Work

Translation of Dolbeault Representations

Year: 2019

Type: article

Abstract: 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.

Source: Journal of Lie Theory

DOI: 10.5802/jolt.1095

Author: N. Prudhon

Institutions: Centre National de la Recherche Scientifique, Institut Élie Cartan de Lorraine, Université de Lorraine

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7140910594

FWCI:

Cites: 11

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Related to: 10