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Benjamin
Benjamin
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Given $A,B \in \mathfrak{su}(n)$ such that $K(A, B)=0$, I am looking for the largest subgroup $H$ of $SU(n)$ for which:

$K \left(A, Ad_{U}(B) \right) = 0, \ \ \forall U \in H$ where $K$ is the Killing form. Finding the lieLie algebra of $H$ would be desirable.

Given $A,B \in \mathfrak{su}(n)$ such that $K(A, B)=0$, I am looking for the largest subgroup $H$ of $SU(n)$ for which:

$K \left(A, Ad_{U}(B) \right) = 0, \ \ \forall U \in H$ where $K$ is the Killing form. Finding the lie algebra of $H$ would be desirable.

Given $A,B \in \mathfrak{su}(n)$ such that $K(A, B)=0$, I am looking for the largest subgroup $H$ of $SU(n)$ for which:

$K \left(A, Ad_{U}(B) \right) = 0, \ \ \forall U \in H$ where $K$ is the Killing form. Finding the Lie algebra of $H$ would be desirable.

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Benjamin
Benjamin
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Largest subgroup of $SU(n)$ for which the adjoint action preserves specific inner product on $\mathfrak{su}(N)$

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Benjamin
Benjamin
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Largest subgroup of $SU(n)$ for which the adjoint action preserves inner product on $\mathfrak{su}(N)$

Given $A,B \in \mathfrak{su}(n)$ such that $K(A, B)=0$, I am looking for the largest subgroup $H$ of $SU(n)$ for which:

$K \left(A, Ad_{U}(B) \right) = 0, \ \ \forall U \in H$ where $K$ is the Killing form. Finding the lie algebra of $H$ would be desirable.