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A note on parabolic Verma module homomorphisms over Kac-Moody Algebras

Published 9 Sep 2020 in math.RT | (2009.04147v2)

Abstract: We consider a general parabolic category $\mathcal{O}_{S}$ over symmetrizable Kac-Moody algebras. We introduce a reduction rule of hom-spaces between parabolic Verma modules over different Kac-Moody algebras which yield some applications on parabolic Verma module homomorphisms.

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