Lifting discrete series by Dirac cohomology

Dirac cohomology of a discrete series representation is an analogue of the highest weight vectors of a highest weight representation. We employ Dirac cohomology for the induction and character lifting of discrete series as well as determining the lifting of L-packets of discrete series.

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Publication Details

Journal
Journal of Lie Theory
Published
2026-06-17
DOI
https://doi.org/10.5802/jolt.1420
Primary Topic
Advanced Algebra and Geometry
Type
article
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article

Lifting discrete series by Dirac cohomology

Jing-Song Huang
Journal of Lie Theory
Advanced Algebra and Geometry
article

Lifting discrete series by Dirac cohomology

Jing-Song Huang
article en

Abstract

Dirac cohomology of a discrete series representation is an analogue of the highest weight vectors of a highest weight representation. We employ Dirac cohomology for the induction and character lifting of discrete series as well as determining the lifting of L-packets of discrete series.

Journal of Lie TheoryVol. 36(1)
Chinese University of Hong Kong, Shenzhen (CN)
Openalex Percentile: Top 3%
Advanced Algebra and Geometry
DOIOpen Access PDFOpenAlex
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