Journal of Lie Theory

no. 1
Irreducible Linear Group-Subgroup Pairs with the same Invariants
Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 105-123
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.
DOI: 10.5802/jolt.363
Classification: 14L30, 13A50, 15A72, 20G05, 20G20
Keywords: algebraic groups, rational invariants, linear actions 
@article{JOLT_2005_15_1_a7,
     author = {S. Solomon},
     title = {Irreducible {Linear} {Group-Subgroup} {Pairs} with the same {Invariants}},
     journal = {Journal of Lie Theory},
     pages = {105--123},
     year = {2005},
     volume = {15},
     number = {1},
     doi = {10.5802/jolt.363},
     zbl = {1098.14035},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.363/}
}
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S. Solomon. Irreducible Linear Group-Subgroup Pairs with the same Invariants. Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 105-123. doi: 10.5802/jolt.363

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