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Results tagged with lie-groups
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user 9672
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
43
votes
Why study Lie algebras?
Lie's motivation for studying Lie groups and Lie algebras was the solution of differential equations. Lie algebras arise as the infinitesimal symmetries of differential equations, and in analogy with …
- 5,654
6
votes
Accepted
Reference request about the representations of the group $PSL_2(\mathbb{F}_q)$
Jeff Adams has comprehensive notes on his website:
http://www.math.umd.edu/~jda/characters/characters.pdf
The irreducible characters of the groups SL(2), PGL(2), GL(2) and PSL(2) over finite fields a …
- 5,654
1
vote
Parameterizing rotations of a cube
$SO(3)$ acts transitively on the space of all orthonormal oriented bases (these are ordered up to an even permutation). The stabilizer of the standard basis is exactly your subgroup $H$. So $X = SO(3) …
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