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Results tagged with rt.representation-theory
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user 134552
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
3
votes
0
answers
123
views
Let $T$ be a maximal torus of $SU(k+1)$. Who is the normalizer $N(T)$ of $T$ in $O(2k+2)$?
I'm reading an article which I cannot understand a paragraph very well.
$T$ is a maximal torus of $SU(k+1)$ acting linearly on $\mathbb{C}^{k+1}$. And here is what is written that I cannot fully under …
- 169
2
votes
1
answer
93
views
Show that if $\Theta$ is an infinitesimal weight of a real $T$-module $W$ ($T$ is a torus) t...
Show that if $\Theta$ is an infinitesimal weight of a real $T$-module $W$ ($T$ is a torus) then $-\Theta$ is also a weight.
It is an exercise of Bröcker's book on Representations of Compact Lie Group …
- 169