IMPROVED CONTINUITY CRITERIA FOR LOCALLY BOUNDED HOMOMORPHISMS BETWEEN CENTRAL EXTENSIONS OF PERFECT LIE GROUPS
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초록
We prove that every locally bounded homomorphism, between connected Lie central extensions of connected perfect Lie groups, where the source group is linear, taking the extending connected Abelian normal subgroup of the source group into the extending connected Abelian normal subgroup of the target group is continuous if and only if it is continuous on the extending connected Abelian normal subgroup of the source group.
Abstract
We prove that every locally bounded homomorphism, between connected Lie central extensions of connected perfect Lie groups, where the source group is linear, taking the extending connected Abelian normal subgroup of the source group into the extending connected Abelian normal subgroup of the target group is continuous if and only if it is continuous on the extending connected Abelian normal subgroup of the source group.
참고문헌 (6)
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