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Results tagged with lie-groups
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user 85967
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
1
vote
Symplectic orbits in projective Hilbert spaces are simply connected
I do not have access to the article you are citing but I have made a little search and I think the answer to your question is yes (given that we are speaking about a non-compact, connected, semisimple …
- 12.9k
1
vote
Cosemisimple pointed Hopf algebras
Assuming that we are speaking about finite dimensional hopf algebras, the answer is yes:
Since $H$ is cosemisimple if and only if $H\cong Corad(H)$ (as coalgebras) and $H$ is pointed if and only if $C …
- 7,746
2
votes
The double cover in the classical limit of $U_q(\mathfrak{sl}_2)$
Well, i am not sure if this is what the OP is looking for but here is an heuristic method for computing the limit, avoiding the use of another algebra defined at $q=1$ and thus bypassing the "double c …
- 7,746
2
votes
How many three dimensional real Lie algebras are there?
Two more references on the original problem:
Classification of Three-Dimensional Real Lie Algebras, by Adam Bowers, and
Introduction to Lie Algebras, by Karin Erdmann, Mark J. Wildon (see ch. 3, se …
- 7,746
11
votes
Limiting representation theory of quantum groups at roots of unity and $SL(2,\mathbb{C})$
This is a very interesting question. I have also made some search but i have not found this result explicitly mentioned somewhere in the literature. However, i remember i have heard such a claim in th …
- 7,746
3
votes
Weyl's Branching Rule for $SU(N)$-Setting
Maybe the following paper might prove helpful to your question:
Masatoshi Yamazaki, Branching Diagram for Special Unitary Group SU(n), J. Phys. Soc. Jpn. 21, pp. 1829-1832 (1966)
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