English

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

Representation Theory 2021-10-12 v3

Abstract

Up to equivalence, this paper classifies all the irreducible unitary representations with non-zero Dirac cohomology for the simple Lie group E6(14)E_{6(-14)}, which is of Hermitian symmetric type. Each FS-scattered Dirac series of E6(14)E_{6(-14)} is realized as a composition factor of certain Aq(λ)A_{\mathfrak{q}}(\lambda) module. Along the way, we have also obtained all the fully supported irreducible unitary representations of E6(14)E_{6(-14)} with integral infinitesimal characters.

Keywords

Cite

@article{arxiv.1903.06861,
  title  = {Dirac series for $E_{6(-14)}$},
  author = {Lin-Gen Ding and Chao-Ping Dong and Haian He},
  journal= {arXiv preprint arXiv:1903.06861},
  year   = {2021}
}

Comments

32 pages, some strings are folded

R2 v1 2026-06-23T08:10:03.603Z