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Global vector fields and the automorphism group of regular semisimple Hessenberg varieties
Abstract
For a connected regular semisimple Hessenberg variety other than the full flag variety, we prove that the identity component of its automorphism group is an algebraic torus. The argument uses equivariant local coordinates and weight-homogeneous coefficient functions of vector fields.
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BibTeX
@misc{masuda2026global,
title = {{Global vector fields and the automorphism group of regular semisimple Hessenberg varieties}},
author = {Mikiya Masuda and Takashi Sato and Haozhi Zeng},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04130},
eprint = {2611.04130},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04130},
}
RIS
TY - UNPB
TI - Global vector fields and the automorphism group of regular semisimple Hessenberg varieties
AU - Mikiya Masuda
AU - Takashi Sato
AU - Haozhi Zeng
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.04130
UR - https://arxiv.org/abs/2611.04130
AB - For a connected regular semisimple Hessenberg variety other than the full flag variety, we prove that the identity component of its automorphism group is an algebraic torus. The argument uses equivariant local coordinates and weight-homogeneous coefficient functions of vector fields.
ER -