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Results tagged with lie-groups
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user 34884
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
15
votes
2
answers
2k
views
Isomorphism between Spin(3,2) and Sp(4, R)
I've been using the fact that Spin(3,2) is isomorphic to Sp(4, R) for a while, but I've never seen a proof. Can anyone point me in the direction of a good reference?
- 393
3
votes
1
answer
919
views
Iwasawa decomposition of the pseudo-orthogonal group
This is a soft-question, but I haven't found an answer anywhere: do the factors of the Iwasawa decomposition of the pseudo-orthogonal group SO(p, q) have a simple form, in the same way that the facto …
- 393
2
votes
orbits of automorphism group for indefinite lattices
There's a simple criterion for equivalence of two vectors in a lattice if the lattice contains two copies of the hyperbolic plane: you look at the length of the vector and its image in the discriminan …
- 393