Hello paco (sorry, there were several typos in my previous post).
I'd be glad if I could be of some help. Frankly speaking, however, I'm not sure what is on your mind. 'Alive' as a predicative adjective simply cannot be a sentential adverb.
Would you mind if I quote some lines from
[link]
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... it is seen that adverbs fall into a number of different categories. For example, Some adverbs can be used to modify an entire sentence, whereas others can not. Even when a sentential Adverb has other functions, the meaning is often not the same.
For example, in the sentences She gave birth naturally and Naturally, she gave birth, the word naturally has different meanings (actually the first sentence could be interpreted in the same way as the second, but context makes it clear which is meant).
'Naturally' as a sentential Adverb means something like "of course" and as a verb-modifying Adverb means "in a natural manner".
The "hopefully" controversy (described below) demonstrates that the class of sentential adverbs is a closed class (there is resistance to adding new words to the class), whereas the class of adverbs that modify verbs is not.
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