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Results tagged with lie-groups
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user 13767
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
12
votes
3
answers
2k
views
What is a good introduction to branching rules in representation theory?
I'm looking for a book or introductory article, that explains branching rules in representation theory of real Lie groups.
When a Lie group has a set of irreducible representations, I'd like to know h …
- 5,565
4
votes
1
answer
1k
views
When are induction and coinduction of representations of Lie groups isomorphic? When they ar...
This is in a sense a follow up on the popular question Induction and Coinduction of Representations, where this particular question is one of several points, and it is neglected.
It seems that the re …
- 5,565
2
votes
1
answer
260
views
From the representation category of a Lie group and the representation on a homogeneous spac...
Given a Lie group $G$ and a transitive action $- \triangleright - : G \times X \to X$ on a homogeneous space, we can recover the stabiliser subgroup $H_x$ of a point $x \in X$. It is the subgroup of $ …
- 5,565
0
votes
Accepted
From the representation category of a Lie group and the representation on a homogeneous spac...
I understand it for finite groups now, and I suspect that it's similar for semisimple Lie groups.
These statements are equivalent, and true for finite groups:
The adjunction $\operatorname{Res} \da …
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