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Results tagged with lie-groups
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user 65
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
6
votes
Is a quotient of a reductive group reductive?
I'm kind of late to the party, but anyway: being reductive means having no nilradical. Now nilradical cannot become larger as you take quotient, ergo your question has a positive answer.
- 15.1k
3
votes
Learning about Lie groups
There are many courses, including something about Lie groups at J.Milne's page: jmilne.org
4
votes
What is the symbol of a differential operator?
The definition of symbol as presented in Wikipedia is not invariant — only the highest order terms. Some textbooks call those higher order terms symbols (Wikipedia suggests the name principal symbol), …
- 15.1k
21
votes
5
answers
1k
views
Explanation for E_8's torsion
To study the topology of Lie groups, you can decompose them into the simple compact ones, plus some additional steps, such as taking the cover if necessary. After that, the structure of $SO(n)$'s is r …
- 15.1k