The center of an algebraic group when the unipotent radical is abelian
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Let $G$ be a connected algebraic complex linear group, such that $G=R_ucdot S$ where $R_u$ is the unipotent radical and $S$ is the maximal semisimple subgroup.
If $R_u$ is abelian, then is it true that the center $Z$ of $G$ is not trivial?
lie-groups lie-algebras algebraic-groups
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up vote
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Let $G$ be a connected algebraic complex linear group, such that $G=R_ucdot S$ where $R_u$ is the unipotent radical and $S$ is the maximal semisimple subgroup.
If $R_u$ is abelian, then is it true that the center $Z$ of $G$ is not trivial?
lie-groups lie-algebras algebraic-groups
add a comment |Â
up vote
2
down vote
favorite
up vote
2
down vote
favorite
Let $G$ be a connected algebraic complex linear group, such that $G=R_ucdot S$ where $R_u$ is the unipotent radical and $S$ is the maximal semisimple subgroup.
If $R_u$ is abelian, then is it true that the center $Z$ of $G$ is not trivial?
lie-groups lie-algebras algebraic-groups
Let $G$ be a connected algebraic complex linear group, such that $G=R_ucdot S$ where $R_u$ is the unipotent radical and $S$ is the maximal semisimple subgroup.
If $R_u$ is abelian, then is it true that the center $Z$ of $G$ is not trivial?
lie-groups lie-algebras algebraic-groups
lie-groups lie-algebras algebraic-groups
asked Sep 1 at 4:30
Ronald
1,6631821
1,6631821
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