Global vector fields and the automorphism group of regular semisimple Hessenberg varieties
Mikiya Masuda, Takashi Sato, Haozhi Zeng
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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