I know that an irreducible infinite-dimensional weight module over the Virasoro algebra in which it has a non-zero finite-dimensional weight space, then all its weight spaces have finite dimension. Does this result extend to finite-dimensional simple Lie algebras over complex numbers?

  • 1
    $\begingroup$ Ptonsbly the question needs a more precise formulation, to express "this result" clearly. Then the answer is likely to be "yes". $\endgroup$ – Jim Humphreys Jul 12 at 18:51

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.