Geodesic
Translation of Dolbeault Representations
Nicolas Prudhon1
1Université de Lorraine, Institut Elie Cartan, UMR 7502 - CNRS, France
Journal of Lie Theory, Tome 29 (2019) no. 4, pp. 1103-1118

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

We adapt techniques used in the study of the cubic Dirac operator on homogeneous reductive spaces to Dolbeault operators on elliptic coadjoint orbits. We reprove that cohomologically induced representations have an infinitesimal character, that cohomological induction and Zuckerman translation functor commute and we give a geometric interpretation of the Zuckerman translation functor for cohomologically induced representations.
Classification : 22E46, 17B10
Mots-clés : Dolbeault representations, cohomological induction, Zuckerman translation functors

Nicolas Prudhon  1

1 Université de Lorraine, Institut Elie Cartan, UMR 7502 - CNRS, France 
Nicolas Prudhon. Translation of Dolbeault Representations. Journal of Lie Theory, Tome 29 (2019) no. 4, pp. 1103-1118. http://geodesic.mathdoc.fr/item/JOLT_2019_29_4_a12/
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