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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.
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 …
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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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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 …
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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 …
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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 …
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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 …
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