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This research demonstrates the nature of homomorphisms in generalized Verma modules, suggesting implications for differential operator systems.
It is shown by Barchini, Kable, and Zierau that conformally invariant systems of differential operators yield explicit homomorphisms between certain generalized Verma modules.In this paper we determine whether or not the homomorphisms arising from such systems of first and second order differential operators associated to maximal parabolic subalgebras of quasi-Heisenberg type are standard.
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T. Kubo (2013) studied this question.
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