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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Keywords: Dirac cohomology, discrete series, Dirac induction, L-packet, character lifting
Huang, Jing-Song 1
Huang, Jing-Song. Lifting discrete series by Dirac cohomology. Journal of Lie Theory, Special issue dedicated to the memory of Joseph A. Wolf, Volume 36 (2026) no. 1, pp. 77-92. doi: 10.5802/jolt.1420
@article{10_5802_jolt_1420,
author = {Huang, Jing-Song},
title = {Lifting discrete series by {Dirac} cohomology},
journal = {Journal of Lie Theory},
pages = {77--92},
year = {2026},
publisher = {XXXX},
volume = {36},
number = {1},
doi = {10.5802/jolt.1420},
language = {en},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1420/}
}
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