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Results tagged with classical-groups
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user 4231
13
votes
Connectedness of the linear algebraic group SO_n
[EDIT: I've tightened my wording and added a couple of references which I went back to out of curiosity.]
Will's answer has the elements needed for a concrete reply to the question, but the question …
- 52.9k
9
votes
Describing Levi factors and unipotent radicals of parabolic subgroups in classical groups
I'll assume here that $G$ is reductive (or even semisimple), since otherwise the description of unipotent radicals is more open-ended.
There is actually quite a bit of literature over the years, ofte …
- 52.9k
5
votes
unipotent class in classical lie algebra bala-carter
I don't understand why you refer here to Bala-Carter, since their method provides a different approach to the traditional Dynkin classification and is formulated for semisimple groups (over algebraica …
- 52.9k
4
votes
Accepted
Hilbert's Finiteness Theorem for connected semisimple Lie groups in Weyl's "Classical Groups"
Your basic question about a reference does go back to Weyl's complete reducibility theorem (I'd have to check his book on classical groups, but it isn't just a result about classical Lie groups). F …
- 52.9k
2
votes
What is the subgroup generated by involutions?
Maybe I can comment on Question 2. To me the essential point is that this kind of result belongs to elementary linear algebra and basic group theory rather than to geometric algebra. Generation of s …
- 52.9k
2
votes
Is the size of a conjugacy class in a finite classical group a polynomial?
I agree that the question needs a better formulation. In any case, an approach by Demetris Deriziotis might be useful because it's based on a different kind of analysis: see here (freely availab …
- 52.9k