs with the same Invariants

S. Solomon
Department of Mathematics, Hebrew University, Givat Ram, Jerusalem, Israel

We consider the problem of finding all linear algebraic group-subgroup pairs such that the rational invariants of the group and of the subgroup coincide. In this paper the solution will be given for the case where both the group and the subgroup are connected complex irreducible linear groups.

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