Mathematics – Representation Theory
Scientific paper
2005-03-15
Mathematics
Representation Theory
27 pages, a part of PhD thesis
Scientific paper
The main theorem of Galois theory states that there are no finite group-subgroup pairs with the same invariants. On the other hand, if we consider complex linear reductive groups instead of finite groups, the analogous statement is no longer true: There exist counterexample group-subgroup pairs with the same invariants. However, it's possible to classify all these counterexamples for certain types of groups. In [16], we provided the classification for connected complex irreducible groups, and, in this paper, for connected complex orthogonal groups, i.e., groups that preserve some non-degenerate quadratic form.
No associations
LandOfFree
Orthogonal linear group-subgroup pairs with the same invariants does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Orthogonal linear group-subgroup pairs with the same invariants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orthogonal linear group-subgroup pairs with the same invariants will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-316524