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Stefan Kohl ♦
Stefan Kohl ♦
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I am looking for a reference to the following statement "Let G$G$ be a reductive algebraic group and K$K$ a maximal compact subgroup of G$G$. If H$H$ is a dense subgroup in K$K$, then the centralizer of H$H$ in G$G$ is equal to the centralizer of K$K$ in G$G$ and they are equal to the center of G$G$." I have a proof but I think this is a known result, I can´t find a reference.

I am looking for a reference to the following statement "Let G be a reductive algebraic group and K a maximal compact subgroup of G. If H is a dense subgroup in K, then the centralizer of H in G is equal to the centralizer of K in G and they are equal to the center of G." I have a proof but I think this is a known result, I can´t find a reference.

I am looking for a reference to the following statement "Let $G$ be a reductive algebraic group and $K$ a maximal compact subgroup of $G$. If $H$ is a dense subgroup in $K$, then the centralizer of $H$ in $G$ is equal to the centralizer of $K$ in $G$ and they are equal to the center of $G$." I have a proof but I think this is a known result, I can´t find a reference.

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user88059
user88059
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I am looking for a reference to the following statement "Let G be a reductive algebraic group and K a maximal compact subgroup of G. If H is a dense subgroup in K, then the centralizer of H in G is equal to the centralizer of H in K in G and they are equal to the center of G." I have a proof but I think this is a known result, I can´t find a reference.

I am looking for a reference to the following statement "Let G be a reductive algebraic group and K a maximal compact subgroup of G. If H is a dense subgroup in K, then the centralizer of H in G is equal to the centralizer of H in K and they are equal to the center of G." I have a proof but I think this is a known result, I can´t find a reference.

I am looking for a reference to the following statement "Let G be a reductive algebraic group and K a maximal compact subgroup of G. If H is a dense subgroup in K, then the centralizer of H in G is equal to the centralizer of K in G and they are equal to the center of G." I have a proof but I think this is a known result, I can´t find a reference.

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user88059
user88059
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Centralizer of a dense subgroup in a maximal subgroup of a reductive group

I am looking for a reference to the following statement "Let G be a reductive algebraic group and K a maximal compact subgroup of G. If H is a dense subgroup in K, then the centralizer of H in G is equal to the centralizer of H in K and they are equal to the center of G." I have a proof but I think this is a known result, I can´t find a reference.