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PreprintCC BY 4.0arXiv

A Cotangent Model for the Next-to-Minimal Orbit of E7

  • Boming Jia
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Abstract

Let 𝒪2A1 be the next-to-minimal nilpotent orbit of the complex simple Lie algebra of type E7. Let p7 be the maximal parabolic subalgebra corresponding to the simple root α7, and let u+ be its nilpotent radical. We prove that the affinization T*(𝒪2A1∩u+)aff of the cotangent bundle of 𝒪2A1∩u+ is isomorphic to the nilpotent orbit closure 𝒪̅2A1 as affine varieties.

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Cite

BibTeXRIS
BibTeX
@misc{jia2026cotangent,
  title = {{A Cotangent Model for the Next-to-Minimal Orbit of E7}},
  author = {Boming Jia},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.29537},
  eprint = {2609.29537},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.29537},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A Cotangent Model for the Next-to-Minimal Orbit of E7
AU  - Boming Jia
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.29537
UR  - https://arxiv.org/abs/2609.29537
AB  - Let 𝒪_2A_1 be the next-to-minimal nilpotent orbit of the complex simple Lie algebra of type E_7. Let p_7 be the maximal parabolic subalgebra corresponding to the simple root α_7, and let u^+ be its nilpotent radical. We prove that the affinization T^*(𝒪_2A_1∩u^+)^aff of the cotangent bundle of 𝒪_2A_1∩u^+ is isomorphic to the nilpotent orbit closure 𝒪̅_2A_1 as affine varieties.
ER  -