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ronggang
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Let $G$ be a Lie group and $H$ be a subgroup generated by some one parameter unipotent subgroups (in group sense). Is it true that $H$ has a Lie group structure which makes it a Lie subgroup of $G$? Is $H$ closed?

How about for general subgroups?

Let $G$ be a Lie group and $H$ be a subgroup generated by some one parameter subgroups (in group sense). Is it true that $H$ has a Lie group structure which makes it a Lie subgroup of $G$? Is $H$ closed?

How about for general subgroups?

Let $G$ be a Lie group and $H$ be a subgroup generated by some one parameter unipotent subgroups (in group sense). Is it true that $H$ has a Lie group structure which makes it a Lie subgroup of $G$? Is $H$ closed?

How about for general subgroups?

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ronggang
  • 853
  • 4
  • 13

is the subgroup generated by one-parameter unipotent subgroups a Lie subgroup?

Let $G$ be a Lie group and $H$ be a subgroup generated by some one parameter subgroups (in group sense). Is it true that $H$ has a Lie group structure which makes it a Lie subgroup of $G$? Is $H$ closed?

How about for general subgroups?