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Can it be omitted in the following sentence:

On the other hand, more than a century later there is no complete classification of solvable algebras, nor is it in principle possible to obtain complete classification to isomorphism classes.

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Edit: This question actually seems to be related: When is it ok to omit subject?

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    We can't just leave it out. A subject is needed. One could say "nor, in principle, is obtaining a complete classification possible". Or simply "nor, in principle, is a complete classification possible."
    – TimR
    Commented May 8, 2016 at 13:28
  • Also, we would say "classification of" not "classification to".
    – TimR
    Commented May 8, 2016 at 13:30
  • Thanks @TRomano . As a sidenote, out of context it may seem that it should say "of" instead of "to" however, it would mean a different thing and is not actually right in my case.
    – leevanoetz
    Commented May 8, 2016 at 18:45
  • "classification to classes" may be acceptable jargon in your discipline, but it's not idiomatic English. Why is it "classification of solvable algebras" but "classification to ... classes"?
    – TimR
    Commented May 8, 2016 at 19:34
  • This is about sorting something into categories, algebras are sorted into classes, hence "classification of solvable algebras to isomorphism classes". I hope this makes sense.
    – leevanoetz
    Commented May 8, 2016 at 20:15

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No, we can't omit it from the sentence. It is the subject of its clause.

Answer to edit: There is no subject omitted in the question you link to in your edit.

As far as when you can omit the subject of a sentence or independent clause, the thing that comes immediately to mind are second person commands:

(You) go there!

(You all) please be quiet!

A person "commanding" himself to do things could use a similar form:

Okay, relax, breath, stay calm.

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