Journal of Lie Theory

no. 3
On the Homomorphisms between the Generalized Verma Modules Arising from Conformally Invariant Systems
Journal of Lie Theory, Volume 23 (2013) no. 3, pp. 847-883
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.
DOI: 10.5802/jolt.754
Classification: 22E47, 17B10
Keywords: Conformally invariant systems, intertwining differential operators, generalized Verma modules, standard maps 
@article{JOLT_2013_23_3_a14,
     author = {T. Kubo},
     title = {On the {Homomorphisms} between the {Generalized} {Verma} {Modules} {Arising} from {Conformally} {Invariant} {Systems}},
     journal = {Journal of Lie Theory},
     pages = {847--883},
     year = {2013},
     volume = {23},
     number = {3},
     doi = {10.5802/jolt.754},
     zbl = {1277.22015},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.754/}
}
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T. Kubo. On the Homomorphisms between the Generalized Verma Modules Arising from Conformally Invariant Systems. Journal of Lie Theory, Volume 23 (2013) no. 3, pp. 847-883. doi: 10.5802/jolt.754

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