English

Dirac series of $E_{7(-25)}$

Representation Theory 2022-10-21 v1

Abstract

By further sharpening the Helgason-Johnson bound in 1969, this paper classifies all the irreducible unitary representations with non-zero Dirac cohomology of the Hermitian symmetric real form E7(25)E_{7(-25)}.

Cite

@article{arxiv.2204.07902,
  title  = {Dirac series of $E_{7(-25)}$},
  author = {Yi-Hao Ding and Chao-Ping Dong},
  journal= {arXiv preprint arXiv:2204.07902},
  year   = {2022}
}

Comments

23 pages. arXiv admin note: text overlap with arXiv:1903.06861, arXiv:2107.09220

R2 v1 2026-06-24T10:50:06.706Z