Capelli type identities on certain scalar generalized Verma modules
Wachi, Akihito
J. Math. Kyoto Univ., Tome 40 (2000) no. 4, p. 707-729 / Harvested from Project Euclid
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We give an analogue of the Capelli identity. The analogue is constructed on certain scalar generalized Verma modules of the complex simple Lie algebras of Hermitian symmetric type, and has stronger compatibility with group actions than the original Capelli identity. As in the original case, the analogue expresses certain invariant operators as operators from the center of the universal enveloping algebra. We also give examples for all the possible cases except for $E_{7}$.
Publié le : 2000-05-15
Classification:  
@article{1250517662,
     author = {Wachi, Akihito},
     title = {Capelli type identities on certain scalar generalized Verma modules},
     journal = {J. Math. Kyoto Univ.},
     volume = {40},
     number = {4},
     year = {2000},
     pages = { 707-729},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250517662}
}

Wachi, Akihito. Capelli type identities on certain scalar generalized Verma modules. J. Math. Kyoto Univ., Tome 40 (2000) no. 4, pp.  707-729. http://gdmltest.u-ga.fr/item/1250517662/