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Results tagged with lie-groups
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user 6355
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
6
votes
Accepted
schur weyl duality for real orthogonal groups and relation to hyperoctahedral groups
The $O(n)$ version of Schur-Weyl duality involves Brauer algebras, the structure of which was not worked out completely until the 1980s by Hans Wenzl (Ann. of Math. (2) 128 (1988), no. 1, 173–193.) S …
- 1,639
5
votes
Accepted
How does one relate the monodromy of the KZ equations with the WRT representation of the bra...
What I will say is just for quantum $SL(2)$ with $V$ being the 2-dimensional representation (or the analogous object in the representation category). Let us denote by $H$ the quantum group. For $q$ …
- 1,639
2
votes
How to calculate symmetric tensor products of SO(10) representations?
I think you can probably prove this by induction using Littelmann paths. Since the (16 dimensional) spin rep is minuscule, you can at least figure out the tensor powers by adding up weights of the fo …
- 1,639