Geodesic
On the Homomorphisms between the Generalized Verma Modules Arising from Conformally Invariant Systems
Toshihisa Kubo1
1Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
Journal of Lie Theory, Tome 23 (2013) no. 3, pp. 847-883

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 22E47, 17B10
Mots-clés : Conformally invariant systems, intertwining differential operators, generalized Verma modules, standard maps

Toshihisa Kubo  1

1 Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan 
Toshihisa Kubo. On the Homomorphisms between the Generalized Verma Modules Arising from Conformally Invariant Systems. Journal of Lie Theory, Tome 23 (2013) no. 3, pp. 847-883. http://geodesic.mathdoc.fr/item/JOLT_2013_23_3_a14/
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     author = {Toshihisa 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},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2013_23_3_a14/}
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