Dirac series for $E_{6(-14)}$

Lin-Gen Ding; Chao-Ping Dong; Haian He

doi:10.1016/j.jalgebra.2021.10.002

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arXiv · 1903.06861

Dirac series for $E_{6(-14)}$

Lin-Gen Ding·Chao-Ping Dong·Haian He

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Abstract

Up to equivalence, this paper classifies all the irreducible unitary representations with non-zero Dirac cohomology for the simple Lie group $E_{6(-14)}$, which is of Hermitian symmetric type. Each FS-scattered Dirac series of $E_{6(-14)}$ is realized as a composition factor of certain $A_{\mathfrak{q}}(λ)$ module. Along the way, we have also obtained all the fully supported irreducible unitary representations of $E_{6(-14)}$ with integral infinitesimal characters.

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BibTeX RIS

Lin-Gen Ding, Chao-Ping Dong, Haian He. 2020-05-15. Dirac series for $E_{6(-14)}$. https://doi.org/10.1016/j.jalgebra.2021.10.002

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