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Is every closed connected proper subgroup of $SO(2n+1)$ isomorphic (as a Lie group)
to a subgroup of $SO(2n)$? The answer is yes for abelian closed connected subgroups.
Is every closed connected subgroup of $SO(2n+1)$ isomorphic (as a Lie group)
to a subgroup of $SO(2n)$? The answer is yes for abelian closed connected subgroups.
Is every closed connected proper subgroup of $SO(2n+1)$ isomorphic (as a Lie group)
to a subgroup of $SO(2n)$? The answer is yes for abelian closed connected subgroups.
Do all closed connected subgroups of $SO(2n+1)$ embed into $SO(2n)$?
Is every closed connected subgroup of $SO(2n+1)$ isomorphic (as a Lie group)
to a subgroup of $SO(2n)$? The answer is yes for abelian closed connected subgroups.
